Carla has kept track of the hours she spent studying and her marks on examinations. The

following table shows the results:[11 marks]

Subject

Hours Studies (x)

Mark (y)

xy

x²

y²

Mathematics, Grade 9

5

70

English, Grade 9

3

65

Science, Grade 9

4

68

Geography, Grade 9

4

72

French, Grade 9

2

38

Mathematics, Grade 10

7

74

English, Grade 10

5

69

Science, Grade 10

6

71

History, Grade 10

5

75

Mathematics, Grade 11

12

76

English, Grade 11

9

74

Physics, Grade 11

14

78

TOTAL

Note: Use 4 decimals where applicable.You must use technology (Excel or Fathom).

a.Determine the dependent variable. (1 mark)

b.Obtain the regression equation. (3 marks)

c.Interpret the meaning of the regression coefficients a and b. (2 marks)

d.Predict her mark for a subject in which she studied 8 hours for the exam. (1 mark)

e.Compute the coefficient of determination. (3 marks)

f.Compute the correlation coefficient. (1 mark)