Annual Amount Spent on Organic Food = ? + b1Age + b2AnnualIncome + b3Number of People in...

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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:

  1. The regression output you generated in Excel.
  2. Your interpretation of the coefficient of determination(r-squared).
  3. Your interpretation of the global test for statisticalsignificance (the F-test).
  4. Your interpretation of the coefficient estimates for all theindependent variables.
  5. Your interpretation of the statistical significance of thecoefficient estimates for all the independent variables.
  6. 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)
  7. 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.)
  8. 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.
  9. You decide you want to generate an elasticity coefficient, soyou log the following variables in Excel: Annual Amount Spent onOrganic Food, Annual Income.
  10. Using Excel, generate regression estimates for the followingmodel:

Log(Annual Amount Spent on Organic Food) = ?+b1Age + b2Log(AnnualIncome)
+ b3Number of People in Household +b4Gender

  1. Your interpretation of the coefficient estimate forLog(AnnualIncome).
  2. Your interpretation of the coefficient of determination(r-squared) for this new model.
Annual Amount Spent on Organic FoodAgeAnnual IncomeNumber of People in HouseholdGender (0 = Male; 1 = Female)
73487710968831
115984710998151
92242311213941
129913811342051
165565811410150
115154411510050
104693411633050
179337511633960
181733211790770
123053911907151
9080655860351
9113485862341
6185486157921
6470496218020
6000576220251

Answer & Explanation Solved by verified expert
4.4 Ratings (766 Votes)
Regression output SUMMARY OUTPUT Regression Statistics Multiple R 088600362 R Square 0785002414 Adjusted R Square 0699003379 Standard Error 2220834832 Observations 15 ANOVA df SS MS F Significance F Regression 4 1800818438 45020461 9128038    See Answer
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