The following correlation coefficients, ( r values), and P -values were generate

Question

The following correlation coefficients, (r values), and P-values were generated with Minitab.

Each of the columns X1, X2, X3, X4, Y1, Y2, Y3, and Y4 have the same number of data items in them.

Correlation of X1 and Y1 = - 0.998, P-value = 0.000

Correlation of X2 and Y2 = 0.471, P-value = 0.169

Correlation of X3 and Y3 = 0.856, P-value = 0.002

Correlation of X4 and Y4 = - 0.662, P-value = 0.037

Use this information to answer each question that follows.

a. The strongest association is between which pair of variables?

Underline one:

i. X1 and Y1     ii. X2 and Y2     iii. X3 and Y3     iv. X4 and Y4

b. The weakest correlation exists between which pair of variables?

Underline one:

i. X1 and Y1     ii. X2 and Y2     iii. X3 and Y3     iv. X4 and Y4

c. The relationship between X3 and Y3 is _________?

Underline one:

i. positve     ii. negative

d. There is a stronger correlation between X4 and Y4 than between X3 and Y3?

Underline one:

i. true     ii. false

e. For which pair would it not be appropriate to perform regression analysis to produce the equation of the "line of best fit" for the relationship, as indicated by the P-value?

Underline one:

i. X1 and Y1     ii. X2 and Y2     iii. X3 and Y3      iv. X4 and Y4

Explanation / Answer

A) THE STRONGEST ASSOCIATION MEANS THAT THE VALUE SHOULD BE CLOSE TO -1 AOR +1

SO ACCORDINGLE THE HIGHEST ASSOCIATION IS X1 AND Y1

B) THE WEAK ASSOCIATION MEANS THAT THE VALUE SHOULD BE IN -0.3 TO -0.1 AND +0.1 TO +0.3

SO ACCORDINGLY THE WEAK ASSOCIATION = X2 AND Y2

C) AS THE CORRELATION IS POSITIVE THE RELATION IS ALSO POSITIVE

D)AS X3 IS MORE CLOSER TO 1 THEN X4 TO -1 THEREFORE X3 AND Y3 IS MORE STRONGER HENCE THE STATEMENT IS FALSE.

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