Bivariate data obtained for the paired variables x and y are shown below, in the table labelled "Sample data." These data are plotted in the scatter plot Figure 1, which also displays the least-squares regression line for the data. The equation for this line is y = 48.02-0.84x. In the "Calculations" table are calculations involving the observed y values, the mean y of these values, and the values y predicted from the regression equation. Sample data Calculations 2 G- y y-y. 21.4 31.1 12.7021 1.1151 21.3444 24.4 26.2 1.0899 1.7530 0.0784 25.5 26.8 0.0144 0.0400 0.1024 27.7 24.2 2.9860 0.3047 5.1984 11.6145 1.0568 5.6644 29.7 24.1 Column 28.4069 4.2696 32.3880 sums Send data to Excel Figure 1 Answer the following. 図

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For (a) and (c) for the long box with a ? options are : regression sum of squares, error sum of squares, total sum of squares. 

For (a) and (c) for the short box with a ? Options are: 32.3880, 4.2696, 28.4069

Bivariate data obtained for the paired variables x and y are shown below, in the table labelled "Sample data." These data are plotted in the scatter plot in
Figure 1, which also displays the least-squares regression line for the data. The equation for this line is y = 48.02 - 0.84x .
In the "Calculations" table are calculations involving the observed y values, the mean y of these values, and the values y predicted from the regression
equation.
Sample data
Calculations
32
2
y-y.
2
Aa
y
-ソ
-y
30-
21.4
31.1
12.7021
1.1151
21.3444
28-
24.4
26.2
1.0899
1.7530
0.0784
25.5
26.8
0.0144
0.0400
0.1024
26-
24.2
2.9860
0.3047
5.1984
27.7
24+
11.6145
1.0568
5.6644
22
29.7
24.1
Column
28.4069
4.2696
32.3880
sums
22
24
26
28
30
Send data
Figure 1
to Excel
Answer the following.
(a) The total variation in the sample y values is given by the ?
which for these data is?
Accessibility
5:25 PM
Check
© 2020 McGraw-Hill Education. All Rights Reserved. Terms of Use Privacy
Explanation
11/22/2020
hulu
99+
P Search
KI
Transcribed Image Text:Bivariate data obtained for the paired variables x and y are shown below, in the table labelled "Sample data." These data are plotted in the scatter plot in Figure 1, which also displays the least-squares regression line for the data. The equation for this line is y = 48.02 - 0.84x . In the "Calculations" table are calculations involving the observed y values, the mean y of these values, and the values y predicted from the regression equation. Sample data Calculations 32 2 y-y. 2 Aa y -ソ -y 30- 21.4 31.1 12.7021 1.1151 21.3444 28- 24.4 26.2 1.0899 1.7530 0.0784 25.5 26.8 0.0144 0.0400 0.1024 26- 24.2 2.9860 0.3047 5.1984 27.7 24+ 11.6145 1.0568 5.6644 22 29.7 24.1 Column 28.4069 4.2696 32.3880 sums 22 24 26 28 30 Send data Figure 1 to Excel Answer the following. (a) The total variation in the sample y values is given by the ? which for these data is? Accessibility 5:25 PM Check © 2020 McGraw-Hill Education. All Rights Reserved. Terms of Use Privacy Explanation 11/22/2020 hulu 99+ P Search KI
Figure 1
Answer the following.
(a) The total variation in the sample y values is given by the ?
which for these data is ?
2.
(b) The value r is the proportion of the total variation in the sample y values that is
explained by the estimated linear relationship between x and y. For these data, the value
of r is . (Round your answer to at least 2 decimal places.)
(c) The least-squares regression line given above is said to be a line which "best fits" the
sample data. The term "best fits" is used because the line has an equation that
minimizes the ?
which for these data is ?
Transcribed Image Text:Figure 1 Answer the following. (a) The total variation in the sample y values is given by the ? which for these data is ? 2. (b) The value r is the proportion of the total variation in the sample y values that is explained by the estimated linear relationship between x and y. For these data, the value of r is . (Round your answer to at least 2 decimal places.) (c) The least-squares regression line given above is said to be a line which "best fits" the sample data. The term "best fits" is used because the line has an equation that minimizes the ? which for these data is ?
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