Explanation Formula used: The linear correlation coefficient is obtained by using the formula r = n ∑ x y − ( ∑ x ) ( ∑ y ) n ( ∑ x 2 ) − ( ∑ x ) 2 n ( ∑ y 2 ) − ( ∑ y ) 2 , where n is the number of pairs of data of x and y. Given: The points are ( 3 , 6 ) , ( 4 , 8 ) , ( 5 , 7 ) and ( 6 , 10 ) . Calculation: Calculate the correlation coefficient by using the following computation table. x Y x 2 y 2 x y 3 6 9 36 18 4 8 16 64 32 5 7 25 49 35 6 10 36 100 60 ∑ x = 18 ∑ y = 31 ∑ x 2 = 86 ∑ y 2 = 249 ∑ x y = 145 Calculate the correlation coefficient by using formula r = n ∑ x y − ( ∑ x ) ( ∑ To determine b. To find: The line of best fit for the points ( 3 , 6 ) , ( 4 , 8 ) , ( 5 , 7 ) and ( 6 , 10 ) .

6th Edition

ISBN: 9780134434681

Author: Tom Pirnot

Publisher: PEARSON

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Question

Chapter 14.CT, Problem 18CT

To determine

a.

To calculate:

The correlation coefficient for the points (3,6), (4,8), (5,7) and (6,10).

To determine

b.

To find:

The line of best fit for the points (3,6), (4,8), (5,7) and (6,10).

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Chapter 14.CT, Problem 17CT

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Chapter 14 Solutions

Mathematics All Around (6th Edition)

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a. To calculate: The correlation coefficient for the points ( 3 , 6 ) , ( 4 , 8 ) , ( 5 , 7 ) and ( 6 , 10 ) .

a. To calculate: The correlation coefficient for the points (3,6), (4,8), (5,7) and (6,10).

b. To find: The line of best fit for the points (3,6), (4,8), (5,7) and (6,10).

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Chapter 14 Solutions

a.

To calculate:

The correlation coefficient for the points (3,6), (4,8), (5,7) and (6,10).

b.

To find:

The line of best fit for the points (3,6), (4,8), (5,7) and (6,10).