You wish to determine if there is a positive linear correlation between the two variables at a significance level of α=0.005α=0.005. You have the following bivariate data set. x y 38.4 32.8 51.2 54.7 48.1 54.6 35.7 11.7 64 103.3 56.5 88 68.6 113.9 10.9 -74.1 53.7 26 51.8 52.1 47.2 57.3 57.6 72.2 60.8 88.4 What is the correlation coefficient for this data set? r = (report answer accurate to at least 3 decimal places) To find the p-value for a correlation coefficient, you need to convert to a t-score:t=r⋅√n−21−r2t=r⋅n-21-r2This t-score is from a t-distribution with n−2n-2 degrees of freedom. What is the p-value for this correlation coefficient? p-value = (report answer accurate to at least 4 decimal places) Your final conclusion is that... There is insufficient sample evidence to support the claim the there is a positive correlation between the two variables. There is sufficient sample evidence to support the claim that there is a statistically significant positive correlation between the two variables.
You wish to determine if there is a positive linear correlation between the two variables at a significance level of α=0.005α=0.005. You have the following bivariate data set. x y 38.4 32.8 51.2 54.7 48.1 54.6 35.7 11.7 64 103.3 56.5 88 68.6 113.9 10.9 -74.1 53.7 26 51.8 52.1 47.2 57.3 57.6 72.2 60.8 88.4 What is the correlation coefficient for this data set? r = (report answer accurate to at least 3 decimal places) To find the p-value for a correlation coefficient, you need to convert to a t-score:t=r⋅√n−21−r2t=r⋅n-21-r2This t-score is from a t-distribution with n−2n-2 degrees of freedom. What is the p-value for this correlation coefficient? p-value = (report answer accurate to at least 4 decimal places) Your final conclusion is that... There is insufficient sample evidence to support the claim the there is a positive correlation between the two variables. There is sufficient sample evidence to support the claim that there is a statistically significant positive correlation between the two variables.
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
Related questions
Question
You wish to determine if there is a positive
| x | y |
|---|---|
| 38.4 | 32.8 |
| 51.2 | 54.7 |
| 48.1 | 54.6 |
| 35.7 | 11.7 |
| 64 | 103.3 |
| 56.5 | 88 |
| 68.6 | 113.9 |
| 10.9 | -74.1 |
| 53.7 | 26 |
| 51.8 | 52.1 |
| 47.2 | 57.3 |
| 57.6 | 72.2 |
| 60.8 | 88.4 |
What is the
r =
(report answer accurate to at least 3 decimal places)
To find the p-value for a correlation coefficient, you need to convert to a t-score:t=r⋅√n−21−r2t=r⋅n-21-r2This t-score is from a t-distribution with n−2n-2 degrees of freedom.
What is the p-value for this correlation coefficient?
p-value =
(report answer accurate to at least 4 decimal places)
Your final conclusion is that...
- There is insufficient sample evidence to support the claim the there is a
positive correlation between the two variables. - There is sufficient sample evidence to support the claim that there is a statistically significant positive correlation between the two variables.
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