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# Estimated Regression Equation

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The typical household income and typical home price for a sample of 18 cities follows (see attachment - data are in thousands of dollars).

PART A:
a. Use these data to develop an estimated regression equation that could be used to estimate the typical home price for a city given the typical household income.
b. Compute r2 [r squared]. Would you feel comfortable using this estimated regression equation to estimate the typical home price for a city?
c. Estimate the typical home price for a city that has a typical household income of \$95,000.00.

PART B:
Refer to the above exercise, where an estimated regression equation was developed relating typical household income and typical home price. Test whether the typical household income for a city and the typical home price are related at the .01 level of significance.

##### Solution Summary

The typical household income and typical home price for a sample of 18 cities follows (see attachment - data are in thousands of dollars).

PART A:
a. Use these data to develop an estimated regression equation that could be used to estimate the typical home price for a city given the typical household income.
b. Compute r2 [r squared]. Would you feel comfortable using this estimated regression equation to estimate the typical home price for a city?
c. Estimate the typical home price for a city that has a typical household income of \$95,000.00.

PART B:
Refer to the above exercise, where an estimated regression equation was developed relating typical household income and typical home price. Test whether the typical household income for a city and the typical home price are related at the .01 level of significance.

Solution provided by:
###### 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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