The scatterplot below shows the relationship between two random variables X and 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.) --> Please solve only this question #D(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. eDrawInsert* A(BFontVDesign>> Tell meParagraphT4 5 63A2StylesThe scatterplot below shows the relationship between two random variables X and Y.V0000Dictate188go2ShareXEditor0 03OEditingComments(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 5Y?

These are some properties of the correlation coefficient: 1. The value of r is always lie in between…

The scatterplot below shows the relationship between two random variables X and Y. 6 5 t 3 2 2 O 0 8 2 X 3 (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 5Y?

The scatterplot below shows the relationship between two random variables X and Y. 6 5 t 3 2 2 O 0 8 2 X 3 (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 5Y?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section4.5: Correlation And Causation

Problem 24PFA

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Question

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The scatterplot below shows the relationship between two random variables X and 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.) --> Please solve only this question #D

(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.

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The scatterplot below shows the relationship between two random variables X and Y.
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Comments
(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 5Y?

Definition Definition Relationship between two independent variables. A correlation tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

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