Hello. Plz Answer All These Questions Correctly. Thank you!

This is all the from the assignment, all the required information is from the charts.

31 Show the hypothesis test that answers the following question: is there a statistically signicant relationship between age and sales? Same guidelines as #1. If a relationship is conm'ied, is it positive or negative? :8 poin'is] 4: Which of the x variables have statistically signicant relationships with sales, at an ct = 0.05 significance level? which of the x variablg do not have statistically signicant relationships with sales? {7 points} SJ What, if anything, should be done to improve this model? {4 points] 1] Show the hypothesis test that answers the following question: is the overall regression model statistically signicant? Write out the hypotheses. You do not need to do any math here you can just report the test statistic and the pvalue from the output. You can show the pvalue 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 distance and sales per visit? Same guidelines as #1. If a relationship is confirmed, is it positive or negative? {8 points} Consider a regression model predicting the Sales per visit in dollars for customers Visiting a store using the customer's number of children at home, the distance they live from the store in miles, number of visits to the store per week, age in years, and their salary in thousands. Here is the regression output, estimated on a random sample of customers. SUMMARY OUTPUT Regression Statistics DU: Sales per visit Multiple R (19001 R Square 0.8102 Adjusted R Square 0.2826 Standard Error 13519 Observations 48 ANOVA Significance df SS MS F F Regression 5 9688.504 1932.201 35.8504 4.1E-14 Residual 42 2220.085 54.0492 Total 42 11958.589 Standard Upper Coefficients Error tStat Pyalue Lower 95% 95% Intercept 14.392 5.3621 2.6815 0.0104 3.5608 25.2232 Children at home 0.0598 0.0632 0.9388 0.3532 -0.0688 0.1883 Distance 2.902 0.263 10.363 3.83E-13 6.3621 9.4469 Visits per week -3.2623 0.2121 -5.2535 4.66E-06 -5.2144 -2.3201 Age 0.0444 0.0953 0.4659 0.6432 -0.1429 0.2368 Salary 6.1089 0.8302 2.3539 4.55E-09 4.4326 2.2853