A course instructor would like to compare the Statistics test performance of students coming from two different study programmes. Apart from the final Statistics test scores, the course instructor has also collected the English test scores, and non-verbal IQ test scores from the 90 students in the class and plan to conduct the following hierarchical regression analysis:

Block	Variables	Remarks
1	Non-verbal IQ (X1)	Higher scores, higher IQ
2	English Test Scores (X2)	Higher scores, better English skills
3	Programme (X3)	0 = BA programme; 1 = BSocSc Programme
4	X3xX1	Interaction term between programme and IQ
	X3xX2	Interaction term between programme and English Test Scores

Dependent variable: Statistics Test Scores (Y; Higher scores, better statistical skills)

Assume you were the teaching assistant of the instructor, run the hierarchical regression analysis

above with the dataset hw2-q3-2021.sav and help the instructor to answer the following questions.

a. Did programme moderate the relationship between non-verbal IQ and Statistics test scores, and the relationship between English test scores and statistics test scores? (3 points)

b. Which model will you choose as the final model? Explain and support your answers by reporting the appropriate statistical test result. (4 points).

Based on the final model that you have chosen in part (b), answer part (c) and part (d)

c. Compare non-verbal IQ with programme, which predictor is relatively more important to predict the Statistics test scores of the students? Explain and support your answers with appropriate statistical evidence (2 points).

d. Comment on the difference in Statistics test performance between BA and BSocSc students after controlling for non-verbal IQ and English test scores. (3 points).

ID eng stat iq prog 2 57.00 59.00 99.00 0 8 53.00 49.00 92.00 0 9 58.00 77.00 106.00 0 14 68.00 75.00 105.00 0 31 69.00 63.00 104.00 0 32 54.00 52.00 97.00 0 34 66.00 84.00 104.00 0 38 53.00 47.00 90.00 0 47 32.00 40.00 89.00 0 56 76.00 48.00 104.00 0 57 67.00 42.00 96.00 0 59 60.00 51.00 100.00 0 60 78.00 85.00 103.00 0 61 50.00 44.00 95.00 0 65 49.00 37.00 94.00 0 67 47.00 48.00 98.00 0 68 50.00 61.00 100.00 0 69 36.00 56.00 97.00 0 72 62.00 50.00 102.00 0 73 48.00 78.00 105.00 0 79 69.00 65.00 99.00 0 85 52.00 50.00 97.00 0 90 46.00 42.00 91.00 0 98 62.00 66.00 100.00 0 101 41.00 75.00 96.00 0 102 26.00 62.00 87.00 0 103 62.00 59.00 100.00 0 131 53.00 50.00 91.00 0 132 54.00 46.00 93.00 0 138 72.00 56.00 95.00 0 145 65.00 45.00 95.00 0 155 76.00 72.00 102.00 0 171 84.00 87.00 105.00 0 175 81.00 74.00 104.00 0 180 70.00 77.00 106.00 0 181 60.00 56.00 97.00 0 196 83.00 67.00 100.00 0 1 68.00 53.00 96.00 1 4 55.00 69.00 103.00 1 5 57.00 73.00 102.00 1 7 68.00 79.00 106.00 1 10 54.00 73.00 103.00 1 11 45.00 60.00 96.00 1 12 59.00 74.00 101.00 1 18 66.00 80.00 103.00 1 20 70.00 63.00 101.00 1 21 72.00 91.00 105.00 1 23 57.00 67.00 96.00 1 27 76.00 70.00 97.00 1 28 48.00 66.00 98.00 1 29 65.00 66.00 96.00 1 33 70.00 90.00 100.00 1 39 71.00 72.00 102.00 1 43 68.00 82.00 98.00 1 50 63.00 78.00 101.00 1 53 60.00 91.00 97.00 1 70 63.00 66.00 96.00 1 74 58.00 70.00 96.00 1 81 66.00 70.00 105.00 1 84 77.00 68.00 103.00 1 88 65.00 72.00 97.00 1 97 53.00 61.00 94.00 1 115 78.00 84.00 103.00 1 116 75.00 84.00 100.00 1 117 65.00 57.00 99.00 1 118 64.00 96.00 104.00 1 123 66.00 66.00 100.00 1 124 73.00 75.00 105.00 1 126 74.00 63.00 102.00 1 135 84.00 77.00 103.00 1 140 55.00 70.00 97.00 1 141 73.00 54.00 96.00 1 146 83.00 82.00 97.00 1 150 67.00 66.00 101.00 1 152 66.00 78.00 105.00 1 153 71.00 78.00 98.00 1 156 87.00 67.00 99.00 1 159 61.00 82.00 97.00 1 161 62.00 63.00 102.00 1 162 63.00 56.00 96.00 1 168 50.00 68.00 96.00 1 169 50.00 89.00 95.00 1 174 48.00 61.00 99.00 1 178 61.00 75.00 99.00 1 182 51.00 59.00 96.00 1 183 76.00 87.00 109.00 1 189 61.00 73.00 97.00 1 194 69.00 62.00 96.00 1 199 74.00 74.00 97.00 1 200 65.00 94.00 101.00 1