1. Below are descriptive statistics for three continuous variables-Y, X₁, and X2-as well as the correlations between them. These variables were measured for a random sample of 910 people. X₁ X₁ 1.00 0.43 1.00 Y -0.01 -0.39 Y Mean Variance 12 4 18 7.5 1.00 14 8.6 (a) Report the prediction equation for the regression of Y on X₁ and X2. Show your work. [9 Points] (b) Interpret the values of a, b₁, and b₂ [9 Points] (c) Compute and interpret the value of R² Show your work. [9 Points] (d) Test the hypothesis that p² equals zero. Use a=0.01. Show your work. [9 Points] (e) Test the hypothesis that ẞ₁ equals zero. Use a=0.01. Show your work. [9 Points] (f) Test the hypothesis that ẞ2 equals zero. Use a=0.01. Show your work. [9 Points]