In a regression analysis of a first-order model involving 3 predictor variables and 25 observations, the following estimated regression equation was developed. yhat= 10 - 18x1+ 3x2+ 14x3 Also, the following standard errors and the sum of squares were obtained. Sb1= 3, Sb2= 6, Sb3= 7, SST = 4800 & SSE = 1296. At the 5% level, the coefficient of x1?
Select one:
a. cannot be tested, because not enough information is provided
b. should be estimated again, because it is incorrect in the above equation
c. is significant
d. is not found to be significant.
e. None of the answers are correct
In a regression analysis of a first-order model involving 3 predictor variables and 25 observations, the...
In a regression analysis involving 36 observations, the following estimated regression equation was developed. û = 10 - 5X1 + 4X2 +8.6X3 Also, the following standard errors and the sum of squares were obtained. Sb1 = 4 Sb2 = 2 Sb3 = 7 SST = 4,800 SSE = 1,296 When we increase X1 by 2 units and hold other things constant, Y on average will increase by 36 units U None of the rest increase by 5 units decrease by...
Question: Comment on the goodness of fit of the model. The estimated regression equation for a model involving two independent variables and 65 observations is: yhat = 55.17+1.1X1 -0.153X2 Other statistics produced for analysis include: SSR = 12370.8, SST = 35963.0, Sb1 = 0.33, Sb2 = 0.20.
6. In a regression model involving 46 observations, the following estimated regression equation was obtained. û = 17+4X1 - 3X2 + 8X3 +5X4 + 8Xs For this model, SST = 3410 and SSE = 510. a. Compute the coefficient of determination. b. Perform an F test and determine whether or not the regression model is significant
Question: Compute F and use it to test whether the overall model is significant using a p-value (α = 0.05). The estimated regression equation for a model involving two independent variables and 65 observations is: yhat = 55.17+1.1X1 -0.153X2 Other statistics produced for analysis include: SSR = 12370.8, SST = 35963.0, Sb1 = 0.33, Sb2 = 0.20.
In a multiple regression model involving 44 observations, the following estimated regression equation was obtained. ŷ= 29 + 18x1 + 43x2 + 87x3 For this model, SSR = 600 and SSE = 400. The F statistic for the above model is 10 60 400 600
In a regression analysis involving 30 observations, the following estimated regression equation was obtained. y=17.6+3.8x1-2.3x2+7.6x3+2.7x4 For this estimated regression equation SST= 1805 and SSR=1756. a. At a= 0.05 , test the significance of the relationship among the variables. SSE=_________________ (to 1 decimal, if necessary) MSR=________________ (to 1 decimal, if necessary) MSE=+_______________ (to 2 decimals, if necessary) What is the value of the F test statistic (to 1 decimal)? _______________ What is the p-value? - Select your answer -less than .01,between...
In a regression model involving 30 observations, the following estimated regression equation was obtained: 17+ 4x4 - 3x2 + 8x3+8X For this model SSR = 700 and SSE - 100. The computed Fstatistic for testing the significance of the above model is 43.75 7.00 50.19 0.875
eBook Video In a regression analysis involving 30 observations, the following estimated regression equation was obtained. 17.6+3.8z-2.3z +7.6z, +2.7z For this estimated regression equation SST- 1805 and SSR- 1,764. a. At a 0.05, test the significance of the relashionship among the variables. SSE (to 1 decimal, if necessary) MSR (to 1 decimal, if necessary) MSE (to 2 decimal if necessary) What is the value of the F test statistic (to 1 decimal)? Use Table 4 in Appendix B. What is...
In a multiple regression analysis involving 8 independent variables and 165 observations, SST = 650 and SSE = 247. The coefficient of determination is equal to what value? (Report your answer as a proportion to 2 decimal places, using conventional rounding rules)
2. A baseball analyst wants to determine which variables are important in predicting a team's wins in a given season. He has collected data related to wins, earned run average (ERA), runs scored, and errors. Analyze the data below: y = #wins X1 = ERA X2 = runs scored X3 = #errors bo = 84 b1 = -18 b2 = 1 b3 = -2 Sb1 = 2.1 Sb2 = .04 Sb3 = 1.1 SSR = 1500 SSE = 646 n...