3) Show the hypothesis test that answers the following question: is there a statistically significant relationship between children at home and sales? Same guidelines as #1. If a relationship is confirmed, is it positive or negative? (8 points) 4) Which of the x variables have statistically significant relationships with sales, at an a = 0.05 significance level? Which of the x variables do not have statistically significant relationships with sales? (7 points) 5) What, if anything, should be done to improve this model? (4 points)Regression Statistics Multiple R 0.9969 R Square 0.9939 Adjusted R Square 0.9935 Standard Error 7.0156 Observations 80 ANOVA Significance df SS MS F F Regression 5 592512.019 118502.4 2407.685 0.000 Residual 74 3642.159 49.2184 Total 79 596154.2 Standard Upper Coefficients Error t Stat P-value Lower 95% 95% Intercept 21.7781 4.7234 4.6107 1.64E-05 12.3665 31.1897 visits per week -0.4301 0.4791 -0.8977 0.3723 -1.3847 0.5245 distance -0.0119 0.599 -0.0199 0.9842 -1.2055 1.1817 age 1.0159 0.0401 25.3342 3.33E-38 0.936 1.0958 salary 7.6405 0.0739 103.3897 0.000 7.4933 7.7877 children at home -0.9836 0.5715 -1.7211 0.0894 -2.1224 0.15511) Show the hypothesis test that answers the following question: is the overall regression model statistically significant? Write out the hypotheses. You do not need to do any math here - you can just report the test statistic and the p-value from the output. You can show the p-value approach only. Be sure to interpret the test to answer the question. Use an alpha = 0.05 significance level for all hypothesis tests. (8 points) 2) Show the hypothesis test that answers the following question: is there a statistically significant relationship between age and sales per visit? Same guidelines as #1. If a relationship is confirmed, is it positive or negative? (8 points)