The following output was obtained. Analysis of variance SOURCE DF SS MS Regression 5 100 20 Residual
Question:
The following output was obtained. |
Analysis of variance | ||||||
SOURCE | DF | SS | MS | |||
Regression | 5 | 100 | 20 | |||
Residual Error | 20 | 40 | 2 | |||
Total | 25 | 140 | ||||
Predictor | Coefficient | SE Coefficient | t | |||
Constant | 3.00 | 1.50 | 2.00 | |||
X1 | 4.00 | 3.00 | 1.33 | |||
X2 | 3.00 | 0.20 | 15.00 | |||
X3 | 0.20 | 0.05 | 4.00 | |||
X4 | –2.50 | 1.00 | –2.50 | |||
X5 | 3.00 | 4.00 | 0.75 | |||
a. | What is the sample size? |
Sample size |
b. | Compute the value of R2. (Round your answer to 4 decimal places.) |
Coefficient of determination, R2 |
c. | Compute the multiple standard error of estimate. (Round your answer to 4 decimal places.) |
Multiple standard error of estimate |
Conduct a global test of hypothesis H0: β1 = β2 = β3 = β4 = β5 = 0; H1: Not all β's are 0 at the .05 significance level. |
d-1. | State the decision rule. (Round your answer to 2 decimal places.) |
Reject H0 if F > |
d-2. | What is the computed value of F? (Round your answer to 1 decimal place.) |
Value of F |
d-3. | Determine whether any of the regression coefficients are significant. |
(Click to select)RejectAccept H0. At least one regression coefficient is (Click to select)zeronot zero. |
e-1. | What is the decision rule for individual regression coefficients? Use the .05 significance level. (Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.) |
H0 is rejected in each case if t < or t > . |
e-2. | Which variables would you consider eliminating? |
(Click to select)X1 and X5X2 and X3X3 and X4X1 and X2 |
Introduction to Statistical Quality Control
ISBN: 978-1118146811
7th edition
Authors: Douglas C Montgomery