Question

A regression was run to determine if there is a relationship between hours of study per week (x) and the final exam scores (y). The results of the regression were: y=ax+b, a=5.292, b=32.97, r2=0.515524, r=0.718. Use this to predict the final exam score of a student who studies 6.5 hours per week, and please round your answer to a whole number.

a) 70
b) 75
c) 80
d) 85

Answer 1

The predicted final exam score for a student who studies 6.5 hours per week is 70.

Step-by-step explanation:

To predict the final exam score of a student who studies 6.5 hours per week using the regression equation, we substitute the value of x into the equation: ŷ = ax + b. Given a = 5.292 and b = 32.97, we have ŷ = 5.292(6.5) + 32.97 = 70.18. Rounding this to the nearest whole number, we obtain a predicted final exam score of 70.