Another Practice Problem df 3 156 159 Regression Residual Total Intercept 36.90 3.28 X1 X2 X3 MSR Coefficients Standard Error 2.67 0.06 SSR k R² = MSE = SSR SST 47.28 0.30 1.57 0.13 SS 1,351,201.95 1,650,546.33 SSE n-k-1 Adj. R² F = 1 t Stat 0.78 10.82 1.71 0.48 MSR MSE 1-[(1 − R²); P-valu 0.44 0.00 0.09 0.63 n-1 n-k-1.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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Question
Another Practice Problem
Regression
Residual
Total
Intercept
X1
X2
X3
MSR =
Coefficients Standard Error t Stat
36.90
0.78
3.28
10.82
2.67
0.06
SSR
k
R²
df
3
156
159
=
MSE
SSR
SST
SS
1,351,201.95
1,650,546.33
47.28
0.30
1.57
0.13
SSE
n-k-1
1.71
0.48
F =
MSR
MSE
P-value
0.44
0.00
0.09
0.63
Question 1
Calculate the F-statistic for this
regression.
Question 2
Calculate the sum of squares
total.
Question 3
Calculate the coefficient of
determination. Calculate
Adjusted R2
Question 4
If the critical value for F is 2.66, is
Adj. R²1 (1 - R²)
-[(1-R²) ¹₁ the model statistically significant?
Transcribed Image Text:Another Practice Problem Regression Residual Total Intercept X1 X2 X3 MSR = Coefficients Standard Error t Stat 36.90 0.78 3.28 10.82 2.67 0.06 SSR k R² df 3 156 159 = MSE SSR SST SS 1,351,201.95 1,650,546.33 47.28 0.30 1.57 0.13 SSE n-k-1 1.71 0.48 F = MSR MSE P-value 0.44 0.00 0.09 0.63 Question 1 Calculate the F-statistic for this regression. Question 2 Calculate the sum of squares total. Question 3 Calculate the coefficient of determination. Calculate Adjusted R2 Question 4 If the critical value for F is 2.66, is Adj. R²1 (1 - R²) -[(1-R²) ¹₁ the model statistically significant?
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