(b)A random sample of twelve students were chosen, and their midterm test score (  y),  assignment score (x1), and missed classes (x2) were recorded as follows: Midterm Score, y Assignment Score, x1 Classes Missed, x2 85 65 1 + Ω 74 50 7 76 55 5 90 65 2 85 55 6 87 70 3 94 65 2 98 70 5 81 55 4 91 70 3 76 50 1 74 55 4     (i)What is the fitted multiple linear regression equation of the form ˆy = b0 + b1x1 + b2x2?  (ii)From part 6(b)(i) above, estimate the midterm test score grade for a student who has an assignment score of 60 and missed 4 classes.    (iii)Assume that the data on ( y, x1, x2) above in 6(b) is inputted into SPSS, with the following results:                                                                                                                                            ANOVA         Source SS df MS F Regression a c f g Residual b d 20.406   Total 728.250 e           Coefficients Standard error Intercept 27.547 12.498 Assignment Score 0.922 0.186 Missed Classes 0.284 0.754     A. At a 5% level of significance, test whether the individual variables, assignment score (x1) and missed classes (x2) are significant explanatory variables for the midterm test score. B. Find the constants a,b,c,d,e,f, and g in the ANOVA table C. Test the overall significance of the multiple linear regression model/equation in (I) at a 1% level of significance.

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(b)A random sample of twelve students were chosen, and their midterm test score (  y),  assignment score (x1), and missed classes (x2) were recorded as follows:

Midterm

Score, y

Assignment

Score, x1

Classes

Missed, x2

85

65

1 + Ω

74

50

7

76

55

5

90

65

2

85

55

6

87

70

3

94

65

2

98

70

5

81

55

4

91

70

3

76

50

1

74

55

4

 

 

(i)What is the fitted multiple linear regression equation of the form ˆy = b0 + b1x1 + b2x2

(ii)From part 6(b)(i) above, estimate the midterm test score grade for a student who has an assignment score of 60 and missed 4 classes.   

(iii)Assume that the data on ( y, x1, x2) above in 6(b) is inputted into SPSS, with the following results:                                                                                                                                         

 

ANOVA

 

 

 

 

Source

SS

df

MS

F

Regression

a

c

f

g

Residual

b

d

20.406

 

Total

728.250

e

 

 

 

 

 

Coefficients

Standard error

Intercept

27.547

12.498

Assignment Score

0.922

0.186

Missed Classes

0.284

0.754

 

 

A. At a 5% level of significance, test whether the individual variables, assignment score (x1) and missed classes (x2) are significant explanatory variables for the midterm test score.

B. Find the constants a,b,c,d,e,f, and g in the ANOVA table

C. Test the overall significance of the multiple linear regression model/equation in (I) at a 1% level of significance.

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