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:

lecture. 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 reject/accept the null hypothesis?