Please answer in the same formatting as the question, thank you Consider a multi

Question

Please answer in the same formatting as the question, thank you

Consider a multiple regression model of the dependent variable y on independent variables x1, X2, x3, and x4: Using data with n = 40 observations for each of the variables, a student obtains the following estimated regression equation for the model given: y = 0.09 + 0.62X1 + 0.17X2-0.22X3 + 0.08X4 He would like to conduct significance tests for a multiple regression relationship. He uses the F test to determine whether a significant relationship exists between the dependent variable and He uses the t test to determine whether a significant relationship exists between the dependent variable and . The F test is a test for significance, while the t test is a test for significance The sum of squares due to regression (SSR), the sum of squares due to error (SSE), and the total sum of squares (SST) for the multiple regression are shown in the following table nalysis of Variance Degrees of Mean Source of Variation Regression (SSR) Error (SSE) Total (SST) Sum of Squares 28.0809 46.7018 74.7827 Freedom Square F value p-value | 0.0020

Explanation / Answer

1st filling the blanks.

model

independent variable

linearity of model.

regression coefficient for independent variable

f conducted value at 0.05=2.86

Parameter Estimation

X1 is only significant.

filling the blanks

X1 is significant

moderatly corelated

multicolinearity

DF MS=ss/df F=msr/mse 4-1=3 9.3603 7.21577 39-3=40-4=36 1.29727 40-1=39

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