What is the joint distribution of (x, y)? Verify that the conditional distribution of Fit the simple regression of y on x. Verify that the estimates of the intercept, slope, variance, and R2 agree...

What is the joint distribution of (x, y)? Verify that the conditional distribution of

Fit the simple regression of y on x. Verify that the estimates of the intercept, slope, variance, and R2 agree with the theoretical values to at least two decimal places.

Test the hypothesis that the slope is equal to 2 against a two-sided alternative and obtain the significance level. What is the probability of rejecting this hypothesis?