Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

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.

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image

Step: 3

blur-text-image

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Linear Algebra with Applications

Authors: Steven J. Leon

7th edition

131857851, 978-0131857858

More Books

Students also viewed these Mathematics questions