Practice: Show all steps 1. The following regression equation was obtained using

Question

Practice: Show all steps 1. The following regression equation was obtained using the five independent variables. The regression equation is sales-19.7-0.00063 outlets + 1.74 cars+0.410 income + 2.04 age 0.034 bosses Predictor Constant outlets cars income age bosses Coef SE Coef 5.422 -0.000629 0.002638 0.5530 0.04385 0.8779 0.1880 -3.63 0.022 -0.24 0.823 3.15 0.035 9.35 0.001 2.32 0.081 -0.18 0.864 -19.672 1.7399 0.40994 2.0357 -0.0344 -98.7% s 1.507 Analysis of Variance R-Sq 99.4% R-Sq (adj) - MS 318.76 2.27 DE Source Regression Residual Error Total 5 1593.81 9.08 1602.89 140.36 0.000 (Minitab Software) Question Answer a) What is sample size? b) Write the estimated regression equation c) What's the sample regression coefficients of bo d) What's the sample regression coefficients of b e) What's the value of the estimated variance of the regression 1 What's the value of the standard error of the regression g) What's the value of the estimated variance of the b b) Whar's the value ofthetandard eror of the b i) Is the result significant when using F statistic to test the significant of the relationship at a 0.05 level of significance

Explanation / Answer

a. Based on ANOVA table total of is 9 so sample size is 9+1=10

b. Sales=-19.7-0.00063*outlets+1.74*cars+0.410*income+2.04*age-0.034*bosses

c. Based on above equation b0=intercept=-19.7

d. Based on equation in b, b2=1.74

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