Homework Help is Here – Start Your Trial Now!
Math
Statistics
The table presents four sets of data prepared by the statistician Frank Anscombe to illustrate the dangers of calculating without first plotting the data. Four Data Sets For Exploring Correlation and Regression Data Set A  xx   1010   88   1313   99   1111   1414   66   44   1212   77   55   yy   8.048.04   6.956.95   7.587.58   8.818.81   8.338.33   9.969.96   7.247.24   4.264.26   10.8410.84   4.824.82   5.685.68  Data Set B  xx   1010   88   1313   99   1111   1414   66   44   1212   77   55   yy   9.149.14   8.148.14   8.748.74   8.778.77   9.269.26   8.108.10   6.136.13   3.103.10   9.139.13   7.267.26   4.744.74  Data Set C  xx   1010   88   1313   99   1111   1414   66   44   1212   77   55   yy   7.467.46   6.776.77   12.7412.74   7.117.11   7.817.81   8.848.84   6.086.08   5.395.39   8.158.15   6.426.42   5.735.73  Data Set D  xx   88   88   88   88   88   88   88   88   88   88   1919   yy   6.586.58   5.765.76   7.717.71   8.848.84   8.478.47   7.047.04   5.255.25   5.565.56   7.917.91   6.896.89   12.5012.50  To access the complete data sets, click the link for your preferred software format: Data Set AA Excel  Minitab  JMP  SPSS TI  R  Mac-TXT   PC-TXT  CSV  CrunchIt! Data Set BB Excel  Minitab  JMP  SPSS TI  R  Mac-TXT   PC-TXT  CSV  CrunchIt! Data Set CC Excel  Minitab  JMP  SPSS TI  R  Mac-TXT   PC-TXT  CSV  CrunchIt! Data Set DD Excel  Minitab  JMP  SPSS TI  R  Mac-TXT   PC-TXT  CSV  CrunchIt! (a) Without making scatterplots, find the correlation, to three decimal places, for all four data sets. Fill in the blanks for the value of the correlation for Set A,A, for the value of the correlation for Set B,B, for the value of the correlation for Set C,C, and for the value of the correlation for Set D,D, respectively. (Enter your answers rounded to three decimal places.) rSet A=rSet A=     rSet B=rSet B=     rSet C=rSet C=     rSet D=rSet D=     Without making scatterplots, find the least‑squares regression line for all four data sets. What do you notice about the least-squares regression lines? Choose the correct answer. The least‑squares regression lines are approximately the same for all four data sets. The least‑squares regression lines for Data Sets BB and CC are the same, but different from Data Sets AA and D.D. The least‑squares regression line for each data set is markedly different. The least‑squares regression lines for Data Sets AA and CC are the same, but different from Data Sets BB and D.D. Use the regression line to predict ^yy^ for x=10.x=10. (Enter your answer rounded to a whole number.) ^y=y^=     (b) Make a scatterplot for each of the data sets, and add the regression line to each plot. Select the correct set of a scatterplots with regression lines for Set A,A, Set B,B, Set C,C, and Set D,D, respectively.         (c) In which of the four cases would you be willing to use the regression line to describe the dependence of yy on x?x? Set BB Set CC Set AA Set DD

The table presents four sets of data prepared by the statistician Frank Anscombe to illustrate the dangers of calculating without first plotting the data. Four Data Sets For Exploring Correlation and Regression Data Set A  xx   1010   88   1313   99   1111   1414   66   44   1212   77   55   yy   8.048.04   6.956.95   7.587.58   8.818.81   8.338.33   9.969.96   7.247.24   4.264.26   10.8410.84   4.824.82   5.685.68  Data Set B  xx   1010   88   1313   99   1111   1414   66   44   1212   77   55   yy   9.149.14   8.148.14   8.748.74   8.778.77   9.269.26   8.108.10   6.136.13   3.103.10   9.139.13   7.267.26   4.744.74  Data Set C  xx   1010   88   1313   99   1111   1414   66   44   1212   77   55   yy   7.467.46   6.776.77   12.7412.74   7.117.11   7.817.81   8.848.84   6.086.08   5.395.39   8.158.15   6.426.42   5.735.73  Data Set D  xx   88   88   88   88   88   88   88   88   88   88   1919   yy   6.586.58   5.765.76   7.717.71   8.848.84   8.478.47   7.047.04   5.255.25   5.565.56   7.917.91   6.896.89   12.5012.50  To access the complete data sets, click the link for your preferred software format: Data Set AA Excel  Minitab  JMP  SPSS TI  R  Mac-TXT   PC-TXT  CSV  CrunchIt! Data Set BB Excel  Minitab  JMP  SPSS TI  R  Mac-TXT   PC-TXT  CSV  CrunchIt! Data Set CC Excel  Minitab  JMP  SPSS TI  R  Mac-TXT   PC-TXT  CSV  CrunchIt! Data Set DD Excel  Minitab  JMP  SPSS TI  R  Mac-TXT   PC-TXT  CSV  CrunchIt! (a) Without making scatterplots, find the correlation, to three decimal places, for all four data sets. Fill in the blanks for the value of the correlation for Set A,A, for the value of the correlation for Set B,B, for the value of the correlation for Set C,C, and for the value of the correlation for Set D,D, respectively. (Enter your answers rounded to three decimal places.) rSet A=rSet A=     rSet B=rSet B=     rSet C=rSet C=     rSet D=rSet D=     Without making scatterplots, find the least‑squares regression line for all four data sets. What do you notice about the least-squares regression lines? Choose the correct answer. The least‑squares regression lines are approximately the same for all four data sets. The least‑squares regression lines for Data Sets BB and CC are the same, but different from Data Sets AA and D.D. The least‑squares regression line for each data set is markedly different. The least‑squares regression lines for Data Sets AA and CC are the same, but different from Data Sets BB and D.D. Use the regression line to predict ^yy^ for x=10.x=10. (Enter your answer rounded to a whole number.) ^y=y^=     (b) Make a scatterplot for each of the data sets, and add the regression line to each plot. Select the correct set of a scatterplots with regression lines for Set A,A, Set B,B, Set C,C, and Set D,D, respectively.         (c) In which of the four cases would you be willing to use the regression line to describe the dependence of yy on x?x? Set BB Set CC Set AA Set DD

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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 11PPS
See similar textbooks
icon
Related questions
icon
Concept explainers
Question
The table presents four sets of data prepared by the statistician Frank Anscombe to illustrate the dangers of calculating without first plotting the data.
Four Data Sets For Exploring Correlation and Regression
Data Set A
 xx   1010   88   1313   99   1111   1414   66   44   1212   77   55 
 yy   8.048.04   6.956.95   7.587.58   8.818.81   8.338.33   9.969.96   7.247.24   4.264.26   10.8410.84   4.824.82   5.685.68 
Data Set B
 xx   1010   88   1313   99   1111   1414   66   44   1212   77   55 
 yy   9.149.14   8.148.14   8.748.74   8.778.77   9.269.26   8.108.10   6.136.13   3.103.10   9.139.13   7.267.26   4.744.74 
Data Set C
 xx   1010   88   1313   99   1111   1414   66   44   1212   77   55 
 yy   7.467.46   6.776.77   12.7412.74   7.117.11   7.817.81   8.848.84   6.086.08   5.395.39   8.158.15   6.426.42   5.735.73 
Data Set D
 xx   88   88   88   88   88   88   88   88   88   88   1919 
 yy   6.586.58   5.765.76   7.717.71   8.848.84   8.478.47   7.047.04   5.255.25   5.565.56   7.917.91   6.896.89   12.5012.50 

To access the complete data sets, click the link for your preferred software format:

Data Set AA

Excel  Minitab  JMP  SPSS TI  R  Mac-TXT   PC-TXT  CSV  CrunchIt!

Data Set BB

Excel  Minitab  JMP  SPSS TI  R  Mac-TXT   PC-TXT  CSV  CrunchIt!

Data Set CC

Excel  Minitab  JMP  SPSS TI  R  Mac-TXT   PC-TXT  CSV  CrunchIt!

Data Set DD

Excel  Minitab  JMP  SPSS TI  R  Mac-TXT   PC-TXT  CSV  CrunchIt!

(a) Without making scatterplots, find the correlation, to three decimal places, for all four data sets. Fill in the blanks for the value of the correlation for Set A,A, for the value of the correlation for Set B,B, for the value of the correlation for Set C,C, and for the value of the correlation for Set D,D, respectively. (Enter your answers rounded to three decimal places.)
rSet A=rSet A=
 
 
rSet B=rSet B=
 
 
rSet C=rSet C=
 
 
rSet D=rSet D=
 
 
Without making scatterplots, find the least‑squares regression line for all four data sets. What do you notice about the least-squares regression lines? Choose the correct answer.
The least‑squares regression lines are approximately the same for all four data sets.
The least‑squares regression lines for Data Sets BB and CC are the same, but different from Data Sets AA and D.D.
The least‑squares regression line for each data set is markedly different.
The least‑squares regression lines for Data Sets AA and CC are the same, but different from Data Sets BB and D.D.
Use the regression line to predict ^yy^ for x=10.x=10. (Enter your answer rounded to a whole number.)
^y=y^=
 
 
(b) Make a scatterplot for each of the data sets, and add the regression line to each plot. Select the correct set of a scatterplots with regression lines for Set A,A, Set B,B, Set C,C, and Set D,D, respectively.
 
 
 
 
(c) In which of the four cases would you be willing to use the regression line to describe the dependence of yy on x?x?
Set BB
Set CC
Set AA
Set DD
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 8 steps with 11 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Correlation, Regression, and Association
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
SEE MORE TEXTBOOKS