Answer the three questions using this info!

In a recent college statistics class, data was collected on each student's height and their shoe size. The first three tables of the regression output are below the conclusions. Please agree or disagree with the conclusions and, of course, state your statistical reasoning. 1. There is insufficient evidence to believe a statistically significant relationship exists between a student's height and his/her shoe size. 2. There is a strong, positive correlation between shoe size and height. 3. For each change in height of 15 inches, the student's shoe size changes by 1. Regression Statistics R 0.80638 R-Squared 0.65025 Adjusted R-Squared 0.63897 S 1.19 Sample Size 33 Regression equation: shoe size = - 15.08781 + (0.35978 * Height) ANOVA Char di. SS MS F p-value Regression 1 81 61618 81 61618 57.63463 Residual 31. 43.89898 1.4161 Total 32 125.51515 Coefficient Standard Error LCL UCL t Stat p-value Intercept -15.08781 3.19558 -21.60524 -8.57038 -4.72146 0.00005 Height 0.35978 0.04739 0.26313 0.45644 7.59175 0 Terit (5%) 2.03951