11-12. (Tw Zoe is testing to see if there is a relationship between height in feet (X) and the number of good friends (Y). The regression line for the data is Y-hat = 17.625-0.9375X. Please do a t-test for the slope of the regression line. The sample size is 5. The mean of X is 6 with a SD of 2, and the mean of Y is 12 with a SD of 9. The standard error of the equations is 10.16. (It is larger than the standard deviation of Y due to estimating with such a small sample.) You must show all your work. You will need to state the critical value and come to a conclusion about the relationship between height and the number of good friends.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.6: Regression And Median-fit Lines
Problem 5PPS
Question
Please help me
11-12. (Tw
Zoe is testing to see if there is a relationship between height in feet (X) and the number of
good friends (Y). The regression line for the data is Y-hat = 17.625-0.9375X. Please do a t-test for the slope of the regression line. The
sample size is 5. The mean of X is 6 with a SD of 2, and the mean of Y is 12 with a SD of 9. The standard error of the equations is 10.16.
(It is larger than the standard deviation of Y due to estimating with such a small sample.) You must show all your work. You will need to
state the critical value and come to a conclusion about the relationship between height and the number of good friends.
Transcribed Image Text:11-12. (Tw Zoe is testing to see if there is a relationship between height in feet (X) and the number of good friends (Y). The regression line for the data is Y-hat = 17.625-0.9375X. Please do a t-test for the slope of the regression line. The sample size is 5. The mean of X is 6 with a SD of 2, and the mean of Y is 12 with a SD of 9. The standard error of the equations is 10.16. (It is larger than the standard deviation of Y due to estimating with such a small sample.) You must show all your work. You will need to state the critical value and come to a conclusion about the relationship between height and the number of good friends.
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