You wish to determine if there is a linear correlation between the two variables at a significance level of α=0.10α=0.10. You have the following bivariate data set. x y 99.3 2.7 72.6 24.4 62.2 42.2 76.5 2.8 73.9 17.5 90 11.7 52 47.2 84.2 10.6 72.7 15.1 86.1 14.7 61.1 53.5 46.5 56.2 90.7 -3.6 103.1 -10 49.2 46.8 38.5 54.6 61.8 46.5 74.2 27.9 63.7 48.7 74.8 28.2 63 29.6 59.8 40.5 80.5 13.5 80 21.3 71.4 22.8 59.6 51.6 45.1 61.9 84.4 18.2 download link provided here: 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.
You wish to determine if there is a linear correlation between the two variables at a significance level of α=0.10α=0.10. You have the following bivariate data set. x y 99.3 2.7 72.6 24.4 62.2 42.2 76.5 2.8 73.9 17.5 90 11.7 52 47.2 84.2 10.6 72.7 15.1 86.1 14.7 61.1 53.5 46.5 56.2 90.7 -3.6 103.1 -10 49.2 46.8 38.5 54.6 61.8 46.5 74.2 27.9 63.7 48.7 74.8 28.2 63 29.6 59.8 40.5 80.5 13.5 80 21.3 71.4 22.8 59.6 51.6 45.1 61.9 84.4 18.2 download link provided here: 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.
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
| x | y |
|---|---|
| 99.3 | 2.7 |
| 72.6 | 24.4 |
| 62.2 | 42.2 |
| 76.5 | 2.8 |
| 73.9 | 17.5 |
| 90 | 11.7 |
| 52 | 47.2 |
| 84.2 | 10.6 |
| 72.7 | 15.1 |
| 86.1 | 14.7 |
| 61.1 | 53.5 |
| 46.5 | 56.2 |
| 90.7 | -3.6 |
| 103.1 | -10 |
| 49.2 | 46.8 |
| 38.5 | 54.6 |
| 61.8 | 46.5 |
| 74.2 | 27.9 |
| 63.7 | 48.7 |
| 74.8 | 28.2 |
| 63 | 29.6 |
| 59.8 | 40.5 |
| 80.5 | 13.5 |
| 80 | 21.3 |
| 71.4 | 22.8 |
| 59.6 | 51.6 |
| 45.1 | 61.9 |
| 84.4 | 18.2 |
download link provided here:
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 sufficient sample evidence to support the claim that there is a statistically significant correlation between the two variables.
- There is insufficient sample evidence to support the claim the there is a correlation between the two variables.
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