Roll a fair four-sided die twice. Let X equal the outcome on the first roll, and let Y

Chapter 4, Problem 4.2-3

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QUESTION:

Roll a fair four-sided die twice. Let X equal the outcome on the first roll, and let Y equal the sum of the two rolls. (a) Determine X , Y , 2 X , 2 Y , Cov(X, Y), and . (b) Find the equation of the least squares regression line and draw it on your graph. Does the line make sense to you intuitively?

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QUESTION:

Roll a fair four-sided die twice. Let X equal the outcome on the first roll, and let Y equal the sum of the two rolls. (a) Determine X , Y , 2 X , 2 Y , Cov(X, Y), and . (b) Find the equation of the least squares regression line and draw it on your graph. Does the line make sense to you intuitively?

ANSWER:

Problem 4.2.3

Roll a fair four-sided die twice. Let X equal the outcome on the first roll, and let Y equal the sum of the two rolls.

(a) Determine , Cov(X, Y), and .

(b) Find the equation of the least squares regression line and draw it on your graph. Does the line make sense to you intuitively?

                                                        Step by Step Solution

Step 1 of 5

Part a: The graph is shown below:

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