A multiple regression model is to be constructed to predict the final exam score of a university student doing a particular course based upon their mid-term exam score, the average number of hours spent studying per week and the average number of hours spent watching television per week.

Data has been collected on 30 randomly selected individuals:

Point,Final score,Mid-term,Hours studying,Hours watching TV

1,58,61,5,25

2,87,90,19,24

3,93,93,19,35

4,78,74,9,17

5,83,64,17,8

6,26,22,2,15

7,61,54,19,34

8,79,61,13,32

9,95,85,17,24

10,86,75,11,27

11,65,64,3,30

12,72,58,14,20

13,60,37,14,29

14,70,54,19,13

15,29,22,13,22

16,80,72,3,22

17,91,81,20,16

18,62,58,10,10

19,84,70,12,13

20,37,36,5,8

21,65,59,9,31

22,69,61,11,9

23,66,54,11,29

24,35,32,9,22

25,30,24,10,30

26,78,72,12,22

27,45,32,16,27

28,30,34,3,7

29,78,72,2,6

30,40,34,7,31

a) Find the multiple regression equation using all three explanatory variables. Assume that x1 is mid-term score, x2 'is hours studying per week and x3 is hours watching television per week. Give your answers to 3 decimal places. y = + mid-term score + hours studying + hours watching television b) At a evel of significance of 0.05, the result of the F test for this model is that the null hypothesis rejected. c) The explanatory variable that is most correlated with nal score is: O mid-term score 0 hours studying per week 0 hours watching television per week d) The explanatory variable that is least correlated with nal score is: O mid-term score 0 hours studying per week 0 hours watching television per week a) The value of R2 for this model, to 3 decimal places, is equal to f) The value of s for this model, to 3 decimal places, is equal to 9) Construct a new multiple regression model by removing the variable average hours spent watching television per week. Give your answers to 3 decimal places. The new regression model equation is: 9 = + mid-term score + hours studying h) In the new model compared to the previous one, the value of R2 (to 3 decimal places) is: 0 increased 0 decreased 0 unchanged i) In the new model compared to the previous one, the value of s (to 3 decimal places) is: 0 increased 0 decreased 0 unchanged