MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Question
For question 2, is ANOVA table values correct and is multiple coefficient of determination 65.79%
|MSR= SST = dfrey 1-R2 SSR=168.481 299.52 (-0.3600 468 468=55R+299.52 2) Multiple regression analysis was used to study the relationship between a dependent variable, y, and four independent variables; x₁, x2, x3, and x4. The following is a partial result of the regression analysis involving 31 observations. [std error)² x df Intercept X1 X2 x3 X4 ANOVA Error error df Regression K Total Coefficients 18.00 12.00 24.00 -36.00 16.00 Standard Error 6.00 8.00 48.00 36.00 2.00 SS SSR=MSR.df ASSESST-SSR 1 = 760-500= (260) = SST = = n-k-1=1261 n-1=30 760 MS 125.4-500125 I = MSR MSE=SSE/af E 260/26 = (10) F Eskut= MSR MSE P-value w =FDIST (125 = 0.000 125 =168.48 4 a) Compute the multiple coefficient of determination. See attached b) Perform at test and determine whether or not B₁ is significantly different from zero (a = .05). c) Perform at test and determine whether or not ß4 is significantly different from zero (a = .05). d) At a = .05, perform an F test and determine whether or not the regression model is significant. 12.5
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Transcribed Image Text:|MSR= SST = dfrey 1-R2 SSR=168.481 299.52 (-0.3600 468 468=55R+299.52 2) Multiple regression analysis was used to study the relationship between a dependent variable, y, and four independent variables; x₁, x2, x3, and x4. The following is a partial result of the regression analysis involving 31 observations. [std error)² x df Intercept X1 X2 x3 X4 ANOVA Error error df Regression K Total Coefficients 18.00 12.00 24.00 -36.00 16.00 Standard Error 6.00 8.00 48.00 36.00 2.00 SS SSR=MSR.df ASSESST-SSR 1 = 760-500= (260) = SST = = n-k-1=1261 n-1=30 760 MS 125.4-500125 I = MSR MSE=SSE/af E 260/26 = (10) F Eskut= MSR MSE P-value w =FDIST (125 = 0.000 125 =168.48 4 a) Compute the multiple coefficient of determination. See attached b) Perform at test and determine whether or not B₁ is significantly different from zero (a = .05). c) Perform at test and determine whether or not ß4 is significantly different from zero (a = .05). d) At a = .05, perform an F test and determine whether or not the regression model is significant. 12.5
Ideakify p-value R² = SSR SST Hypotheses D SOD 760 The value for multiple coeff, of determination is 65.79% State Coeff. SE where Bu H₂: B₁ = 0 HA: B₁ #4 where B, is the population slope for from Excel= Calculate test statistic: 0.0000 t= = 0.6579 = 65.79% без сист Because p-value < is the std. error 12 t = = = 1.5 p-value from Excel 0.1957 3 Show р.з X₁ (0.05) of the coefficient. = TDIST (1.5, 26, 2) = = Sign its cont Draw conclusion: Since p-value (0.1457) > x (0.05) we FTR Ho with 95% confidence. and conclude to find that B is. Significantly different from Ø. that there is not sufficient evidence with 95% confidence. 1 L COLLEGE O iables, able.
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Transcribed Image Text:Ideakify p-value R² = SSR SST Hypotheses D SOD 760 The value for multiple coeff, of determination is 65.79% State Coeff. SE where Bu H₂: B₁ = 0 HA: B₁ #4 where B, is the population slope for from Excel= Calculate test statistic: 0.0000 t= = 0.6579 = 65.79% без сист Because p-value < is the std. error 12 t = = = 1.5 p-value from Excel 0.1957 3 Show р.з X₁ (0.05) of the coefficient. = TDIST (1.5, 26, 2) = = Sign its cont Draw conclusion: Since p-value (0.1457) > x (0.05) we FTR Ho with 95% confidence. and conclude to find that B is. Significantly different from Ø. that there is not sufficient evidence with 95% confidence. 1 L COLLEGE O iables, able.
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Given that:

n equals 31 space o b s e r v a t i o n space k equals 4 space i n d e p e n d n e t space v a r i a b l e s space S S T equals 760 space s u m space o f space s q u a r e s space o f space t o t a l space M S R equals 125 space m e a n space s u m space o f space s q u a r e s space o f space r e g r e s s i o n space

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