The estimated regression equation for a model involvingtwo independent variables and 55 observations is:   y-hat = 55.17  +  1.1X1 - 0.153X2   Other statistics produced for analysis include: SSR = 12370.8 SST = 35963.0 Sb1 = 0.33 Sb2 = 0.20     a) Interpret b1 and b2 in this estimated regression equation       b. Predict y when X1 = 55 and X2 = 70.       b) Compute R-square and Adjusted R-Square.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter3: Straight Lines And Linear Functions
Section3.4: Linear Regression
Problem 12SBE: Find the equation of the regression line for the following data set. x 1 2 3 y 0 3 4
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The estimated regression equation for a model involvingtwo independent variables and 55 observations is:

 

y-hat = 55.17  +  1.1X1 - 0.153X2

 

Other statistics produced for analysis include:

SSR = 12370.8

SST = 35963.0

Sb1 = 0.33

Sb2 = 0.20

 

 

a) Interpret b1 and b2 in this estimated regression equation

 

 

 

b. Predict y when X1 = 55 and X2 = 70.

 

 

 

b) Compute R-square and Adjusted R-Square.

 

 

 

 

e. Compute MSR and MSE.

 

 

 

f.  Compute F and use it to test whether the overall model is significant using a p-value (α = 0.05).

 

 

 

g. Perform a t test using the critical value approach for thesignificance of β1.

Use a level of significance of 0.05.

 

h. Perform a t test using the critical value approach for thesignificance of β2.

Use a level of significance of 0.05.

 

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