You wish to determine if there is a positive 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 55.2 38.6 60.3 49.6 28.8 4.1 57.4 42.1 67.2 62.6 29.3 0.3 46.4 40.4 26.6 -3.4 50.4 36.9 45 32 43.6 32.2 20.5 -25 21.3 -18.9 14.6 -22.1 56.8 39.8 58.3 50.4 60.1 47.8 39.6 7.8 52.9 29.7 56.7 67.3 17.9 -18.4 56.2 47.9 80.1 94 49.6 46.4 52.8 38.4 47.2 33.7 59.9 63.7 35.4 27.1 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=0.10α=0.10. You have the following bivariate data set. x y 55.2 38.6 60.3 49.6 28.8 4.1 57.4 42.1 67.2 62.6 29.3 0.3 46.4 40.4 26.6 -3.4 50.4 36.9 45 32 43.6 32.2 20.5 -25 21.3 -18.9 14.6 -22.1 56.8 39.8 58.3 50.4 60.1 47.8 39.6 7.8 52.9 29.7 56.7 67.3 17.9 -18.4 56.2 47.9 80.1 94 49.6 46.4 52.8 38.4 47.2 33.7 59.9 63.7 35.4 27.1 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 |
|---|---|
| 55.2 | 38.6 |
| 60.3 | 49.6 |
| 28.8 | 4.1 |
| 57.4 | 42.1 |
| 67.2 | 62.6 |
| 29.3 | 0.3 |
| 46.4 | 40.4 |
| 26.6 | -3.4 |
| 50.4 | 36.9 |
| 45 | 32 |
| 43.6 | 32.2 |
| 20.5 | -25 |
| 21.3 | -18.9 |
| 14.6 | -22.1 |
| 56.8 | 39.8 |
| 58.3 | 50.4 |
| 60.1 | 47.8 |
| 39.6 | 7.8 |
| 52.9 | 29.7 |
| 56.7 | 67.3 |
| 17.9 | -18.4 |
| 56.2 | 47.9 |
| 80.1 | 94 |
| 49.6 | 46.4 |
| 52.8 | 38.4 |
| 47.2 | 33.7 |
| 59.9 | 63.7 |
| 35.4 | 27.1 |
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.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 5 images
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill