Refer to the following information: Predictor Coef SE Coef Constant -163 90 X 1

Question

Refer to the following information: Predictor         Coef                           SE Coef   Constant -163     90     X1 1,500     200     X2 -10     20     X3 5     9     X4 -200     100     X5 0.90     0.11     Source             df                             SS MS F   Regression 5     1,200.00        Error 16         Total 21     1,700.00      a. What is the regression equation? (Round the final answers to 2 decimal places. Negative answer should be indicated by a minus sign.) Y =  +  X1 +  X2 +  X3 +  X4 +  X5 b. If X1 = 4, X2 = 6, X3 = 8, X4 = 6, and X5 = 8, what is the value of the dependent variable? (Round the final answer to 2 decimal places.) 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 5     1,200.00                  Error 15                    Total 20     1,700.00      e-1. Conduct a global test of hypothesis, using the 0.05 significance level. (Round the final answers to 2 decimal places.)   H0: 1 = 2 = 3 = 4 = 5 = 0   H1: Not all 's are 0 Reject H0 if F > .   The value of the test statistic is . e-2. Can you conclude that any of the regression coefficients are different from zero?   (Click to select)RejectDo not reject H0. (Click to select)AllNot all regression coefficients equal zero. 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 For X4 For X5 H0: 1 = 0 H0: 2 = 0 H0: 3 = 0 H0: 4 = 0 H0: 5 = 0 H1: 1 0 H1: 2 0 H1: 3 0 H1: 4 0 H1: 5 0   Reject H0 if t >  or t < . f-2. Compute the values of the test statistic. (Round the final answers to 3 decimal places. Negative answer should be indicated by a minus sign.) t = t = t = t = t = f-3. Could you delete any of the variables?   (Click to select)DeleteKeep variable 1   (Click to select)KeepDelete variable 2   (Click to select)KeepDelete variable 3   (Click to select)DeleteKeep variable 4   (Click to select)DeleteKeep variable 5 Refer to the following information:

Explanation / Answer

a.
The regression equation is,
Y = -163 + 1500 X1 - 10 X2 + 5 X3 - 200 X4 + 0.90 X5

b.
If X1 = 4, X2 = 6, X3 = 8, X4 = 6, and X5 = 8,
Y = -163 + 1500 * 4 - 10 * 6 + 5 * 8 - 200 * 6 + 0.90 * 8 = 4624.2

c-1.
Sample size = df for Total + 1 = 21 + 1 = 22

c-2.
The independent variables are X1, X2, X3, X4, X5
Quantity of independent variables = 5

d.

SS(Error) = SS(Total) - SS(Regression) = 1700 - 1200 = 500

For each row, MS = SS / DF

MS(regression) = 1200/5 = 240

MS(error) = 500/15 = 33.33

F = MS(regression) / MS(error) = 240/ 33.33 = 7.2

Source DF SS MS F Regression 5 1200.00 240 7.2 Error 15 500.00 33.33 Total 20 1700.00

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