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d) Calculate the coefficient of determination and the coefficient of correlation, by applying the formulas presented on page 116.

d) Calculate the coefficient of determination and the coefficient of correlation, by applying the formulas presented on page 116.

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 correlation please. Formula provided. 

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 4 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.
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 4 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.
558/epubcti/6/1 122[%3BVhd.Vst.ldrer%03DP 000 b01F701/4/2[P7001013399000000000000000001F 701/52[P70010133... Q E b AA Correlation Coefficient Another measure related to the coefficient of determination is the coefficient of correlation D. This measure also expresses the degree or strength of the linear relationship. It is usually expressed as r and can be any number between and including +1 and -1. Figure 4.3 0 illustrates possible scatter diagrams for different values of r. The value of ris the square root of r. It is negative if the slope is negative, and it is positive if the slope is positive. Thus, The correlation coefficient ranges from - 1 to +1. (4-11) r = ±V r² For the Triple A Construction example with r = 0.6944, 53 r = v0.6944 0.8333 11 116 /579 em 3.pdf Problem 1 Excel.pdf Problem 1 Excel.pdf Ex. Credit Prob 1..pdf Ex. Credit Prob 1..pdf Show all PDF PDF POF 2:32 PM 69 F Sunny 11/29/2021
Transcribed Image Text:558/epubcti/6/1 122[%3BVhd.Vst.ldrer%03DP 000 b01F701/4/2[P7001013399000000000000000001F 701/52[P70010133... Q E b AA Correlation Coefficient Another measure related to the coefficient of determination is the coefficient of correlation D. This measure also expresses the degree or strength of the linear relationship. It is usually expressed as r and can be any number between and including +1 and -1. Figure 4.3 0 illustrates possible scatter diagrams for different values of r. The value of ris the square root of r. It is negative if the slope is negative, and it is positive if the slope is positive. Thus, The correlation coefficient ranges from - 1 to +1. (4-11) r = ±V r² For the Triple A Construction example with r = 0.6944, 53 r = v0.6944 0.8333 11 116 /579 em 3.pdf Problem 1 Excel.pdf Problem 1 Excel.pdf Ex. Credit Prob 1..pdf Ex. Credit Prob 1..pdf Show all PDF PDF POF 2:32 PM 69 F Sunny 11/29/2021
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