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The following table contains the age of car x1 (in years) and their selling pric

ID: 2956209 • Letter: T

Question

The following table contains the age of car x1 (in years) and their selling price x2 (in

thousands of dollars).

x1( 3, 5, 5, 7, 7, 7, 8, 9, 10, 11)

x2 (2.3, 1.9, 1, 0.7, 0.3, 1 ,1.05, 0.45, 0.7, 0.3)

(a) Compute the generalized distance for each data point.

(b) Construct the histogram for marginal variables x1 and x2. Are they normally

distributed individually?

(c) Construct the appropriate Q-Q plot for the distance data obtained in (a), does (x1, x2)

follow a normal distribution jointly?

(d) Determine the power transformation for x1 and x2 such that they are marginally

normal.

(Note: You need to construct the relevant Q-Q plots to demonstrate that the

transformed x1 and x2 are normal.)

         

Explanation / Answer

The following table contains the age of car x1 (in years) and their selling pric

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