Answered: Five observations taken for two… | bartleby

Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.5: Graphs Of Functions

Problem 57E

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Question

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Five observations taken for two variables follow.
yi
5
(iii)
50
6 11
40
50
(a) Choose the correct scatter diagram with x on the horizontal axis.
(i)
y
60-
50-
40+
30
20
10-
y
60-
50+
40+
30+
3
60
201
10+
15
30
tin
10
15
(ii)
(iv)
y
60-
50-
40-
30+
20
10-
y
60
50
40+
30-
20
10+
5
10
15

10
15
Graph (ii)
(b) What does the scatter diagram indicate about the relationship between the two variables?
♡
5
10
Negative linear
(c) Compute the sample covariance. If needed, round your answer to one decimal digit. If your answer is negative use "minus sign."
✔ relationship between the two variables. The sample correlation coefficient can
15
Interpret the sample covariance.
There is a negative linear ✓ ✔ relationship between the two variables. Based on the sample covariance, the strength of this relationship cannot be determined
(d) Compute the sample correlation coefficient. If needed, round your answer to three decimal digits. If your answer is negative use "minus sign."
*
Interpret the sample correlation coefficient.
There is a strong negative linear ✔
determine the strength of the relationship.

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