Use the given data set to complete parts (a) through (c) below. (Use alphaαequals=0.05.) x 10 8 13 9 11 14 6 4 12 7 5 y 9.13 8.13 8.75 8.77 9.25 8.11 6.12 3.11 9.13 7.26 4.74 .a. Construct a scatterplot. b. Find the linear correlation coefficient, r, then determine whether there is sufficient evidence to support the claim of a linear correlation between the two variables. The linear correlation coefficient is requals=nothing. (Round to three decimal places as needed.) Using the linear correlation coefficient found in the previous step, determine whether there is sufficient evidence to support the claim of a linear correlation between the two variables. Choose the correct answer below. A. There is sufficientsufficient evidence to support the claim of a nonlinear correlation between the two variables. B. There is insufficientinsufficient evidence to support the claim of a nonlinear correlation between the two variables. C. There is insufficientinsufficient evidence to support the claim of a linear correlation between the two variables. D. There is sufficientsufficient evidence to support the claim of a linear correlation between the two variables. c. Identify the feature of the data that would be missed if part (b) was completed without constructing the scatterplot. Choose the correct answer below. A. The scatterplot does not reveal a distinct pattern. B. The scatterplot reveals a distinct pattern that is not a straight-line pattern. C. The scatterplot reveals a distinct pattern that is a straight-line pattern with negative slope. D. The scatterplot reveals a distinct pattern that is a straight-line pattern with positive slope.
Use the given data set to complete parts (a) through (c) below. (Use alphaαequals=0.05.) x 10 8 13 9 11 14 6 4 12 7 5 y 9.13 8.13 8.75 8.77 9.25 8.11 6.12 3.11 9.13 7.26 4.74 .a. Construct a scatterplot. b. Find the linear correlation coefficient, r, then determine whether there is sufficient evidence to support the claim of a linear correlation between the two variables. The linear correlation coefficient is requals=nothing. (Round to three decimal places as needed.) Using the linear correlation coefficient found in the previous step, determine whether there is sufficient evidence to support the claim of a linear correlation between the two variables. Choose the correct answer below. A. There is sufficientsufficient evidence to support the claim of a nonlinear correlation between the two variables. B. There is insufficientinsufficient evidence to support the claim of a nonlinear correlation between the two variables. C. There is insufficientinsufficient evidence to support the claim of a linear correlation between the two variables. D. There is sufficientsufficient evidence to support the claim of a linear correlation between the two variables. c. Identify the feature of the data that would be missed if part (b) was completed without constructing the scatterplot. Choose the correct answer below. A. The scatterplot does not reveal a distinct pattern. B. The scatterplot reveals a distinct pattern that is not a straight-line pattern. C. The scatterplot reveals a distinct pattern that is a straight-line pattern with negative slope. D. The scatterplot reveals a distinct pattern that is a straight-line pattern with positive slope.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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Topic Video
Question
Use the given data set to complete parts (a) through (c) below. (Use
alphaαequals=0.05.)
|
x
|
10
|
8
|
13
|
9
|
11
|
14
|
6
|
4
|
12
|
7
|
5
|
|
|---|---|---|---|---|---|---|---|---|---|---|---|---|
|
y
|
9.13
|
8.13
|
8.75
|
8.77
|
9.25
|
8.11
|
6.12
|
3.11
|
9.13
|
7.26
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4.74
|
.a. Construct a
b. Find the linear correlation coefficient, r, then determine whether there is sufficient evidence to support the claim of a linear correlation between the two variables.
The linear correlation coefficient is
requals=nothing.
(Round to three decimal places as needed.)
Using the linear correlation coefficient found in the previous step, determine whether there is sufficient evidence to support the claim of a linear correlation between the two variables. Choose the correct answer below.
There is
sufficientsufficient
evidence to support the claim of a nonlinear correlation between the two variables.There is
insufficientinsufficient
evidence to support the claim of a nonlinear correlation between the two variables.There is
insufficientinsufficient
evidence to support the claim of a linear correlation between the two variables.There is
sufficientsufficient
evidence to support the claim of a linear correlation between the two variables.c. Identify the feature of the data that would be missed if part (b) was completed without constructing the scatterplot. Choose the correct answer below.
The scatterplot does not reveal a distinct pattern.
The scatterplot reveals a distinct pattern that is not a straight-line pattern.
The scatterplot reveals a distinct pattern that is a straight-line pattern with negative slope.
The scatterplot reveals a distinct pattern that is a straight-line pattern with positive slope.
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