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The figures for Triple A's revenue and the amount of money earned by wage earners in Albany - NY has been updated in 2020, and shown below: X: Local Payroll ($100,000,000s) Y: Sales ($100,000s) 6.5 3 8.0 4 8.5 5.5 6. 4.0 9.0

The figures for Triple A's revenue and the amount of money earned by wage earners in Albany - NY has been updated in 2020, and shown below: X: Local Payroll ($100,000,000s) Y: Sales ($100,000s) 6.5 3 8.0 4 8.5 5.5 6. 4.0 9.0

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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D coefficient of determination only. Formula included 

The figures for Triple A's revenue and the amount of money earned by wage earners in Albany - NY has been updated in 2020, and shown below: X: Local Payroll| ($100,000,000s) Y: Sales ($100,000s) 6.5 8.0 8.5 5.5 4.0 9.0 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 5% level of significance and determine if there is a statistically significant relationship between X and Y. 456 N5
Transcribed Image Text:The figures for Triple A's revenue and the amount of money earned by wage earners in Albany - NY has been updated in 2020, and shown below: X: Local Payroll| ($100,000,000s) Y: Sales ($100,000s) 6.5 8.0 8.5 5.5 4.0 9.0 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 5% level of significance and determine if there is a statistically significant relationship between X and Y. 456 N5
8558/epubcfi/6/122[%3 9000000000000000001F70]|/4/2[P700101339900000000000000 0001F70]/50[P70010133... Q E * b Q A Coefficient of Determination The SSR is sometimes called the explained variability in Y, while the SSE is the unexplained variability in Y. The proportion of the variability in Y that is explained by the regression equation is called the coefficient of determination D and is denoted by r. Thus, 2 is the proportion of variability in Y that is explained by the regression equation. (4-10) SSR SSE SST SST Either the SSR or the SSE can be used to find r. For Triple A Construction, we have 21 15.625 0.6944 63 22.5 111 This means that about 69% of the variability in sales (Y) is explained by the regression equation based on 116 / 57 Show a lem 3.pdf Problem 1 Excel.pdf Problem 1 Excel.pdf Ex. Credit Prob 1..pdf Ex. Credit Prob 1..pdf PDF PDF PDF FOF 2:30 PM 69 F Sunny 11/29/2021
Transcribed Image Text:8558/epubcfi/6/122[%3 9000000000000000001F70]|/4/2[P700101339900000000000000 0001F70]/50[P70010133... Q E * b Q A Coefficient of Determination The SSR is sometimes called the explained variability in Y, while the SSE is the unexplained variability in Y. The proportion of the variability in Y that is explained by the regression equation is called the coefficient of determination D and is denoted by r. Thus, 2 is the proportion of variability in Y that is explained by the regression equation. (4-10) SSR SSE SST SST Either the SSR or the SSE can be used to find r. For Triple A Construction, we have 21 15.625 0.6944 63 22.5 111 This means that about 69% of the variability in sales (Y) is explained by the regression equation based on 116 / 57 Show a lem 3.pdf Problem 1 Excel.pdf Problem 1 Excel.pdf Ex. Credit Prob 1..pdf Ex. Credit Prob 1..pdf PDF PDF PDF FOF 2:30 PM 69 F Sunny 11/29/2021
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