MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Midwest Company is studying the relationship between the sales by an employee and the number of years the employee has worked in the company. The data for a random sample of 12 sales representatives of Midwest company is given in the table below:
Number of Years (X) |
3 |
5 |
2 |
8 |
2 |
6 |
7 |
1 |
4 |
2 |
9 |
6 |
Sales |
487 |
445 |
272 |
641 |
187 |
440 |
346 |
238 |
312 |
269 |
655 |
563 |
Given the follwing set of null and alternative hypothesis, H0: ρ ≤ 0 ; H1: ρ > 0 conduct
- Find the value of
correlation coefficient (r) :(Round to 3 decimal places)
- Find the critical value at 0.01 significance level.(Round your answer to 3 decimal places.)
- Compute the value of the test statistic.(Round your answer to 3 decimal places.)
- What is the decision? (Choose 1 or 2.)
- Reject null hypothesis
- Do not reject null hypothesis
- e. What is the conclusion(Choose 1 or 2.)
- There is enough evidence to conclude there is a
positive correlation between Sales and Number of Years - There is not enough evidence to conclude there is a positive correlation between Sales and Number of Years.
- What is the regression equation : y= + x (Round to 2 decimal places)
- Determine the estimated sales if number of years = 10. (Round to 2 decimal places)
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