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 What is the standard error of the estimate? A) 1.595

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 What is the standard error of the estimate? A) 1.595

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section4.5: Correlation And Causation

Problem 15PPS

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Question

Here are the descriptive statistics for the two variables:

	Close Friends	Self-Esteem
Mean	8.90	5.20
SD	3.75	2.15

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

Definition Definition Relationship between two independent variables. A correlation tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

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