3.5 (2 pts). Test the significance of the slope of relative humidity. State HO and HA and write your conclusion using the table below: 95% CI (Intercept) 51.9479453 83.2952947 IceCreamStemp 0.6165560 1.1391212 IceCreamSrelhumid 0.1743992 0.61956663. (10 pts) Suppose you are making extra money one summer by selling ice cream and notice that a relation exists between the daily highest temperature and the number of ice cream sold that day. Now, we want to construct a regression equation with both temperature and relative humidity as predictor variables and ice cream sales as the outcome variable. 3.1 (2 pts) We obtained correlations related to our regression analysis to see whether both predictor variables relate strongly to the outcome variable or not. Below is the R output: Pearson's product-moment correlation Pearson's product-moment correlation data: IceCreamSbarsold data: IceCream$barsold and IceCreamStemp and IceCream$relhumid * = 10.149 di = 28 p-value = 6.939e-II t = 6.5577 di = 28 p-value = 4.137e-07 alternative hypothesis: true correlation is not equal to 0 alternative hypothesis: true correlation is not equal to O 95 percent confidence interval: 0.7735616 0.9450732 95 percent confidence interval: 0.5808154 0.8891983 sample estimates: cor 0.8867125 sample estimates: co 0.7782383 Are the relationships between the outcome variable and the two predictor variables statistically significant? Provide the numerical evidence. 3.2 (1 pt) Below are the regression results. What's our n of this study (days the data collected)? Call: Im(formula = IceCream$barsold - IceCream$temp + IceCream$relhumid) Residuals Min IQ Median 3Q Max -6.8747 -2.5406 -0.0847 2.6691 10.9952 Coefficients: Estimate Std. Error t-value Pr(> It) (Intercept) 67.6216 7.6389 8.852 1.81e-09 Call: IceCreamStemp 0.8778 0.1273 6.894 2.09e-07 IceCream$relhumid 0.3970 0.1085 3.659 0.00108 Signif. codes: 0.001 #* 0.01 " 0.05 "." 0.1 * * 1 Residual standard error: 4.664 on 27 degrees of freedom Multiple R-squared:0.8571, Adjusted R-squared:0.8465 F-statistic: 80.99 on 2 and 27 di, p-value: 3.908e-12 3.3 (3 pts) Explain how you check the assumptions for linearity, equal variance, and normality of this multiple regression. 3.4 (2 pts). Is this model predicting the ice cream sales significant