# 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.

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##### 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.

###### Education

- BSc , Wuhan Univ. China
- MA, Shandong Univ.

###### Recent Feedback

- "Your solution, looks excellent. I recognize things from previous chapters. I have seen the standard deviation formula you used to get 5.154. I do understand the Central Limit Theorem needs the sample size (n) to be greater than 30, we have 100. I do understand the sample mean(s) of the population will follow a normal distribution, and that CLT states the sample mean of population is the population (mean), we have 143.74. But when and WHY do we use the standard deviation formula where you got 5.154. WHEN & Why use standard deviation of the sample mean. I don't understand, why don't we simply use the "100" I understand that standard deviation is the square root of variance. I do understand that the variance is the square of the differences of each sample data value minus the mean. But somehow, why not use 100, why use standard deviation of sample mean? Please help explain."
- "excellent work"
- "Thank you so much for all of your help!!! I will be posting another assignment. Please let me know (once posted), if the credits I'm offering is enough or you ! Thanks again!"
- "Thank you"
- "Thank you very much for your valuable time and assistance!"

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