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.

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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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, H0ρ ≤ 0  ;   H1ρ > 0 conduct correlation and regression analysis by answering the questions below:

  1. Find the value of correlation coefficient (r) :(Round to 3 decimal places)

 

  1. Find the critical value at 0.01 significance level.(Round your answer to 3 decimal places.)
  2. Compute the value of the test statistic.(Round your answer to 3 decimal places.)
  3. What is the decision? (Choose 1 or 2.)
  4. Reject null hypothesis
  5. Do not reject null hypothesis

 

  1. e. What is the conclusion(Choose 1 or 2.)
  2. There is enough evidence to conclude there is a positive correlation between Sales and Number of Years
  3. There is not enough evidence to conclude there is a positive correlation between Sales and Number of Years.

 

  1. What is the regression equation : y= +  x (Round to 2 decimal places)

 

  1. Determine the estimated sales if number of years = 10. (Round to 2 decimal places)
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