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A researcher was interested in the relationship between number of close friends and self-esteem. A sample of 40 participants were recruited and asked to report

A researcher was interested in the relationship between number of close friends and self-esteem. A sample of 40 participants were recruited and asked to report the number of close friends they had, as well as their level of self-esteem. The data showed a positive correlation, such that having more close friends was associated with having higher self-esteem, r(38) = .45.

Here are the descriptive statistics for the two variables:

Close Friends Self-Esteem
Mean 8.90 5.20
SD 3.75 2.15

In a regression equation predicting self-esteem, what is the value of b? A) 0.258 B) 0.263 C) 0.785 D) 0.573

In a regression equation predicting self-esteem, what is the value of a? A) -1.787 B) 7.496 C) 2.904 D) 4.818

One participant named Jesse reported that they had 4 close friends. Based on the regression equation, what would Jesse's predicted self-esteem score be? A) 3.936 B) 1.353 C) 7.958 D) 8.528

If Jesse's actual self-esteem score was 5, what is the residual score? A) -2.958 B) 3.647 C) -3.528 D) 1.064

What is the standard error of the estimate? A) 1.595 B) 1.666 C) 0.970 D) 1.920

If there was no (zero) correlation between number of close friends and self-esteem, what would be the best estimate of Jesse's self-esteem score? A) 2.904 B) 5.200 C) 4.818 D) 8.900

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