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# Multiple Regression

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A publishing company in New York is attempting to develop a model that can use to help predict sales for textbooks it is considering for future publication. The marketing department has collected data on several variables from a random sample of 15 books. These data are given in the attached excel file.

Answer these questions for the above question using the attached excel file:
1. Define these variables:

a) dependent variable(s)

b) independent variable(s)

2. Is the correlation coefficient significant? (yes or no)

a) p < .05

b) p < .01

c) p < .001

3. Write the regression equation. (May write independent variables as X1, X2, etc.)

4. Is the regression equation significant?

a) p < .05

b) p < .01

c) p < .001

5. Which, if any, of the independent variables contribute significantly to predicting y?

* What percent of the variation in y is explained by the set of independent variables?

##### Solution Summary

A publishing company in New York is attempting to develop a model that can use to help predict sales for textbooks it is considering for future publication. The marketing department has collected data on several variables from a random sample of 15 books. These data are given in the attached excel file.

Answer these questions for the above question using the attached excel file:
1. Define these variables:

a) dependent variable(s)

b) independent variable(s)

2. Is the correlation coefficient significant? (yes or no)

a) p < .05

b) p < .01

c) p < .001

3. Write the regression equation. (May write independent variables as X1, X2, etc.)

4. Is the regression equation significant?

a) p < .05

b) p < .01

c) p < .001

5. Which, if any, of the independent variables contribute significantly to predicting y?

* What percent of the variation in y is explained by the set of independent variables?

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###### 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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