You wish to determine if there is a negative linear correlation between the two variables at a significance level of α=0.05. You have the following bivariate data set. x y 18.7 39.3 12.2 71.7 20.8 36.4 20.7 29.6 17.3 44.4 21.1 40.3 17.6 35.9 15.6 54.6 34.2 -22.8 24.5 48.6 23.5 21.1 23.4 38.4 16.1 41.7 20.3 54.7 19.2 41.4 28.9 25.1 26.9 48.4 15.9 52.1 What is the correlation coefficient for this data set? r =  To find the p-value for a correlation coefficient, you need to convert to a t-score: t=√r2(n−2)1−r2 This t-score is from a t-distribution with n–2 degrees of freedom. What is the p-value for this correlation coefficient? p-value =

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 11PPS
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You wish to determine if there is a negative linear correlation between the two variables at a significance level of α=0.05. You have the following bivariate data set.

x y
18.7 39.3
12.2 71.7
20.8 36.4
20.7 29.6
17.3 44.4
21.1 40.3
17.6 35.9
15.6 54.6
34.2 -22.8
24.5 48.6
23.5 21.1
23.4 38.4
16.1 41.7
20.3 54.7
19.2 41.4
28.9 25.1
26.9 48.4
15.9 52.1



What is the correlation coefficient for this data set?
r = 

To find the p-value for a correlation coefficient, you need to convert to a t-score:

t=√r2(n−2)1−r2

This t-score is from a t-distribution with n–2 degrees of freedom.

What is the p-value for this correlation coefficient?
p-value = 

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