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## Statistics

Hypothesis Test for Slope of Regression Line

The district manager of Jasons, a large discount electronics chain, is investigating why certain stores in her region are performing better than others. She believes that three factors are linked to total sales: the number of competitors in the region, population in the surrounding area, and the amount spent on advertising. From her district, consisting of some hundred stores, she selects a random sample of 30 stores. For each store she gathered the following information.

 Y = total sales last year (in \$ thousands). X1 = number of competitors in the region. X2 = population of the region (in millions). X3 = advertising expense (in \$ thousands).

The sample data were run on MINITAB, with the following results.

 Analysis of variance SOURCE DF SS MS Regression 3 3050.00 1016.67 Error 26 2200.00 84.62 Total 29 5250.00 Â Predictor Coef StDev t-ratio Constant 14.00 7.00 2.00 X 1 -1.00 0.70 -1.43 X 2 30.00 5.20 5.77 X 3 0.20 0.08

a)      Perform a global test of hypothesis to determine whether any of regression coefficients are not equal to zero. Use the .05 level of significance.

b)     Conduct tests of hypotheses to conclude which of the independent variables have significant regression coefficients. Which variables would you consider eliminating? Use the .05 significance level.

Statistics and Probability, Statistics

• Category:- Statistics and Probability
• Reference No.:- M918084

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