Q. 4 The following variables X and Y are both ratio scores: Participant Y 1 3 4 8. 6. 6. 8. 7. 4 8. 21 9. 4 10 6. 51 a. Calculate the appropriate correlation coefficient. b. Determine the regression equation. c. Compute the standard error of the estimate. 2345 1692

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Author:Carter
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Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 24PFA
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Q. 4
The following variables X and Y are both ratio scores:
Participant
1
2.
3
3
4
8.
15.
mimnumai
1
7
6.
7
8.
2
6.
10
a. Calculate the appropriate correlation coefficient.
b. Determine the regression equation.
c. Compute the standard error of the estimate.
d. Assume, r for X-5 and X=7 are 4.87 and 7.21 respectively. If any of the predicted scores
are not the actual scores the subjects obtained, by how much do you expect them to be
wrong?
How much smaller is this error (in d above) than if you used the mean of all scores to
predict Y scores.
e.
f. What is your answer in e above called and why?
385 245
Transcribed Image Text:Q. 4 The following variables X and Y are both ratio scores: Participant 1 2. 3 3 4 8. 15. mimnumai 1 7 6. 7 8. 2 6. 10 a. Calculate the appropriate correlation coefficient. b. Determine the regression equation. c. Compute the standard error of the estimate. d. Assume, r for X-5 and X=7 are 4.87 and 7.21 respectively. If any of the predicted scores are not the actual scores the subjects obtained, by how much do you expect them to be wrong? How much smaller is this error (in d above) than if you used the mean of all scores to predict Y scores. e. f. What is your answer in e above called and why? 385 245
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