Explanation Formula: 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 , 5 ) , ( 4 , 9 ) , ( 5 , 10 ) and ( 6 , 13 ) . Calculation: Calculate the correlation coefficient by using the following computation table. x Y x 2 y 2 x y 3 5 9 25 15 4 9 16 81 36 5 10 25 100 50 6 13 36 169 78 ∑ x = 18 ∑ y = 37 ∑ x 2 = 86 ∑ y 2 = 375 ∑ x y = 179 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 , 5 ) , ( 4 , 9 ) , ( 5 , 10 ) and ( 6 , 13 ) .

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ISBN: 9780134462356

Author: Pirnot

Publisher: PEARSON

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Chapter 14.CR, Problem 19CR

To determine

a)

To calculate:

The correlation coefficient for the points (3,5), (4,9), (5,10) and (6,13).

To determine

b)

To find:

The line of best fit for the points (3,5), (4,9), (5,10) and (6,13).

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Chapter 14.CR, Problem 18CR

Chapter 14.CT, Problem 1CT

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Chapter 14 Solutions

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a) To calculate: The correlation coefficient for the points ( 3 , 5 ) , ( 4 , 9 ) , ( 5 , 10 ) and ( 6 , 13 ) .

Solution Summary: The author calculates the correlation coefficient by using the following computation table.

Concept explainers

Videos

a)

To calculate:

The correlation coefficient for the points (3,5), (4,9), (5,10) and (6,13).

b)

To find:

The line of best fit for the points (3,5), (4,9), (5,10) and (6,13).

Want to see the full answer?

Chapter 14 Solutions

a) To calculate: The correlation coefficient for the points ( 3 , 5 ) , ( 4 , 9 ) , ( 5 , 10 ) and ( 6 , 13 ) .

Solution Summary: The author calculates the correlation coefficient by using the following computation table.

Concept explainers

Videos

a) To calculate: The correlation coefficient for the points (3,5), (4,9), (5,10) and (6,13).

b) To find: The line of best fit for the points (3,5), (4,9), (5,10) and (6,13).

Want to see the full answer?

Chapter 14 Solutions

a)

To calculate:

The correlation coefficient for the points (3,5), (4,9), (5,10) and (6,13).

b)

To find:

The line of best fit for the points (3,5), (4,9), (5,10) and (6,13).