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Please answer the bolded questions using Excel and show all formulas Income Temp Price Demand The data in columns A, B, C and D represent
Please answer the bolded questions using Excel and show all formulas
Income | Temp | Price | Demand | The data in columns A, B, C and D represent imaginary data from all 50 states regarding soda consumption. "Demand" | |||||||||||||||||||||
11.7 | 66 | 2.19 | 200 | represents cans of pop consumed per capita per year, "Price" represents average price of a 6-pack of pop (in $), | |||||||||||||||||||||
15.3 | 62 | 1.99 | 150 | "Temp" represents average yearly temperature (in Fahrenheit), and "Income" represents per capita income per year (in thousands) | |||||||||||||||||||||
9.9 | 63 | 1.93 | 237 | Use the data to answer the following 6 questions: | |||||||||||||||||||||
22.5 | 56 | 2.59 | 135 | ||||||||||||||||||||||
17.1 | 52 | 2.29 | 121 | ||||||||||||||||||||||
24.3 | 50 | 2.49 | 118 | 1) (1 point) What is the regression equation for Demand in terms of Income, Temp, and Price variables? | |||||||||||||||||||||
25.2 | 52 | 1.99 | 217 | Write in the final equation in the highlighted cell below. However, to obtain this equation you'll need to run | |||||||||||||||||||||
16.2 | 72 | 2.99 | 242 | regression with Excel. When it asks where you'd like to place your regression output, select a new sheetso that the regression | |||||||||||||||||||||
12.6 | 64 | 1.89 | 295 | output appears on a new sheet within this Excel file. | |||||||||||||||||||||
14.4 | 46 | 2.35 | 85 | ||||||||||||||||||||||
21.6 | 52 | 2.17 | 114 | Note that you are NOT to utilize the Principle of Parsimony in this quiz, i.e. run the regression only ONCE using ALL X-variables | |||||||||||||||||||||
18 | 52 | 2.18 | 184 | and answer this question (and the ones that follow) questions based on the resulting output. | |||||||||||||||||||||
14.4 | 50 | 2.11 | 104 | Be sure to include residuals and residual plots, and use a 95% confidence level when running your regression. | |||||||||||||||||||||
15.3 | 56 | 2 | 143 | ||||||||||||||||||||||
11.7 | 69 | 2.15 | 230 | When writing the equation for this question, you may round your intercept and slope coefficients to nearest hundredth. | |||||||||||||||||||||
13.5 | 73 | 3 | 111 | ||||||||||||||||||||||
14.4 | 22 | 1.5 | 217 | Equation given by running multiple linear regression: | |||||||||||||||||||||
18.9 | 47 | 1.8 | 114 | ||||||||||||||||||||||
19.8 | 40 | 1.89 | 108 | ||||||||||||||||||||||
18.9 | 55 | 1.76 | 248 | ||||||||||||||||||||||
16.2 | 56 | 1.8 | 203 | 2) (1 point) Using the regression equation, forecast demand in a situation where Income = 10, Temp = 60 and Price = 2. | |||||||||||||||||||||
9 | 65 | 1.4 | 77 | (Use exact values from regression output in your calculations. Answer cell should show formula/cell reference/work.) | |||||||||||||||||||||
17.1 | 70 | 2.19 | 200 | ||||||||||||||||||||||
17 | 71 | 2.25 | 210 | ||||||||||||||||||||||
14.4 | 63 | 2.09 | 185 | ||||||||||||||||||||||
21.6 | 59 | 1.89 | 135 | 3) (1 point) Based only on the regression output (and the description of variables at the top of this worksheet), what would be the forecasted | |||||||||||||||||||||
13.5 | 60 | 1.83 | 222 | effect on Demand if Price were to increase by 50 cents, all other variables remaining equal? | |||||||||||||||||||||
22.5 | 53 | 2.49 | 120 | In other words, without regard to the other variables, how would Demand be forecasted to change if price were to increase by 50 cents? | |||||||||||||||||||||
11.2 | 49 | 2.19 | 106 | Below, first highlight whether or not this price increase would increase or decrease demand, | |||||||||||||||||||||
14.8 | 47 | 2.39 | 103 | and then in the green cell put a number that corresponds to the amount of this increase or decrease of demand. | |||||||||||||||||||||
9.4 | 49 | 1.89 | 202 | As an example, if demand would increase by 5, select 'increase' and put a 5 in the answer cell. If demand would decrease by 5, select 'decrease' and put a 5 in the answer cell, | |||||||||||||||||||||
22 | 69 | 2.89 | 227 | so the answer cell will always be positive. Answer cell should show some type of formula/cell reference/work/justification. | |||||||||||||||||||||
16.6 | 61 | 1.79 | 280 | ||||||||||||||||||||||
23.8 | 43 | 2.25 | 70 | ||||||||||||||||||||||
24.7 | 49 | 2.07 | 99 | Demand would increase | |||||||||||||||||||||
15.7 | 49 | 2.08 | 169 | ||||||||||||||||||||||
12.1 | 47 | 2.01 | 89 | ||||||||||||||||||||||
13.9 | 53 | 1.9 | 128 | ||||||||||||||||||||||
21.1 | 66 | 2.05 | 215 | ||||||||||||||||||||||
17.5 | 70 | 2.9 | 96 | 4) (1 point) Key question #1: List all X variable(s) that are significant for the regression analysis. | |||||||||||||||||||||
13.9 | 19 | 1.4 | 202 | (i.e. based on the regression output), which variable(s) have slope coefficients that we are confident in declaring to be non-zero?) | |||||||||||||||||||||
14.8 | 44 | 1.7 | 99 | ||||||||||||||||||||||
11.2 | 37 | 1.79 | 93 | ||||||||||||||||||||||
13 | 52 | 1.66 | 233 | ||||||||||||||||||||||
13.9 | 53 | 1.7 | 188 | ||||||||||||||||||||||
18.4 | 62 | 1.3 | 62 | ||||||||||||||||||||||
19.3 | 67 | 2.09 | 185 | 5) (1 point) Key question #3: Do the residuals appear to be independent of the Income variable? Choose the correct answer yes or no and provide a brief justification. | |||||||||||||||||||||
18.4 | 68 | 2.15 | 195 | (Note: This question is only asking about the Income variable.) | |||||||||||||||||||||
15.7 | 50 | 2.25 | 160 | ||||||||||||||||||||||
8.5 | 52 | 2.29 | 200 | YES | NO | ||||||||||||||||||||
Justification: | |||||||||||||||||||||||||
6) (1 point) Key question #5: Using the rule of thumb outlined in the module videos, is the standard error of the residuals (S_XY) relatively small? | |||||||||||||||||||||||||
Choose the correct answer yes or no and provide a brief justification. | |||||||||||||||||||||||||
YES | NO | ||||||||||||||||||||||||
Justification: |
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