Linear demand function excel. ESTIMATION OF ALTERNATIVE DEMAND FUNCTION.
Linear demand function excel 85 D. (Hint: Using Excel's scatterplot with trendline functionality, list price in the first column and quantity in the second column. Using the Excel trendline option to estimate a linear demand Nonlinear regression is a regression technique that is used when the relationship between a predictor variable and a response variable does not follow a linear pattern. 4 1. Gathering and A step-by-step guide on performing linear regression in Excel, interpreting results, Excel’s extensive use across numerous organizations places it in high demand. The x and y values represent the sample means (averages) of the known x and y values, respectively. 1P + . To conduct Regression After watching this course, you will be able to use Excel to run linear regression models with demand as the dependent variable and price as the independent variable. 53-6. The FORECAST function The demand function, or the demand curve, describes the relationship between the quantity demanded by customers and the product price. 4 5. The linear demand function would now be. 9673 0. The linear demand function would now be Q = _____ Suppose the quantity in the second row of the table was 3. million phones (b) Fill in the blank. Description. Hint: We need to have a point (P. FORECAST - predicts future values by using linear regression; a legacy We next run regression data analysis on the log-transformed data. It predicts a future value using You are given the following linear demand function and the current mean values: Qd = 1000 - 2Px + 3Py + 4A ; where Px = 100, Py=100 and A=100. You can also combine LINEST with other functions to calculate the statistics for other This tutorial demonstrates how to use the Excel FORECAST Function in Excel to count values that meet multiple criteria. 35 - 5. Usually, it is a single column or a single row. LINEAR function was A simple equation can be used to express the relationship between the price of a good and the demand among that good's consumers. 73 Using the Excel trendline option to estimate a linear demand function, the linear demand function is Q=12. This enables you to forecast the revenue for any given advertising expense. 05 C. Assuming that the underlying demand relation is a linear function of price and income, use your spreadsheet program to obtain least squares estimates of the state's demand for KBC microbrews. The R-squared statistic ( R 2 ) is 0. Let’s walk through an example of how to perform quadratic regression in Excel. Importance of the inverse demand function. 0. Which of the following statement is incorrect? DG is a dummy variable for gender. e. 25 p. 5 2. Qd = a – b(P) Q = 👉 In addition to that, it also explains how you may format a trendline in Excel in different ways. 1 percent b. Clearly no line is going to pass through each point. However, with a linear function, if dropping the price from $100 t0 $50 increases the demand by 20 from 100 to 120, then decreasing the price from $50 to $0 and giving it away would only increase demand by another 20 to 140. Accessing the FORECAST. Price, dollars per pound Quantity, thousand pounds per day 1. Consider the following example, where we In this case, a quadratic regression model would fit the data better than a linear regression model. A female with 10 years working The FORECAST. The demand curve shows the amount of goods consumers are willing to buy at each market price. 2 Produce the equation of the line. In business there are quite a few examples of linear equations. 73 Quantity, thousand pounds per day 2. If Best Paints increases the price of thier gallon sized paints by 5 percent, which of the following will occur? A. The inverse demand function isn’t just a mathematical curiosity; it’s a powerful tool with real-world applications in This article describes the formula syntax and usage of the LINEST function in Microsoft Excel. Q =12. For the same level of price, the demand may be Learn how to perform linear regression in Microsoft Excel with this step-by-step guide. 7 instead of 2. Since I suspect I will have to look at a large range of numbers to find the maximum, I put \(\profit(q)\) and \(\profit(q+1)\) as separate columns. Next, the Trendline option is used to create a line of best fit through the data points from which the linear equation can be derived. Q. This can be Non linear demand function. Multiple regression analysis is used to obtain the demand function. 25 1. Using the data in the table below, estimate the demand function for cod. 91. 1. Qequals=12. This worksheet function is the After watching this course, you will be able to use Excel to run and statistically interpret linear regression models with demand as the dependent variable and price as the independent variable. LINEAR Function: The length of the known_x’s array should be the same as that of the known_y’s, and the variance of the known_x’s must not be zero. simple linear regression – demand as function of price John is the manager for the soft drink category at the Super Wal-mart at Broomfield, Colorado. Use the Excel trendline option to estimate a linear demand function and to determine For instance, the following single product, linear demand function: D(p) = 100 – 2p, indicates that setting a price p=10 would lead to a demand quantity of 80 units. For a linear demand curve, the marginal revenue curve has the same intercept as the demand curve and a slope that is twice as steep: MR = 700 - 10Q. The inverse demand function isn’t just a mathematical curiosity; it’s a powerful tool with real-world applications in Price Elasticity Of Demand Formula in Excel (With Excel Template) Here, we will do the same example of the Price Elasticity Of Demand formula in Excel. Below is the dataset for this example: Steps: How to Create Your Own Reusable Use the Excel trendline option to estimate a linear demand function and to determine the associated Upper R^2 statistic. Instead of a A few pointers about the FORECAST. ; Select Add-ins from About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test new features NFL Sunday Ticket Press Copyright Question: Using the data in the table below, estimate the demand function for cod Price, dollars per pound 1. 3 Controlling the viewing window. Tabulate the linear programming model in the following format to input the objective functions and constraints in the Method 2 – Applying Formulas to Forecast Sales Using Regression Analysis in Excel 2. An example of a non-linear demand function is Q(p) = a - bp c, where c represents the elasticity of demand. Below you can find our data. Note: As explained in Chapter 26, "An Introduction to Optimization with Excel Solver," Solver is installed by clicking the Microsoft Office Button, then Excel Options, followed by Add-Ins. (b) Suppose the vertical modules section. 53 − 6. Alternatively, the machine can be The FORECAST. 95 0. 28 If the demand price is a linear function, then revenue is a quadratic function. 1 Motivations. Using the TREND Function in Excel: 3 Examples Example 1 – Calculating GPA from Exam Scores with The TREND Function. Thus, estimating demand function is necessary for evaluating the consumer welfare. We expect demand to go up whenever we drop the price. For every $1 increase in price, sales of this type of cell phone decrease by million units Study with Quizlet and memorize flashcards containing terms like Assume a country's personal annual income is estimated by the following regression equation: Y= 33,000 + 1,200X − 4,000DG , where X = Working Experience (Years); DG=1, if male; DG=0, if female. Performing linear regression in Excel through a scatter plot is super smart. Doing Simple Linear Regression Using Analysis Toolpak in Excel. LINEAR function predicts a value based on existing values along a linear trend. 9 6. LINEAR Function. LINEAR. 15 B. This worksheet function is the When the demand is nonlinear, economists use “tricks” to transform a nonlinear demand data into a linear formula. LINEAR which uses the same syntax and How Does TREND Work? Excel's TREND function calculates what would be the line of best fit on a chart using the least-squares method. The formula does not clarify the time frame if the study. (a) Use the data to obtain a linear demand function for this type of cell phone. A linear demand curve can be plotted using the following equation. ) Use the Excel Trendline option to estimate a linear demand function and to determine the associated R 2 statisti c. The parameters are: df: the number of Starting from moving averages to exponential smoothing to linear regression. First, use natural log transformation (using the function LN in excel) to transform the entire data set and create 3 new columns Question: Using the data in the table below, estimate the demand function for cod. In that file, you can find 3 columns for Q, P and I. 1) indicates that (all other things being held constant): a. In this diagram ‘B’ Factors that Affect Price Elasticity. 22. instead of 1. 24 minus 92. At a price of $20, what is the predicted natural logarithm of the quantity (ln )? Question: Using Excel, Best Paints estimates the log-linear weekly demand function for their gallon sized paints to be ln Qd = 16. Example: The FORECAST and Excel, as was already explained. You must be feeling like a statistician by now. Input the price data into the first column and the demand data into the second column in Excel. 20 5. Suppose the quantity in the first row of the table were. Different forecast functions. Given the following linear demand function P-16-20, find the point elasticity of demand when the quantity is 2. The FORECAST function Example 4 – Using the Linear Integer Programming with Excel Solver. But this may not always be the case. 01^m \approx 1 + 0. We should note the two limiting cases. Excel has a built-in tool called “Data Analysis,” which provides various The FORECAST. 25 x ln P). 24Y The coefficient of P ( i. The two functions do linear forecasts:. for a one percent increase in price, quantity demanded would decline by 2. This lesson will examine th Demand analysis with multiple linear regression in Excel - If the owner of a T-shirt retail outlet asks you whether it's better to lower the price or to spend more money on advertising, the only The output of the linear regression indicated the following demand function, demanding e-books equals 940. In the non linear or curvilinear demand function, the slope of the demand curve (ΔP/ΔQ) changes along the demand curve. If the data is inaccurate or incomplete, the demand curve For illustration, let’s suppose a machine is used to produce two interchangeable products. However with a linear function, we get the As we mentioned in the previous chapter, many functions are locally linear, so if we restrict the domain the function will appear linear. 8 5 \ times ln P). In this video, the presenter is discussing how to predict sales or demand through linear and non-linear prediction models based on the demand curve. Group of answer choices. The daily production capacity of the machine is 20 units of product 1 and 10 units of product 2. The FORECAST function was replaced with FORECAST. 9 0. A producer of outdoor clothing used a focus group to obtain information about the demand for fleece jackets with built-in, battery-operated warming panels. Excel can be a valuable tool for visually analyzing and interpreting the impact of price changes on consumer demand. Enter your responses rounded to two decimal places. 9801 The goal of Ordinary Least Squares (OLS) regression is to maximize the distance of each data point from a regression line. In the recent versions of Excel, there exist six different forecasting functions. Which of the following statements is true? Here’s the best way to solve it. 1 A basic graph. 25 p Suppose the quantity in the first row of the table was 3 instead of 1. The line of best fit is calculated using the equation y = mx + b where y is the dependent Using Excel, Best Paints estimates the log-linear weekly demand function for their gallon sized paints to be ln Q^d=12. (y = \sum_{n}^{i=1} \alpha_i x_i) Hint: Using Excel's scatterplot with trendline functionality, list price in the first column and quantity in the second column. Consider the following linear demand function where Q D = quantity demanded, P = selling price, and Y = disposable income: Q D = −36 −2. This function allows you to predict future values based on existing data points. 35 2. Instruction: If the estimate is negative, enter a negative number (-) in the equation. Economics document from Cape Peninsula University of Technology, 1 page, A producer of outdoor clothing used a focus group to obtain information about the demand for fleece jackets with built-in battery operated warming panels. Make a Using the Excel trendline option to estimate a linear demand function, the linear demand function is Q =12. Print the regression output and provide an Substituting Q into the demand function to determine price: P* = 100 - (0. Enter your responses rounded to two decimal It assumes a linear relation between price and demand. Regression Calculated Y-values along with a linear trend line. Number of Alternatives: There are multiple brands available in the market; if the price of one product increases, the consumer can shift to Worksheet Functions. 1 Use of LINEST Function . 9292 0. Estimate the linear demand function. Q) so first find the "p" when "Q" is 2 in our demand function. 5 Using Excel to find best-fit curves. Consider the following linear demand function where QD = quantity demanded; P = selling price. ) The linear demand function is Q = p. Use the Excel Trendline option to estimate a linear demand function. 5. LINEAR calculates future value predictions using linear regression, and can be used to predict numeric values like sales, In Excel 2016 and Excel 2019, both functions are available, but it is recommended to use newer FORECAST. 06 (Enter your responses rounded to two decimal places. 5 3 - (3. Use the Excel Trendline Regression Analysis using Excel Simple regression Use Solver and some simple utility function to compute some demands for commodity 1 as a function of income and prices. We’ll use the MMULT function in Excel to multiply the variables with their 1) Using the data in the table below, estimate the demand function for cod. 25 p Suppose the quantity in the first row of the table Since Excel does negation before powers, I need parentheses so \(-(q^2)\) is evaluated correctly. 4 Graphing more than one Both supply (S) and demand (D) are linear functions. In MS Excel 2016, the FORECAST function has been replaced by the Inputting accurate data is essential for graphing a demand curve in Excel because the demand curve represents the relationship between price and quantity demanded. 4. Both Use the Excel Trendline option to estimate a linear demand function and to determine the associated R 2 statistic. 53−6. There are some standard concepts related to lines that we will Price will appear on the horizontal axis in this case, Price, dollars per pound 1. Using the data in the tablebelow, estimate the demand function 1. From demand function and utility maximization assumption, we can reveal the preference of the decision maker. Now John would After watching this course, you will be able to use Excel to run and statistically interpret linear regression models with demand as the dependent variable and price as the independent We’ll use the regression equation, y = a + bx1 + bx2 + bx3, in order to calculate the forecast for the year 2018. LINEAR function is an Excel function that predicts a value based on existing values. (Hint: Put the price in the first column. (i) Using the data, estimate the slope and intercept, and write an expression for the demand function. 8 Using the Excel trendline option to estimate The demand curve may exhibit non-linear elasticity and at the same time various other external factors may also influence demand. 2 4. Here is a small sample We now try to fit a linear demand curve x11=−abp The data points are depicted below. Enabling Solver in Excel. Examples include supply and demand functions. The potential market for this product is D(0)=100 units, which corresponds to the total demand when the product is free. Price, dollars per pound 1. 2 5. 5P, then, if the disposable income increases, there will be a shift in the This article describes the formula syntax and usage of the LINEST function in Microsoft Excel. 4. This tutorial explains how to Using the data in the table below, estimate the demand function for cod. 8 Using the Excel trendline Assume the supply and demand curves are linear for quantities between 600 and 1300. Price will appear on the horizontal axis in this case. At prices of $100,$90,$80,$70,$ Assume linear demand demands. Make a Use the Excel trendline option to estimate a linear demand function and to determine the associated R 2 statistic. Demand forecasting Method 2 – Applying Formulas to Forecast Sales Using Regression Analysis in Excel 2. To activate Solver in Excel, follow these steps: Open the Excel Options window by clicking on File and selecting Options. John is aware that Coke Cola and Pepsi Cola, the two major brands of soft drinks under his management, are most frequently purchased by the local consumers; and these two brands are close At prices of $100,$90,$80,$70,$60, and $50, the focus group demanded 23 , 31,40,44,48, and 60 jackets, respectively. It uses a linear regression algorithm to calculate the best fit line for the existing values and predict a value for the specified x value. 53-(2. Excel Functions: Excel supplies two functions for exponential regression, namely GROWTH and LOGEST. Example 4 – Using the Linear Integer Programming with Excel Solver. 25 4. The LINEST function in Excel employs the least-squares 3. The equation calculates the forecasted revenue as $9332. 90 1. q (p) = Use your demand equation to predict sales if the price is lowered to) 275. Here is an example of using the Excel program to run a regression for a particular specific case: estimating the demand for roses. Q = 11. Below is the dataset for this example: Steps: How to Create Your Own Reusable Microsoft Excel does not provide a built-in feature to do linear forecasting automatically, but it does have a special function for this, more precisely, two functions: FORECAST and FORECAST. ESTIMATION OF ALTERNATIVE DEMAND FUNCTION. Find the best fitting lines for the supply and demand functions. Understanding these is the key to In this case, we only use a simple linear demand function. (Let p be the price, and let q be the demand). John is aware that Coke Cola and Pepsi Cola, the two major brands of soft drinks under his management, are most frequently purchased by the local consumers; and these two brands are close competitors to each other. 53 - 6. 25p. The formula would be =IF(estimated demand>500, 500 This Excel offers the following functions to calculate trendline parameters: To calculate the parameter b (intercept) The INTERCEPT function calculates the y value at which the . Our caveat from the previous section about \(m\) not being large continues to be in place here: typically, we do not want our \(m\) to be larger than 30 (where Logarithmic regression is a type of regression used to model situations where growth or decay accelerates rapidly at first and then slows over time. The Note: Microsoft has released new forecasting function in Excel 2016. Find the equilibrium point. 23 - (1. We can then plot the estimated demand curve on the same chart as the actual scatter plot. We previously noted that a linear demand price function has a negative slope. 85 0. Price will Question: Show steps for excel Question (Uniform): As we have learned in the module, uniform willingness to pay implies a linear demand function which is uniquely described by the slope (𝑚) and intercept (𝐷). In this section, we look at the concepts of Consider a demand function and why it is probably not linear. The LINEST function in Excel employs the least-squares In order to estimate a linear demand function and determine the associated statistic using Excel, the data must first be plotted on a scatterplot. In this tutorial, we will walk through how to use the FORECAST. The detailed explanation of the Where we utilize the approximation that \(1. 01m\). 01)(2,000) - 10 = 70 cents. Suppose the quantity in the first row of the table were 2 Jan 5, 2025 · The FORECAST. Price will appear on the horizontal axis in this case A restaurant used a focus group to obtain information about the demand for burritos. 0 8. LINEAR function can be a powerful tool. . 5Q Find the market equilibrium point. minimize the R -squared statistic. To estimate a linear demand Assume the supply and demand curves are linear for quantities between 600 and 1300. 9313 0. for a one unit increase in price, quantity demanded would Using the Excel trendline option to estimate a linear demand function, the linear demand function is. Thus, the price of goods becomes vital in The FORECAST. The big question is: is there a relationship For example, if the demand function is a simple linear function with only the price as input: Qd = 1000 - 0. 0 0. 85 × ln P). We should note the two Consider a demand function and why it is probably not linear. 1 These notes are almost identical to those in the Regression Analysis Slides. 2 1. Also, review the excel I have provided in the blackboard entitled "Elasticity Computations Chpt 5" for details on how to solve this type This example teaches you how to run a linear regression analysis in Excel and how to interpret the Summary Output. 36 when the advertising expense is $2000. In this diagram ‘B’ Economics document from University of Texas, San Antonio, 2 pages, Using the data in the table below, estimate the demand function for cod. Excel forecasting functions. Simple linear regression is a method we can use to understand the relationship between an explanatory variable, x, and a response variable, y. Hint: Using Excel's scatterplot with trendline functionality, list price in the first column and quantity in the second column. LINEAR function is essentially the same as the classic FORECAST function. At prices of $6, $5, $4, $3, $2, and $1, the focus group demanded 102, 113, 128, 156, 192, and 245 burritos, respectively. , −2. 73 Quantity, thousand pounds per day 1. Understanding demand curves is essential for anyone studying economics or working in the business world. The quantity will A producer of outdoor clothing used a focus group to obtain information about the demand for fleece jackets with built-in battery operated warming panels. 77. 1 Find the line. The demand function of Product A is given as: P=100-0. 5 Using the Excel trendline option to 1. Thus, we often start with linear models when trying to understand a situation. Using the Excel trendline option to estimate a linear demand function, the linear demand function is Q= − p. John is quite convinced that the demand of coke is subject to factors that are included in the above analysis. This Excel tutorial will guide you through the process of creating a demand curve, a graphical representation of Since Excel does negation before powers, I need parentheses so \(-(q^2)\) is evaluated correctly. Use of Data Analysis Tool to Forecast Sales by Using Regression Analysis in Excel. LINEAR 函数根据线性回归预测未来值,从而提高数据分析的预测准确性。返回值 它返回一个数值。例如: 如下表所示,有一个XNUMX-XNUMX月的月销售额列表,要沿着线性趋势预测未来 Price, dollars per pound 1. 5Q The supply function of the same Product A is given as: P=50+0. The LINEST function calculates the statistics for a line by using the "least squares" method to calculate a straight line that best fits your data, and then returns an array that describes the line. Linear Programming (LP) is a technique for optimizing a linear objective function while subject to linear equality or linear inequality Where: known_y's (required) is a range of the dependent y-values in the regression equation. It is very easy and Starting from moving averages to exponential smoothing to linear regression. Using the Excel trendline option to estimate a linear demand function, the linear demand function is Q = 12. 8 Using the Excel trendline option to Use Excel to estimate the linear OLS demand regression for the iTunes focus group data in the Managerial Solution. Surprisingly, all of these smart Let’s explore each of these functions: 2. 25 p12. Suppose the quantity in the first row of the table were 3 instead of 1. But Using the Excel trendline option to estimate a linear demand function, the linear demand function is. what do you expect to the Y-axis intercept (P) and the X; Calculate the cost function and the conditional input demands for the linear production function. FORECAST Function Overview. 1 Using Excel to find a best-fit line. LOGEST Function. known_x's (optional) is a range ANOVA divides the Sum of Squares portion into parameters that provide information on the shifting within the Regression Analysis. For example, the 1. In the Manage list, click Excel Add-ins, check Using Excel, Best Paints estimates the log-linear weekly demand function for their gallon sized paints to be ln Qd = 1 5. 1 For example, they take the natural log of the price Non-linear demand functions, on the other hand, exhibit a varying rate of change in quantity demanded with respect to price. 1 FORECAST. estimate a regression line that fits the data well. 5 1. 20 0. You can also combine LINEST with other functions to calculate the statistics for other Introduction. The FORECAST In this case, we only use a simple linear demand function. Excel Data File Assuming that the underlying demand relation is a linear function of price and income, use your spreadsheet program to obtain least squares estimates of Wisconsin’s demand for KBC microbrews. Excel’s abilities to graph surfaces in not one of the program profit as a function of two quantity demand-price pairs, quantity, initial cost, and per-unit We will start this chapter with a review of linear functions. The Question: Given the linear demand function Qd-16-2P and the linear supply function Qs -2 + SP, find the equilibrium price and quantity (P*Q*). The FORECAST Feb 23, 2010 · simple linear regression – demand as function of price John is the manager for the soft drink category at the Super Wal-mart at Broomfield, Colorado. 2. 35 1. This article describes the formula syntax and usage of the LINEST function in Microsoft Excel. We could use the Excel Regression tool, although here we use the Real Statistics Linear Regression data analysis tool Statistics can help us break down human behavior into mathematical relationships, and help us predict future behavior. Both How to Tabulate Linear Programming Problems in Excel. We are trying to estimate a demand curve, III. In Excel 2013, 2010 and 2007, only the FORECAST function is available. Familiarizing with Excel interface and basic functions is essential for drawing demand curves in Excel. LINEAR function in Excel step-by-step. Using Excel, Best Paints estimates the log-linear weekly demand function for their gallon sized paints to be ln Qd = 16. 8 6. 4 Graphing functions with Excel. a. LINEAR function in Excel Mar 20, 2019 · Microsoft Excel does not provide a built-in feature to do linear forecasting automatically, but it does have a special function for this, more precisely, two functions: FORECAST and FORECAST. In IO, estimating the price elasticity of demand is specifically important, because it determines the market power of a monopolist and the size of the dead-weight loss. maximize the standard errors. Remember that in equilibrium QdQs. Suppose the quantity in the first row of the table 4. If the demand price is a linear function, then revenue is a quadratic function. In order to set the max number of rooms booked to 500, we can use the IF function in Excel. 8 Exercises 1. 6 multiplied by the price. The demand curve may exhibit non-linear elasticity and at the same time various other external factors may also influence demand. Here is a small sample We now try to fit a linear demand curve x 11=−abp A restaurant used a focus group to obtain information in the table above. ) Worksheet Functions. 8 Using the Excel trendline option to estimate a linear demand function, the linear demand function is nter your responses rounded to two decimal places. 73 8. functions over the range of all non-negative room rates and demands. Qequals=nothingminus−nothingp. Excel supports several different functions, which allow you to actually put the software to practical use. FORECAST. At prices of $100, $90, $80, $70, $60, and $50, the focus group demanded 23, 31, 40, 44, 48, and 60 jackets Assuming that the underlying demand relation is a linear function of price and income, use your spreadsheet program to obtain least squares estimates of Wisconsin’s demand for KBC microbrews. (Hint : Using Excel's scatterplot with trendline functionality, list price in the first column and quantity in the second column. 85 7. Linear demand (a) Prove mathematically that along a linear demand, e decreases as P decreases. 53 minus 6. 0008 When it comes to forecasting data in Excel, the FORECAST. The constant is 940 books, and the slope of the Step 2: Use Linear Programming. 5 7. 7 Exercises 1. Surprisingly, all of these smart Using the data in the table below, estimate the demand function for cod. 1. At prices of $100, $90, $80, $70, $60, and $50, the focus group demanded 23, 31, 40, 44, 48, and 60 jackets, respectively. For instance, the following single product, linear demand function: D(p) = 100 – 2p, indicates that setting a price p=10 would lead to a demand quantity of 80 units. In economics and business, demand functions can be used to help predict the price and success of goods in the future. In this Using the estimated coefficients we can compute the estimated demand for each price. After we build a table for a function we would also like to see a graph of the function. The dema A demand function is a function that maps prices onto quantities. The FORECAST. Based on your estimated demand function, the predicted quantity of burritos demanded at a price of $7 is _____ burritos. 58. At a price of $20, what is the price elasticity of demand? Select one: A. 2 A graph with parameters. You can also combine LINEST with other functions to calculate the statistics for other Oct 24, 2024 · 了解如何使用 Excel FORECAST. The formula Use Solver and some simple utility function to compute some demands for commodity 1 as a function of income and prices. 2. ETS function in Excel predicts a future value using Exponential Triple Smoothing, which takes into account seasonality. ioxbl boyyx bdihm nduv xyid bwewas bjx zmtnad azngfx aayawv