Annual Amount Spent on Organic Food = ? +b1Age + b2AnnualIncome
+ b3Number of People in Household +b4Gender
After you have reviewed the results from the estimation, write areport to your boss that interprets the results that you obtained.Please include the following in your report:
- The regression output you generated in Excel.
- Your interpretation of the coefficient of determination(r-squared).
- Your interpretation of the global test for statisticalsignificance (the F-test).
- Your interpretation of the coefficient estimates for all theindependent variables.
- Your interpretation of the statistical significance of thecoefficient estimates for all the independent variables.
- The regression equation with estimates substituted into theequation. (Note: Once the estimates are substituted into theregression equation, it should take a form similar to this: y = 10+2x1 +1x2 +4x3+0.9x4)
- An estimate of “Annual Amount Spent on Organic Food” for theaverage consumer. (Note: You will need to substitute the averagesfor all the independent variables into the regression equation forx, the intercept for ?, and solve for y.)
- A discussion of whether or not the coefficient estimate on theAge variable in this estimation is different than it was in thesimple linear regression model from Module 3 Case. Be sure toexplain why it did/did not change.
- You decide you want to generate an elasticity coefficient, soyou log the following variables in Excel: Annual Amount Spent onOrganic Food, Annual Income.
- Using Excel, generate regression estimates for the followingmodel:
Log(Annual Amount Spent on Organic Food) = ?+b1Age + b2Log(AnnualIncome)
+ b3Number of People in Household +b4Gender
- Your interpretation of the coefficient estimate forLog(AnnualIncome).
- Your interpretation of the coefficient of determination(r-squared) for this new model.
Annual Amount Spent on Organic Food | Age | Annual Income | Number of People in Household | Gender (0 = Male; 1 = Female) |
7348 | 77 | 109688 | 3 | 1 |
11598 | 47 | 109981 | 5 | 1 |
9224 | 23 | 112139 | 4 | 1 |
12991 | 38 | 113420 | 5 | 1 |
16556 | 58 | 114101 | 5 | 0 |
11515 | 44 | 115100 | 5 | 0 |
10469 | 34 | 116330 | 5 | 0 |
17933 | 75 | 116339 | 6 | 0 |
18173 | 32 | 117907 | 7 | 0 |
12305 | 39 | 119071 | 5 | 1 |
9080 | 65 | 58603 | 5 | 1 |
9113 | 48 | 58623 | 4 | 1 |
6185 | 48 | 61579 | 2 | 1 |
6470 | 49 | 62180 | 2 | 0 |
6000 | 57 | 62202 | 5 | 1 |