PERSON X Y 1 4 2 2 9 7 3 3 1 4 5 4 5 4 3 6 8 8 7 7 3 8 9 5 9 7 4 10 5 3 Calculate the Pearson product-moment correlation coefficient between X and Y. Calculate the coefficient of determination.  Interpret the value (i.e., what does it mean?).   Calculate the slope and intercept for the least-squares linear regression equation for predicting Y based on X.  Write the least-squares linear regression equation for predicting Y based on X (using the data above!). Use the least-squares linear regression equation to predict Y for X = 6.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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PERSON

X

Y

1

4

2

2

9

7

3

3

1

4

5

4

5

4

3

6

8

8

7

7

3

8

9

5

9

7

4

10

5

3

  1. Calculate the Pearson product-moment correlation coefficient between X and Y.
  2. Calculate the coefficient of determination.  Interpret the value (i.e., what does it mean?).  
  3. Calculate the slope and intercept for the least-squares linear regression equation for predicting Y based on X. 
  4. Write the least-squares linear regression equation for predicting Y based on X (using the data above!).
  5. Use the least-squares linear regression equation to predict Y for X = 6.
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