Question
You may need to use the appropriate technology to answer this question.The personnel director for Electronics Associates developed the following estimated regression equation relating an
You may need to use the appropriate technology to answer this question.The personnel director for Electronics Associates developed the following estimated regression equation relating an employee's score on a job satisfaction test to length of service and wage rate.
= 14.4 8.69x1 + 13.52x2
where
x1 | = | length of service (years) |
x2 | = | wage rate (dollars) |
y | = | job satisfaction test score (higher scores indicate greater job satisfaction). |
(a)Complete the missing entries in this portion of the Minitab computer output. (Round your answers to two decimal places.)
y = 14.4 8.69 X1 + 13.52 X2 |
Predictor | Coef | SE Coef | T |
---|---|---|---|
Constant | 14.4 | 8.191 | 1.76 |
x1 | 1.555 | ||
x2 | 13.52 | 2.085 |
S = 3.773 | R-sq = % | R-sq(adj) = % |
---|
Source | DF | SS | MS | F | |
---|---|---|---|---|---|
Regression | 2 | ||||
Residual Error | 71.18 | ||||
Total | 7 | 720.00 |
(b)Compute F and test using = 0.05 to see whether a significant relationship is present.State the null and alternative hypotheses.
H0: 1 = 2 = 0 Ha: One or more of the parameters is not equal to zero.
H0: 0 = 0
Ha: 0 0
H0: 0 0
Ha: 0 = 0
H0: One or more of the parameters is not equal to zero. Ha: 1 = 2 = 0
Find the value of the test statistic. (Round your answer to two decimal places.)F =
Find the p-value. (Round your answer to three decimal places.)p-value =
Is the relationship between x1, x2, and y significant?
Reject H0. We conclude that the relationship is significant.
Reject H0. We cannot conclude that the relationship is significant.
Do not reject H0. We conclude that the relationship is significant.
Do not reject H0. We cannot conclude that the relationship is significant.
(c)Did the estimated regression equation provide a good fit to the data? Explain. (Round your answers to two decimal places.)
Since R2 = is ---Select--- less than 0.55 at least 0.55 and Ra2 = is ---Select--- less than 0.55 at least 0.55 , the estimated regression equation ---Select--- provides does not provide a good fit.
(d)Use the t test and = 0.05 to test
H0: 1 = 0 and H0: 2 = 0.
Find the value of the test statistic for 1. (Round your answer to two decimal places.)
Find the p-value. (Round your answer to three decimal places.)p-value =
State your conclusion.
Reject H0. We conclude that 1 is significant.
Reject H0. We cannot conclude that 1 is significant.
Do not reject H0. We conclude that 1 is significant.
Do not reject H0. We cannot conclude that 1 is significant.
Find the value of the test statistic for 2. (Round your answer to two decimal places.)
Find the p-value. (Round your answer to three decimal places.)
p-value =
State your conclusion.
Reject H0. We conclude that 2 is significant.
Reject H0. We cannot conclude that 2 is significant.
Do not reject H0. We conclude that 2 is significant.
Do not reject H0. We cannot conclude that 2 is significant.
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