Refer to the accompanying scatterplot. a. Examine the pattern of all 10 points and subjectively determine whether there appears to be a strong correlation between x and y. b. Find the value of the correlation coefficient r and determine whether there is a linear correlation. c. Remove the point with coordinates (10​,10​) and find the correlation coefficient r and determine whether there is a linear correlation. d. What do you conclude about the possible effect from a single pair of​ values? a. Do the data points appear to have a strong linear​ correlation? b. What is the value of the correlation coefficient for all 10 ndata​ points? Is there a linear correlation between x and​ y? Use α= 0.01. c. What is the correlation coefficient when the point(10​,10​)is​ excluded? Is there a linear correlation between x and​ y? Use α=0.01. d. What do you conclude about the possible effect fr

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 15PPS
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Refer to the accompanying scatterplot. a. Examine the pattern of all 10 points and subjectively determine whether there appears to be a strong correlation between x and y. b. Find the value of the correlation coefficient r and determine whether there is a linear correlation. c. Remove the point with coordinates (10​,10​) and find the correlation coefficient r and determine whether there is a linear correlation. d. What do you conclude about the possible effect from a single pair of​ values?

a. Do the data points appear to have a strong linear​ correlation?

b. What is the value of the correlation coefficient for all 10 ndata​ points?

Is there a linear correlation between x and​ y? Use α= 0.01.

c. What is the correlation coefficient when the point(10​,10​)is​ excluded?

Is there a linear correlation between x and​ y? Use α=0.01.

d. What do you conclude about the possible effect from a single pair of​ values?

Refer to the accompanying scatterplot. a. Examine the pattern of all 10 points and subjectively determine whether there appears to be a strong correlation between x and y. b. Find the value of the correlation coefficient r and determine
whether there is a linear correlation. c. Remove the point with coordinates (10,10) and find the correlation coefficient r and determine whether there is a linear correlation. d. What do you conclude about the possible effect from a single
pair of values?
Click here to view a table of critical values for the correlation coefficient.
10-
0+
10
a. Do the data points appear to have a strong linear correlation?
No
Yes
b. What is the value of the correlation coefficient for all 10 data points?
r= (Simplify your answer. Round to three decimal places as needed.)
Is there a linear correlation between x and y? Use a = 0.01.
O A. Yes, because the correlation coefficient is not in the critical region.
O B. No, because the correlation coefficient is not in the critical region.
O C. No, because the correlation coefficient is in the critical region.
O D. Yes, because the correlation coefficient is in the critical region.
c. What is the correlation coefficient when the point (10 10) is excluded?
Transcribed Image Text:Refer to the accompanying scatterplot. a. Examine the pattern of all 10 points and subjectively determine whether there appears to be a strong correlation between x and y. b. Find the value of the correlation coefficient r and determine whether there is a linear correlation. c. Remove the point with coordinates (10,10) and find the correlation coefficient r and determine whether there is a linear correlation. d. What do you conclude about the possible effect from a single pair of values? Click here to view a table of critical values for the correlation coefficient. 10- 0+ 10 a. Do the data points appear to have a strong linear correlation? No Yes b. What is the value of the correlation coefficient for all 10 data points? r= (Simplify your answer. Round to three decimal places as needed.) Is there a linear correlation between x and y? Use a = 0.01. O A. Yes, because the correlation coefficient is not in the critical region. O B. No, because the correlation coefficient is not in the critical region. O C. No, because the correlation coefficient is in the critical region. O D. Yes, because the correlation coefficient is in the critical region. c. What is the correlation coefficient when the point (10 10) is excluded?
Refer to the accompanying scatterplot. a. Examine the pattern of all 10 points and subjectively determine whether there appears to be a strong correlation between x and y. b. Find the value of the correlation coefficient r and determine
whether there is a linear correlation. c. Remove the point with coordinates (10,10) and find the correlation coefficient r and determine whether there is a linear correlation. d. What do you conclude about the possible effect from a single
pair of values?
Click here to view a table of critical values for the correlation coefficient.
10-
10
c. What is the correlation coefficient when the point (10,10) is excluded?
r= (Round to three decimal places as needed.)
Is there a linear correlation between x and y? Use a = 0.01
O A. Yes, because the correlation coefficient is not in the critical region.
O B. Yes, because the correlation coefficient is in the critical region.
O C. No, because the correlation coefficient is in the critical region.
O D. No, because the correlation coefficient is not in the critical region.
d. What do you conclude about the possible effect from a single pair of values?
The effect from a single pair of values can change the conclusion.
O A single pair of values does not change the conclusion.
Transcribed Image Text:Refer to the accompanying scatterplot. a. Examine the pattern of all 10 points and subjectively determine whether there appears to be a strong correlation between x and y. b. Find the value of the correlation coefficient r and determine whether there is a linear correlation. c. Remove the point with coordinates (10,10) and find the correlation coefficient r and determine whether there is a linear correlation. d. What do you conclude about the possible effect from a single pair of values? Click here to view a table of critical values for the correlation coefficient. 10- 10 c. What is the correlation coefficient when the point (10,10) is excluded? r= (Round to three decimal places as needed.) Is there a linear correlation between x and y? Use a = 0.01 O A. Yes, because the correlation coefficient is not in the critical region. O B. Yes, because the correlation coefficient is in the critical region. O C. No, because the correlation coefficient is in the critical region. O D. No, because the correlation coefficient is not in the critical region. d. What do you conclude about the possible effect from a single pair of values? The effect from a single pair of values can change the conclusion. O A single pair of values does not change the conclusion.
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