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34. Mark knows that in many courses, there is a strong linear relationship betwe

ID: 3318538 • Letter: 3

Question

34. Mark knows that in many courses, there is a strong linear relationship between the amounts of time spent studying (in hours) and test score (out of 10o). He collected data from some classes and obtained the following summary statistics. Correlation coefficient 0.7083 Average of the amounts of time spent studying 4.4 Average test score = 69.67 Standard deviation of the amounts of time spent studying 2.32 Standard deviation of test scores = 18.04 What is the slope of the least squares regression line to predict the test score from the amount of time studied? a. 11.22 b. 5.51 c. 2.74 d. 0.09 e. None are correct.

Explanation / Answer

HERE AS WE know that slope of regression line b1 =r*Sy/Sx =0.7083*18.04/2.32 =5.51

hence option b is correct

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