1. Question 1: The Public Utility Commission is interested in describing the relationship between household monthly utility bills and the size of the house. A recent study of 30 randomly selected household resulted in the following regression results: SUMMARY OUTPUT Regression Statistics Multiple R R Square Adjusted R Square Standard Error Observations 0.149769088 0.02243078 -0.012482407 16.72762259 30 ANOVA df SS MS 179.7725274 179.7725 0.642473 7834.774007 279.8134 1 Regression Residual Total 28 29 8014.546534 Standard Eror 13.44691911 4.941135 3.26E-05 0.006560753 0.801544 0.429567 Coefficients t Stat P-value Intercept Square Feet 66.44304169 0.005258733 (a) Based on the information provided, indicate what, if any, conclusions can be reached about the relationship between utility bill and the size of the house in square feet. (b) Construct a 95% confidence interval for the true regression coefficient of Square Feet. How do you interpret this confidence interval? (c) What is the F-test? In view of the F-test reported in this table, is the model significant? Please give a reason.

Dex Research Limited conducted a research to investigate consumer characteristics that can be used to predict the amount charged by credit card users. The following multiple regression output is based on a data collected by this research company on annual income, household size and annual credit card charges for a sample if 50 consumers. Regression Statistics         Multiple R 0.9086         R Square A         Adjusted R Square 0.8181         Standard Error 398.091         Observations B                     ANOVA             df SS MS F Significance F Regression 2 C E G 1.50876E-18 Residual D 7448393 F     Total 49 42699149                                 Coefficients Standard Error t Stat P-Value   Intercept 1304.9048 197.6548 6.6019 3.28664E-08   Income ($1000s) 33.1330 3.9679 H 7.68206E-11   Household size 356.2959 33.2009 10.7315 3.12342E-14   a. Complete the missing entries from A to H in this outputb. Estimate the annual credit card charges…

A multiple regression analysis produced the following tables. Predictor Coefficients StandardErrort Statistic p-valueIntercept -139.609 2548.989 -0.05477 0.957154x 24.24619 22.25267 1.089586 0.295682x 32.10171 17.44559 1.840105 0.08869Source df SS MS F p-valueRegression 2 302689 151344.5 1.705942 0.219838Residual 13 1153309 88716.07Total 15 1455998Using = 0.01 to test the null hypothesis H :?1 = ?2 = 0, the critical F value is ____.6.701.964.845.995.70

A study was conducted to examine how fear of public speaking varies across year of tertiary education (1st, 2nd or 3rd). Subjects were interviewed at the end of each of year of their tertiary education for fear of public speaking (measured on a 10 point metric scale). Which of the following would be an appropriate statistical test to conduct, which addresses these hypotheses?   Group of answer choices: Factorial ANOVA Mixed ANOVA Multiple Regression Within Subjects ANOVA Single Factor ANOVA