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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 = 14.87 +0.88x. 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 160- x y (p-)2 107.2 110.7 150- 396.0100 457.7032 2.2320 122.0 130.3 140 0.0900 70.0569 65.1249 131.5 122.1 130. 72.2500 0.0001 72.0801 142.5 129.9 120- 93.5089 107.5369 152.5 160.0 0.4900 864.3600 110- 341.1409 119.4649 Send data to Excel 110 150 130 140 150 160 Column sum: 1333.2000 Column sum: 962.4100 Column sum: 366.4388 Figure 1 Answer the following. (a) 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) ▼. (b) The variation in the sample y-values that is explained by the estimated linear relationship between x and y is given by the (Choose one) which for these data is (Choose one) ▼ (c) is the proportion of the total variation in the sample y-values that is explained by the estimated linear The value ² relationship between x and y. For these data, the value of ² is. (Round your answer to at least 2 decimal places.) X ?

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 = 14.87 +0.88x. 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 160- x y (p-)2 107.2 110.7 150- 396.0100 457.7032 2.2320 122.0 130.3 140 0.0900 70.0569 65.1249 131.5 122.1 130. 72.2500 0.0001 72.0801 142.5 129.9 120- 93.5089 107.5369 152.5 160.0 0.4900 864.3600 110- 341.1409 119.4649 Send data to Excel 110 150 130 140 150 160 Column sum: 1333.2000 Column sum: 962.4100 Column sum: 366.4388 Figure 1 Answer the following. (a) 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) ▼. (b) The variation in the sample y-values that is explained by the estimated linear relationship between x and y is given by the (Choose one) which for these data is (Choose one) ▼ (c) is the proportion of the total variation in the sample y-values that is explained by the estimated linear The value ² relationship between x and y. For these data, the value of ² is. (Round your answer to at least 2 decimal places.) X ?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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(Choose one) regression sum of squares total sum of squares error sum of squares (Choose one) 366.4388 962.4100 1333.2000 PhotoGrid
Transcribed Image Text:(Choose one) regression sum of squares total sum of squares error sum of squares (Choose one) 366.4388 962.4100 1333.2000 PhotoGrid
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 = 14.87+0.88x. 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 160+ x y (x-1)² (-5)² (v-^^)² 150+ 107.2 110.7 396.0100 457.7032 2.2320 122.0 130.3 140- 0.0900 70.0569 65.1249 131.5 122.1 130- 72.2500 0.0001 72.0801 142.5 129.9 120. 0.4900 93.5089 107.5369 152.5 160.0 110- 864.3600 341.1409 119.4649 Send data to Excel LL 130 130 140 150 160 Column sum: 1333.2000 Column sum: 962.4100 Column sum: 366.4388 Figure 1 Answer the following. (a) 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) ▼. (b) The variation in the sample y-values that is explained by the estimated linear relationship between x and y is given by the (Choose one) which for these data is (Choose one) ▼ ₂2 (c) 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.) 110 X ?
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 = 14.87+0.88x. 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 160+ x y (x-1)² (-5)² (v-^^)² 150+ 107.2 110.7 396.0100 457.7032 2.2320 122.0 130.3 140- 0.0900 70.0569 65.1249 131.5 122.1 130- 72.2500 0.0001 72.0801 142.5 129.9 120. 0.4900 93.5089 107.5369 152.5 160.0 110- 864.3600 341.1409 119.4649 Send data to Excel LL 130 130 140 150 160 Column sum: 1333.2000 Column sum: 962.4100 Column sum: 366.4388 Figure 1 Answer the following. (a) 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) ▼. (b) The variation in the sample y-values that is explained by the estimated linear relationship between x and y is given by the (Choose one) which for these data is (Choose one) ▼ ₂2 (c) 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.) 110 X ?
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