Data on grade point average and IQ were obtained for 12 high school students. Grade Point Average IQ Grade Poiñt Averuge 2.1 116 2.9 126 2.2 129 2.7 122 3.1 123 2.1 114 121 109 2.3 131 3.3 132 3.4 134 3.5 140 2.9 a. Use regression analysis to estimate the effect of IQ on grade point average. Write the equation, t-statistics, and the coefficient of determination. Is the re- sult consistent with your prior expectations? Explain. b. Forecast the grade point average for a student with an IQ of-120 and for a student with an IQ of 150. Which forecast do-you have more confidence

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4-15. Data on grade point`average and IQ were obtained for 12 high school students.
Grade Point Average
IQ
Grade Point Averuge
116
2.9
126
2.1
2.2
129
2.7
122
3.1
123
2.1
114
121
í.7
109
2.3
131
3.3
132
3.4
134
3.5
140
2.9
a. Use regression analysis to estimate the effect of IQ on grade point average.
Write the equation, 1-statistics, and the coefficient of determination. Is the re-
sult consistent with your prior expectations? Explain.
b. Forecast the grade point average for a student with an IQ of-120 and for
a student with an IQ of 150. Which forecast do•you have more confidence
in? Why?
Transcribed Image Text:4-15. Data on grade point`average and IQ were obtained for 12 high school students. Grade Point Average IQ Grade Point Averuge 116 2.9 126 2.1 2.2 129 2.7 122 3.1 123 2.1 114 121 í.7 109 2.3 131 3.3 132 3.4 134 3.5 140 2.9 a. Use regression analysis to estimate the effect of IQ on grade point average. Write the equation, 1-statistics, and the coefficient of determination. Is the re- sult consistent with your prior expectations? Explain. b. Forecast the grade point average for a student with an IQ of-120 and for a student with an IQ of 150. Which forecast do•you have more confidence in? Why?
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