62 - 4- - A example The for Triple A's and the of earned by in - NY has been Problem #2- | - Chapter 4- Regression Models – MODIFIED Triple A Construction Company example presented on pages 112- 122. updated in 2020, and shown below: X: Local Payroll ($100,000,000s) Y: Sales 6.5 (S000'00%$) 3. 8.0 4. 8.5 6.0 5.0 10.0 a) Create the scatter diagram, similar to Figure 4.1 on page 112. b) Create a table similar to Table 4.2 on page 114 and determine the estimated linear regression equation. c) Calculate SST, SSE and SSR by using the formulas and shown on page 115 and create a table similar to Table 4.3. d) Calculate the coefficient of determination and the coefficient of correlation, by applying the formulas presented on page 116. e) Estimate the variance for the linear regression model you created, by applying the formulas presented on page 119. f) Calculate the value of the test statistic F, compare to the value of F associated with a 10% level of significance and determine if there is a statistically significant relationship between X and Y. Page 2 of 4

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
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62
- 4- - A example
The for Triple A's and the of earned by in - NY has been
Problem #2-
|
- Chapter 4- Regression Models – MODIFIED Triple A Construction Company example
presented on pages 112- 122.
updated in 2020, and shown below:
X: Local Payroll
($100,000,000s)
Y: Sales
6.5
(S000'00%$)
3.
8.0
4.
8.5
6.0
5.0
10.0
a) Create the scatter diagram, similar to Figure 4.1 on page 112.
b) Create a table similar to Table 4.2 on page 114 and determine the estimated linear regression equation.
c) Calculate SST, SSE and SSR by using the formulas and shown on page 115 and create a table similar to Table 4.3.
d) Calculate the coefficient of determination and the coefficient of correlation, by applying the formulas presented
on page 116.
e) Estimate the variance for the linear regression model you created, by applying the formulas presented on page
119.
f) Calculate the value of the test statistic F, compare to the value of F associated with a 10% level of significance
and determine if there is a statistically significant relationship between X and Y.
Page 2 of 4
Transcribed Image Text:62 - 4- - A example The for Triple A's and the of earned by in - NY has been Problem #2- | - Chapter 4- Regression Models – MODIFIED Triple A Construction Company example presented on pages 112- 122. updated in 2020, and shown below: X: Local Payroll ($100,000,000s) Y: Sales 6.5 (S000'00%$) 3. 8.0 4. 8.5 6.0 5.0 10.0 a) Create the scatter diagram, similar to Figure 4.1 on page 112. b) Create a table similar to Table 4.2 on page 114 and determine the estimated linear regression equation. c) Calculate SST, SSE and SSR by using the formulas and shown on page 115 and create a table similar to Table 4.3. d) Calculate the coefficient of determination and the coefficient of correlation, by applying the formulas presented on page 116. e) Estimate the variance for the linear regression model you created, by applying the formulas presented on page 119. f) Calculate the value of the test statistic F, compare to the value of F associated with a 10% level of significance and determine if there is a statistically significant relationship between X and Y. Page 2 of 4
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