Show solution

2. Refer to the following output for a simple linear regression model: Summary Output Regression Statistics Anova Multiple R 0.1027 df SS MS F Significance F R-Square 0.0105 Regression 1 76.124 76.12 0.778 0.3806 Adjusted R-Square -0.0030 Residual 73 7141.582 97.83 Standard Error 9.8909 Total 74 7217.706 Observations 75 Coefficents Standard Error t-Statistic p-value Lower 95% Upper 95% Intercept 4.0133 3.878 1.035 0.3041 -3.715 11.742 0.0943 0.107 0.882 0.3806 -0.119 0.307 a. Referring to the displayed regression model, what percent of variation in the y variable is explained by the x variable in the model? (3 pts) b. State the appropriate null and alternative hypotheses. (3 pts) c. Conduct the appropriate test of the null hypothesis. Use a 0.05 level of significance. (4pts) d. Interpretation (6 pts)