Researchers investigated the relationship between hours of sunlight per day and optimism about the future, measured on a scale from 1-10. Here are their data X (sunlight) Y (optimism) 1 4 4 7 8 8 10 7 Answer the questions below. (1) What is correlation between these two variables? (2) How many degrees of freedom are there? (3) What is the associated critical value?

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QUESTION 7
Researchers investigated the relationship between hours of sunlight per day and optimism about the future, measured on a scale from 1-10. Here are their data:
X (sunlight)::Y (optimism):
2
1
4
4
7
6.
8
8
10
7
Answer the questions below.
(1) What is correlation between these two variables?
(2) How many degrees of freedom are there?
(3) What is the associated critical value?
(4) Is the correlation significant (assume a two-tailed test with alpha = 0.05)?
%3D
a. Yes, it is significant because the correlation is greater than the critical value
b. Yes, it is significant because the correlation is less than the critical value
c. No, it is not significant because the correlation is greater than the critical value
d. No, it is not significant because the correlation is less than the critical value
(5) What is the coefficient of determination?
Transcribed Image Text:QUESTION 7 Researchers investigated the relationship between hours of sunlight per day and optimism about the future, measured on a scale from 1-10. Here are their data: X (sunlight)::Y (optimism): 2 1 4 4 7 6. 8 8 10 7 Answer the questions below. (1) What is correlation between these two variables? (2) How many degrees of freedom are there? (3) What is the associated critical value? (4) Is the correlation significant (assume a two-tailed test with alpha = 0.05)? %3D a. Yes, it is significant because the correlation is greater than the critical value b. Yes, it is significant because the correlation is less than the critical value c. No, it is not significant because the correlation is greater than the critical value d. No, it is not significant because the correlation is less than the critical value (5) What is the coefficient of determination?
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