Question

Refer to the following regression output: Predictor Coef SE Coef Constant    30.00 13.70 X1    -7.00 3.60...

Refer to the following regression output:

Predictor Coef SE Coef
Constant    30.00 13.70
X1    -7.00 3.60
X2 3.00 9.30
X3 -19.00 10.80
Source DF SS MS F
  Regression 3.00 8,200.00
  Error 25.00
    Total

28.00

10,000.00

a. What is the regression equation? (Round the final answers to the nearest whole number. Negative answer should be indicated by a minus sign.)

Y′ =  +   X1 +  X2 +  X3

b. If X1 = 4, X2 = 6, and X3 = 8, what is the value of the dependent variable? (Round the final answer to the nearest whole. Negative answer should be indicated by a minus sign.)

Y′ =

c-1. How large is the sample?

Sample size           

c-2. How many independent variables are there?

Quantity of independent variables           

d. Complete the ANOVA table. (Round the final answers to 2 decimal places.)

Source DF SS MS F
  Regression 3   8,200.00
  Error 25
    Total 28 10,000.00

e-1. Conduct a global test of hypothesis, using the 0.05 significance level. (Round the final answers to 2 decimal places.)

H0: β1 = β2 = β3 = 0

H1: Not all β's are 0

Reject H0 if F >             .

The value of the test statistic is             .

f-1. Conduct a test of hypothesis on each of the regression coefficients. (Round the final answers to 3 decimal places. Negative answer should be indicated by a minus sign.)

For X1 For X2 For X3
H0: β1 = 0 H0: β2 = 0 H0: β3 = 0
H1: β1 ≠ 0 H1: β2 ≠ 0 H1: β3 ≠ 0

Reject H0 if t >  or t <  .

f-2. Compute the values of the test statistic. (Round the final answers to 2 decimal places. Negative answer should be indicated by a minus sign.)

Test statistic
X1   
X2   
X3

Homework Answers

Answer #1

a)Yhat=30+(-7)*x1+3*x2+(-19)*x3

b)

Yhat=30+(-7)*4+3*6+(-19)*8= -132

c-1) Sample size =28+1=29

c-2) independent variables =3

d)

Source DF SS MS F
  Regression 3 8200 2733.33 37.96
  Error 25 1,800.00 72.00
    Total 28 10,000.00

e-1)

Reject H0 if F > 2.99

The value of the test statistic is 37.96

f-1) Reject H0 if t >2.060 or t <-2.060

Predictor test statistic
X1 -1.94
X2 0.32
X3 -1.76
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