Calculate SST, SSE and SSR by using the formulas and shown on page 115 and create a table similar to Table 4.3.
Calculate SST, SSE and SSR by using the formulas and shown on page 115 and create a table similar to Table 4.3.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
C please. Table included
![33...
b
the mean of the Y values. The errors used in computing the sums of squares are shown on this graph. Notice
how the sample points are closer to the regression line than they are to the mean.
Table 4.3 Sum of Squares for Triple A Construction
2.
(Y-Y)*
21
(7 - Y)*
Y
(Y-Ý)'
(6 – 7)° = 1
(9.
2 + 1.25 (3) = 5.75
0.0625
1.563
8.
4
(8 7)2 1
2 + 1.25 (4) = 7.00
1
0.
6.
(9 – 7)² = 4
2+ 1.25 (6) = 9.50
0.25
6.25
5.
(5 – 7) = 4
2 + 1.25 (4) = 7.00
4
4.
4.5
(4.5 7) = 6.25
2+ 1.25 (2) = 4.50
0.
6.25
9.5
5 (9.5 7) = 6.25
2 + 1.25 (5) = 8.25
1.5625
1.563
2
>(v - F)*
Y = 7
Σ(Υ- Υ
= 22.5
6.875 E(Y - Y)
15.625
SST = 22.5
SSE
6.875
SSR = 15.625
Y 12
115
3.
2.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff3041522-3f1c-45f3-aa8a-2daac80a14bf%2F01029586-79ac-456c-82c3-24084c417b35%2Fijyrat_processed.jpeg&w=3840&q=75)
Transcribed Image Text:33...
b
the mean of the Y values. The errors used in computing the sums of squares are shown on this graph. Notice
how the sample points are closer to the regression line than they are to the mean.
Table 4.3 Sum of Squares for Triple A Construction
2.
(Y-Y)*
21
(7 - Y)*
Y
(Y-Ý)'
(6 – 7)° = 1
(9.
2 + 1.25 (3) = 5.75
0.0625
1.563
8.
4
(8 7)2 1
2 + 1.25 (4) = 7.00
1
0.
6.
(9 – 7)² = 4
2+ 1.25 (6) = 9.50
0.25
6.25
5.
(5 – 7) = 4
2 + 1.25 (4) = 7.00
4
4.
4.5
(4.5 7) = 6.25
2+ 1.25 (2) = 4.50
0.
6.25
9.5
5 (9.5 7) = 6.25
2 + 1.25 (5) = 8.25
1.5625
1.563
2
>(v - F)*
Y = 7
Σ(Υ- Υ
= 22.5
6.875 E(Y - Y)
15.625
SST = 22.5
SSE
6.875
SSR = 15.625
Y 12
115
3.
2.
![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff3041522-3f1c-45f3-aa8a-2daac80a14bf%2F01029586-79ac-456c-82c3-24084c417b35%2F0xedql_processed.jpeg&w=3840&q=75)
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.
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