ХА УА xB yB xC ус xD yD 10 8.04 10 9.14 10 7.46 00 8 6.58 8 6.95 8 8.14 8 6.77 8 5.76 13 7.58 13 8.74 13 12.74 8 7.71 9 8.81 9 8.77 9 7.11 8 8.84 11 8.33 11 9.26 11 7.81 8 8.47 14 9.96 14 8.1 14 8.84 8 7.04 6 7.24 6 6.13 6 6.08 8 5.25 4 4.26 4 3.1 4 5.39 8 5.56 12 10.84 12 9.13 12 8.15 8 7.91 7 4.82 7 7.26 7 6.42 8 6.89 5 5.68 5 4.74 5 5.73 19 12.5 (IN SAS) The data set named "Always Plot your Data" contains four pairs of variables that illustrate the dangers of calculating correlation coefficients and regression equations without first plotting the data. The four pairs of variables are: (XA, YA), (XB, XB), (xC, XC), (xD, yD). In each pair, consider the first variable the explanatory variable and the second the response variable. a. For each of the four pairs of variables, find the (i) the correlation coefficient, (ii) regression equation, and (iii) predicted response when the explanatory variable equals 10. In your solutions document, list the four correlation coefficients together, the four regression equations together, and the four predicted responses together. State the values exactly as they appear in the output; do not round. What do you notice? (Do not include ALL of the output. Just list the correlation coefficients, regression equations, and predicted response taken from the output.) b. For each pair of variables, make a fitted line plot (i.e., a scatterplot overlaid with the regression line). (Note: For this part, you will be copying four graphs from into your solutions document.) c. For each of the four pairs of variables, state whether or not you would be willing to use the regression line to describe the dependence of y on x. Explain your yes or no answer for each pair of variables using the results from part (a) and part (b).
ХА УА xB yB xC ус xD yD 10 8.04 10 9.14 10 7.46 00 8 6.58 8 6.95 8 8.14 8 6.77 8 5.76 13 7.58 13 8.74 13 12.74 8 7.71 9 8.81 9 8.77 9 7.11 8 8.84 11 8.33 11 9.26 11 7.81 8 8.47 14 9.96 14 8.1 14 8.84 8 7.04 6 7.24 6 6.13 6 6.08 8 5.25 4 4.26 4 3.1 4 5.39 8 5.56 12 10.84 12 9.13 12 8.15 8 7.91 7 4.82 7 7.26 7 6.42 8 6.89 5 5.68 5 4.74 5 5.73 19 12.5 (IN SAS) The data set named "Always Plot your Data" contains four pairs of variables that illustrate the dangers of calculating correlation coefficients and regression equations without first plotting the data. The four pairs of variables are: (XA, YA), (XB, XB), (xC, XC), (xD, yD). In each pair, consider the first variable the explanatory variable and the second the response variable. a. For each of the four pairs of variables, find the (i) the correlation coefficient, (ii) regression equation, and (iii) predicted response when the explanatory variable equals 10. In your solutions document, list the four correlation coefficients together, the four regression equations together, and the four predicted responses together. State the values exactly as they appear in the output; do not round. What do you notice? (Do not include ALL of the output. Just list the correlation coefficients, regression equations, and predicted response taken from the output.) b. For each pair of variables, make a fitted line plot (i.e., a scatterplot overlaid with the regression line). (Note: For this part, you will be copying four graphs from into your solutions document.) c. For each of the four pairs of variables, state whether or not you would be willing to use the regression line to describe the dependence of y on x. Explain your yes or no answer for each pair of variables using the results from part (a) and part (b).
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Matrices
Section2.CR: Review Exercises
Problem 90CR
Related questions
Question
Transcribed Image Text:ХА
УА
xB
yB
xC
ус
xD
yD
10
8.04
10
9.14
10
7.46
00
8
6.58
8
6.95
8
8.14
8
6.77
8
5.76
13
7.58
13
8.74
13
12.74
8
7.71
9
8.81
9
8.77
9
7.11
8
8.84
11
8.33
11
9.26
11
7.81
8
8.47
14
9.96
14
8.1
14
8.84
8
7.04
6
7.24
6
6.13
6
6.08
8
5.25
4
4.26
4
3.1
4
5.39
8
5.56
12
10.84
12
9.13
12
8.15
8
7.91
7
4.82
7
7.26
7
6.42
8
6.89
5
5.68
5
4.74
5
5.73
19
12.5
Transcribed Image Text:(IN SAS) The data set named "Always Plot your Data" contains four pairs of variables
that illustrate the dangers of calculating correlation coefficients and regression equations
without first plotting the data. The four pairs of variables are: (XA, YA), (XB, XB), (xC,
XC), (xD, yD). In each pair, consider the first variable the explanatory variable and the
second the response variable.
a. For each of the four pairs of variables, find the (i) the correlation coefficient, (ii)
regression equation, and (iii) predicted response when the explanatory variable
equals 10. In your solutions document, list the four correlation coefficients
together, the four regression equations together, and the four predicted responses
together. State the values exactly as they appear in the output; do not round.
What do you notice? (Do not include ALL of the output. Just list the correlation
coefficients, regression equations, and predicted response taken from the output.)
b. For each pair of variables, make a fitted line plot (i.e., a scatterplot overlaid with
the regression line). (Note: For this part, you will be copying four graphs from
into your solutions document.)
c. For each of the four pairs of variables, state whether or not you would be willing
to use the regression line to describe the dependence of y on x. Explain your yes
or no answer for each pair of variables using the results from part (a) and part (b).
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