Question

Predict a student’s GPA (y) based upon the number of hours studied per week (x).

Hours/week	GPA
5	2.5
10	3.1
12	3.3
20	3.8
15	3.7
12	3.5

If you used the least-squares regression line to predict the GPA of a student who studied 40 hours per week that would be:

a) residual

b) interpolation

c) extrapolation

d) r²

Answer 1

extrapolation (C)

[ explanation:-

here, we will extrapolate , because the value 40 hours, is outside the data set .here,the largest number of hours was 20, but the extrapolation tried to jump to 40 hour.

the regression equation is :-

GPA = 2.218 +0.0891 x

the predicted GPA score for a student who studied 40 hours per week would be:-

= 2.218 + (0.0891*40) = 5.782 ...which is supposed to be overestimated.

the option interpolation is not true:-

because interpolation is used when the value is within the data set.but, here the value 40 is outside the data range. ]

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