Hi, it's my understanding that the relationship between X and Y changes for different values of X, but I'm not sure if this curved relationship is an objectively good metric. I would greatly appreciate your help, especially with parts a and c. 7. The scatterplot below shows the relationship between two random variables X and Y.Y9(O5432OL0OO12X00°Ooo3O(a) Is the correlation a good metric for describing the relationship between X and Y for these data? Why or why not?(b) Regardless of your answer to part (a), suppose you calculated the sample correlation between X and Y and foundthat r = -0.15. Explain in one sentence what this means.(c) If, as noted in (b), r = -0.15 then what is the value of the correlation between 2X and 5 Y?(d) Based on (b) draw your best approximation to the least squares regression line that fits the data above. Also, make arough sketch of the corresponding residual plot. (The sketches do not have to be beautiful but they have to coveythe correct information.)

Given:- The correlation a good metric for describing the relationship between X and Y…

Hi, it's my understanding that the relationship between X and Y changes for different values of X, but I'm not sure if this curved relationship is an objectively good metric. I would greatly appreciate your help, especially with parts a and c.

Hi, it's my understanding that the relationship between X and Y changes for different values of X, but I'm not sure if this curved relationship is an objectively good metric. I would greatly appreciate your help, especially with parts a and c.

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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Question

100%

7. The scatterplot below shows the relationship between two random variables X and Y.
Y
9
(O
5
4
3
2
OL
0
OO
1
2
X
00°
O
oo
3
O
(a) Is the correlation a good metric for describing the relationship between X and Y for these data? Why or why not?
(b) Regardless of your answer to part (a), suppose you calculated the sample correlation between X and Y and found
that r = -0.15. Explain in one sentence what this means.
(c) If, as noted in (b), r = -0.15 then what is the value of the correlation between 2X and 5 Y?
(d) Based on (b) draw your best approximation to the least squares regression line that fits the data above. Also, make a
rough sketch of the corresponding residual plot. (The sketches do not have to be beautiful but they have to covey
the correct information.)

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