You are given data from a Student Self-efficacy Survey which includes composite variables of Math Self-efficacy and Student Class Effort. Using this dataset:

a.Conduct a regression analysis to predict Math Self-efficacy (Y) from Student Class Effort (X) and show the regression output table. (2 points)

b.Interpret the results, address the multiple correlation coefficient (R), coefficient of determination (R-squared), and the significance level (p-value). (3 points)

Information

GENDER SES MATH SELF-EFFICACY CLASS EFFORT

Male -0.66 -0.90 -1.27

Male -0.53 -1.08 -1.34

Male 1.16 0.36 -0.46

Female -0.50 -0.63 -0.92

Male -0.97 1.77 1.70

Female -0.84 1.29 0.69

Female -0.82 -0.87 0.33

Female -0.09 -0.13 1.45

Female 0.21 0.76 0.33

Female 0.65 1.77 0.24

Male -0.19 0.82 -1.34

Male 0.18 0.25 -0.59

Female -0.70 -0.63 -1.05

Female -0.60 0.10 0.03

Female -0.54 -1.57 -1.05

Male -0.33 1.77 -2.20

Male 0.41 -0.63 -1.05

Female -0.24 -1.57 -0.83

Male -1.19 -0.93 -2.42

Male -1.01 1.77 0.33

Male -0.54 1.77 1.18

Male -0.40 0.36 -0.35

Male -0.31 -0.63 -1.05

Male -0.23 -0.63 0.33

Male -0.19 -0.12 -0.19

Male -0.08 1.02 0.62

Male -0.06 -0.61 -0.50

Male -0.03 -1.36 -0.52

Male 0.08 -0.63 -1.05

Male 0.18 1.52 1.41

Male 0.64 0.85 0.89

Male 0.72 -0.37 -0.76

Male 0.81 -0.17 -0.50

Male 0.99 -1.83 -2.42

Male 1.38 0.13 1.11

Male 1.40 1.02 -0.29

Male 1.64 0.57 0.33

Female -0.64 -0.63 0.80

Female -0.54 1.53 -1.34

Female -0.52 -0.43 0.55

Female -0.36 0.13 0.33

Female -0.33 -0.63 -0.26

Female -0.22 1.05 -0.95

Female -0.14 1.77 0.85

Female 0.04 0.13 -0.54

Female 0.10 1.30 1.41

Female 0.78 0.12 1.70

Female 1.16 0.82 1.16

Female 1.22 -0.63 0.03

Male 1.38 0.13 1.11