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# Alpha Equal

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Question 1
Assume that a sample of n pairs of data results in the given value of r. For alpha equal .05, determine if there is a significant linear relationship between x and y. Let n = 22, r = -0.087.

Question 2
Assume that a sample of n pairs of data results in the given value of r. For alpha equal .05, determine if there is a significant linear relationship between x and y. Let n = 40, r = -0.299.

Question 3
Given the following ordered data pairs (x, y), compute the value of the linear correlation coefficient r: (2,6) (3,0) (5,15) (5,5) (10,2).

Question 4
Given the following ordered pairs (x, y): (5,-2) (3,0) (2,1) (1,2) (0,3) (2,1), compute the equation of the regression line.

Question 5
A Pearsons Correlation coefficient between college entrance exam grades and scholastic achievement was computed on a very sophisticated computer program to be -1.08. The USAF has asked you to comment on the researchers methodology and findings. On the basis of your brief study, you would tell the USAF that:
A. The entrance exam is a good predictor of success.
B. They should hire a new statistician.
C. The exam was a good test.
D. Students who do best on this exam will become the worst students.
E. Students as this school are underachieving.

https://brainmass.com/statistics/linear-regression/alpha-equal-26201

#### Solution Summary

Question 1
Assume that a sample of n pairs of data results in the given value of r. For alpha equal .05, determine if there is a significant linear relationship between x and y. Let n = 22, r = -0.087.

Question 2
Assume that a sample of n pairs of data results in the given value of r. For alpha equal .05, determine if there is a significant linear relationship between x and y. Let n = 40, r = -0.299.

Question 3
Given the following ordered data pairs (x, y), compute the value of the linear correlation coefficient r: (2,6) (3,0) (5,15) (5,5) (10,2).

Question 4
Given the following ordered pairs (x, y): (5,-2) (3,0) (2,1) (1,2) (0,3) (2,1), compute the equation of the regression line.

Question 5
A Pearsons Correlation coefficient between college entrance exam grades and scholastic achievement was computed on a very sophisticated computer program to be -1.08. The USAF has asked you to comment on the researchers methodology and findings. On the basis of your brief study, you would tell the USAF that:
A. The entrance exam is a good predictor of success.
B. They should hire a new statistician.
C. The exam was a good test.
D. Students who do best on this exam will become the worst students.
E. Students as this school are underachieving.

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