4. Suppose we collected the number of hours spending in social media (X) and the number of sleeping hours (Y) per day for 37 college students at DePaul: Using the regression output, calculate/find following statistics. (1) point each) Source SS df Model 140 Residual | Total | 320 36 Y X cons Coef. Std. Err -1.22 8.2 .5 3.8 1) Variance of the residual (&) 2) Variance of B 3) Sample Variance of Y 4) t-statistic for , under the null hypothesis of zero. 5) If you have a friend who spends 3 hours on social media and sleeps 7 hours daily. According to the regression model, what is the predicted number of hours to sleep? What is the error(residual) for that case? 6) Suppose the p-value for the t-statistics of bl was 0.045 from the regression output. Then, show the hypothesis and perform the tests at 5% and 1% significant levels.