The school decides to collect data on 12 students' lecture attendance over a 13-week session. She believes that attendance is related to the distance a student has to travel to campus and how many weeks student access the video recording on the lecture attendance. Thus, she decides to run a regression using the data presented as follows: attendance distance video 12 5 4 4 35 6 2 45 8 6 12 7 5 23 7 13 2 5 8 12 4 7 25 5 3 40 7 2 25 9 9 21 4 8 8 5 1. The coefficient estimate for distance is? The coefficient estimate for video is? 2. The lower bound of a 99% confidence interval of the coefficient estimate of video is? 3. Consider a null hypothesis that the coefficient estimate of distance is -0.2. The t-statistic of the test is? The p-value of the test is? You should accept/reject the null hypotheses?