You wish to determine if there is a linear correlation between the two variables at a significance level of a = 0.10. (IMPORTANT: YOU MUST TAKE INTO ACCOUNT THE TYPE OF CORRELATION WE ARE TESTING!) You have the following bivariate data set. y 24.4 30.3 13.3 33.2 34 -4.1 15.2 6.1

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 11PPS
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You wish to determine if there is a linear correlation between the two variables at a significance
0.10. (IMPORTANT: YOU MUST TAKE INTO ACCOUNT THE TYPE OF CORRELATION WE
level of a =
ARE TESTING!) You have the following bivariate data set.
y
24.4
30.3
13.3
33.2
34
-4.1
15.2
6.1
38
-68.8
23.6
49.2
30.7
-19.2
39.4
-14.1
25.8
50.2
34.3
-12.3
31.6
60
21.9
-15.9
16.6
30.1
12
-4.8
25.6
37.3
25.4
-22.5
43.9
-10.9
21.8
42.9
41.1
-5.7
45.1
8.3
29.7
-21.5
37.3
-1.5
45.9
42.8
41.5
4.2
Transcribed Image Text:You wish to determine if there is a linear correlation between the two variables at a significance 0.10. (IMPORTANT: YOU MUST TAKE INTO ACCOUNT THE TYPE OF CORRELATION WE level of a = ARE TESTING!) You have the following bivariate data set. y 24.4 30.3 13.3 33.2 34 -4.1 15.2 6.1 38 -68.8 23.6 49.2 30.7 -19.2 39.4 -14.1 25.8 50.2 34.3 -12.3 31.6 60 21.9 -15.9 16.6 30.1 12 -4.8 25.6 37.3 25.4 -22.5 43.9 -10.9 21.8 42.9 41.1 -5.7 45.1 8.3 29.7 -21.5 37.3 -1.5 45.9 42.8 41.5 4.2
What is the correlation coefficient for this data set?
r =
(report answer accurate to at least 3 decimal places)
What is the p-value for the slope for this correlation coefficient?
p-value =
%3D
(report answer accurate to at least 4 decimal places)
Your final conclusion is that...
O There is sufficient sample evidence to support the claim that there is a statistically significant
correlation between the two variables.
O There is insufficient sample evidence to support the claim the there is a correlation between
the two variables.
Transcribed Image Text:What is the correlation coefficient for this data set? r = (report answer accurate to at least 3 decimal places) What is the p-value for the slope for this correlation coefficient? p-value = %3D (report answer accurate to at least 4 decimal places) Your final conclusion is that... O There is sufficient sample evidence to support the claim that there is a statistically significant correlation between the two variables. O There is insufficient sample evidence to support the claim the there is a correlation between the two variables.
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