Question
In: Statistics and Probability
The estimated regression equation for a model involving two independent variables and 10 observations follows. Here...
The estimated regression equation for a model involving two independent variables and 10 observations follows. Here SST = 6,724.125, SSE = 507.75, sb1= 0.0813, and sb2= 0.0567.
= 29.1270 + 0.5906x1 + 0.4980x2
a. Interpret the regression coefficients in this estimated regression equation.
b. Compute MSE.
c. Use the F test to determine the overall significance of the relationship among the variables. Use α = 0.05.
d. Perform a t test for the significance of x1. Use a 0.05 level of significance.
e. Perform a t test for the significance of x2. Use a 0.05 level of significance.
f. Construct a 95% confidence interval for the coefficient of x2.
Solutions
orchestra answered 2 years agoRelated Solutions
The estimated regression equation for a model involving two independent variables and 10 observations follows. Here...
The estimated regression equation for a model involving two
independent variables and 10 observations follows. Here SST =
6,724.125, SSE = 507.75, sb1= 0.0813, and sb2= 0.0567.
= 29.1270 + 0.5906x1 +
0.4980x2
a. Interpret the regression coefficients in this estimated
regression equation.
b. Compute MSE.
c. Use the F test to determine the overall significance
of the relationship among the variables. Use α = 0.05.
d. Perform a t test for the significance of
x1. Use a 0.05 level...
The estimated regression equation for a model involving two independent variables and 65 observations is: yhat...
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.
(16 points)
Interpret b1 and b2 in this estimated
regression equation
Predict y when X1 = 65 and X2 = 70.
Compute R-square and Adjusted R-Square.
Comment on the goodness of fit of the model.
Compute MSR and MSE.
Compute F and use...
The estimated regression equation for a model involving two independent variables and 65 observations is: yhat...
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.
(16 points)
Interpret b1 and b2 in this estimated
regression equation
Predict y when X1 = 65 and X2 = 70.
Compute R-square and Adjusted R-Square.
Comment on the goodness of fit of the model.
Compute MSR and MSE.
Compute F and use...
The estimated regression equation for a model involving two independent variables and 65 observations is: yhat...
The estimated regression equation for a model involving two
independent
variables and 65
observations is: yhat = 55.17+1.2X1 -0.163X2
Other statistics
produced for analysis include: SSR = 12370.8, SST = 35963.0, Sb1 =
0.33, Sb2 = 0.20. (16 points)
Interpret b1 and b2 in this estimated regression equation
Predict y when X1 = 65 and X2 = 70.
Compute R-square and Adjusted R-Square.
Comment on the goodness of fit of the model.
Compute MSR and MSE.
Compute F and...
2. The estimated regression equation for a model involving two independent variables and 65 observations is:...
2. The estimated regression equation for a model involving two
independent variables and 65 observations is: yhat = 55.17+1.2X1
-0.163X2 Other statistics produced for analysis include: SSR =
12370.8, SST = 35963.0, Sb1 = 0.33, Sb2 = 0.20. (16 points)
a. Interpret b1 and b2 in this estimated regression equation
b. Predict y when X1 = 65 and X2 = 70.
c. Compute R-square and Adjusted R-Square.
d. Comment on the goodness of fit of the model.
e. Compute MSR...
The estimated regression equation for a model involving two independent variables and 60 observations is: y...
The estimated regression equation for a model involving two
independent variables and 60 observations is: y ̂ = 30.17 - 2.5X1 +
0.428X2 Other statistics produced for analysis include: SSR =
1160.6, SST = 2183.4, Sb1 = 0.13, Sb2 = 0.20. Interpret
b1 and b2 in this estimated regression equation Predict y when X1 =
50 and X2 = 60. Compute R-square and Adjusted R-Square. Comment on
the goodness of fit of the model. Perform a “t” test using the...
The estimated regression equation for a model involving two independent variables and 65 observations is: yhat...
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.
(16 points)
Interpret b1 and b2 in this estimated
regression equation
Predict y when X1 = 65 and X2 = 70.
Compute R-square and Adjusted R-Square.
Comment on the goodness of fit of the model.
Compute MSR and MSE.
Compute F and use...
Given are five observations for two variables, x and y. The estimated regression equation for these...
Given are five observations for two variables, x and y. The
estimated regression equation for these data is y = 1 + 2.4x
(A) Compute SSE, SST, and SSR
(B) Compute the coefficient of determination, R^2.
(C) Compute the sample correlation coefficient.
x
y
1
3
2
8
3
5
4
12
5
13
In a regression model involving 64 observations, the following estimated regression equation was obtained: Y=29+18X1+43X2+877X3 For...
In a regression model involving 64 observations, the following
estimated regression equation was obtained:
Y=29+18X1+43X2+877X3
For this model SSR=700 and SSE=500
Required:
a. Calculate the coefficient of determination for the above
model.
b. Calculate the correlation coefficient.
c- Calculate the MSR.
d. Calculate the computed F statistics for testing the
significance of the above model.
In a regression analysis involving 30 observations, the following estimated regression equation was obtained. ŷ =...
In a regression analysis involving 30 observations, the
following estimated regression equation was obtained.
ŷ = 17.6 + 3.2x1 − 2.2x2 +
7.6x3 + 2.7x4
1. Interpret b1 in this estimated regression
equation. (choose an option)
a)b1 = −2.2 is an estimate of the change in
y corresponding to a 1 unit change in
x1 when x2,
x3, and x4 are held
constant.
b)b1 = 7.6 is an estimate of the change in
y corresponding to a 1 unit change...
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