(a) The total variation in the sample y-values is given by the (Choose one) (Choose one) ▼ error sum of squares total sum of squares regression sum of squares which for these data is (b) The value 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 ² is. (Round your answer to at least 2 decimal places.) (c) The least-squares regression line given above is said to be a line that "best fits" the sample data. The term "best which for these fits" is used because the line has an equation that minimizes the (Choose one) data is (Choose one) ▼ L

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a) which for these data is 32.1470, 42.3520, or 10.0674 c) that minimizes the error sum of squares, total sum of squares, or regression sum of squares…for which these data is 32.1470, 42.3520, or 10.0674
Bivariate data obtained for the paired variables x and y are shown below, in the table labeled "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=49.45-0.91x.
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
y
21.5
31.0
24.3
26.0
25.7
24.3
27.7
26.2
29.6 22.2
x
Send data to Excel
Answer the following.
Calculations
(-)²
15.5630
1.9516
0.0151
2,8798
11.7375
Column sum:
32.1470
(-1)²
1.2432
1.7876
3.1082
3.8298
0.0986
Column sum:
10.0674
(v-y)²
25.6036
0.0036
2.6896
0.0676
13.9876
Column sum:
42.3520
(a) The total variation in the sample y-values is given by the (Choose one)
(Choose one) ▼.
32-
30+
28+
26+
24-
22-
Figure 1
which for these data is
(b)
The value 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 ² is. (Round your answer to at least 2 decimal
places.)
S
?
FRED
1
Transcribed Image Text:Bivariate data obtained for the paired variables x and y are shown below, in the table labeled "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=49.45-0.91x. 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 y 21.5 31.0 24.3 26.0 25.7 24.3 27.7 26.2 29.6 22.2 x Send data to Excel Answer the following. Calculations (-)² 15.5630 1.9516 0.0151 2,8798 11.7375 Column sum: 32.1470 (-1)² 1.2432 1.7876 3.1082 3.8298 0.0986 Column sum: 10.0674 (v-y)² 25.6036 0.0036 2.6896 0.0676 13.9876 Column sum: 42.3520 (a) The total variation in the sample y-values is given by the (Choose one) (Choose one) ▼. 32- 30+ 28+ 26+ 24- 22- Figure 1 which for these data is (b) The value 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 ² is. (Round your answer to at least 2 decimal places.) S ? FRED 1
Answer the following.
(a) The total variation in the sample y-values is given by the (Choose one)
(Choose one)
error sum of squares
total sum of squares
regression sum of squares
▼ which for these data is
(b)
The value 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 ² is. (Round your answer to at least 2 decimal
places.)
(c)
The least-squares regression line given above is said to be a line that "best fits" the sample data. The term "best
fits" is used because the line has an equation that minimizes the (Choose one)
which for these
data is (Choose one) ▼
X
3
Transcribed Image Text:Answer the following. (a) The total variation in the sample y-values is given by the (Choose one) (Choose one) error sum of squares total sum of squares regression sum of squares ▼ which for these data is (b) The value 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 ² is. (Round your answer to at least 2 decimal places.) (c) The least-squares regression line given above is said to be a line that "best fits" the sample data. The term "best fits" is used because the line has an equation that minimizes the (Choose one) which for these data is (Choose one) ▼ X 3
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