Question: 1. Your university develops a regression equation for predicting college GPA from high school GPA. Specifically: = 1 + 0.5X. For a student with a
1.
Your university develops a regression equation for predicting college GPA from high school GPA. Specifically:= 1 + 0.5X.For a student with a high school GPA of 3.0, what is the predicted college GPA?
4.0
2.5
3.0
3.5
2.
There is a weak inverse correlation between age and car-accident damage: Younger drivers tend to get into more expensive accidents (r= 0.2). Based on this, Angel's car-insurance company predicts that a typical accident for her will cost around $4,000 to repair. It turns out, though, that she is involved in an accident that requires only $3,000 to repair. What is the residual of prediction in this case?
$0
$3,000
$1,000
$4,000
3.
The slope of the regression line would be steepest for which of the following?
r = 1
r = 0
r = 0.5
r = 0.2
4.
Squaring Pearson'sr(r2) is a measure of
the slope of the regression line.
the proportion of variance in Y accounted for by X.
the variance in r.
the nonlinearity of the correlation.
5.
The regression line
can only be determined if the SD of the (Y - ) residuals is 0.
maximizes the SD of the (Y - ) residuals.
ensures that the SD of the (Y - ) residuals becomes equal to r.
minimizes the SD of the (Y - ) residuals.
6.
Samantha received a high score on the ACT examtwo standard deviations above the average (Zx= 2). The admissions advisor at the university she applied to recalls that ACT scores correlates moderately with college GPA (r= 0.2). Based on this recollection, the admissions advisor predicts a college GPA for Samantha, expressed as a standardizedzscore (Zy). What is her predicted GPA? (Hint:Recall thatZ=rZX.)
Zy= 0.4
Zy= 0
Zy= 0.2
Zy= 2.2
7.
In this figure, what do the yellow dotted lines beyond the regression line represent?
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