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Regression Analysis From Partial Computer Output

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Consider the following partial computer output from a simple linear regression analysis from the data provided in the attached document.

What is the estimated y-intercept?
What is the estimated slope?
Write the equation of the regression line.
What is the predicted value of y when x = 1,000?
Calculate the correlation coefficient.
Write a sentence interpreting what R2 means given the independent and dependent variable.

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Solution Summary

This solution solves for the y-intercept, slope, correlation coefficient and independent and dependent variables based on partial computer output from a linear regression analysis.

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1) What is the estimated y-intercept?
From the output table, we know that the estimated y-intercept is -28.13.

2) What is the estimated slope?
From the output table, we know that the estimated slope is 1.12.

3) ...

Solution provided by:
Changping Wang, MA
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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