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Answer the following. (a) The variation in the sample y-values that is not explained by the estimated linear relationship between x and y is given by the (Choose one) which for these data is (Choose one) (b) The value ² 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.) data. The term "best

Answer the following. (a) The variation in the sample y-values that is not explained by the estimated linear relationship between x and y is given by the (Choose one) which for these data is (Choose one) (b) The value ² 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.) data. The term "best

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 7E
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answer options in order of sentence: a) given by the…error sum of squares, regression sum of squares, or total sum of squares which for these data is…2.3511, 14.0520, or 11.6983 c) that minimizes the…error sum of squares, regression sum of squares, or total sum of squares which for these data is 2.3511, 14.0520, or 11.6983
Answer the following. (a) The variation in the sample y-values that is not explained by the estimated linear relationship between x and y is given by the (Choose one) which for these data is (Choose one) (b) (c) The value ² 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.) 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) ▼
Transcribed Image Text:Answer the following. (a) The variation in the sample y-values that is not explained by the estimated linear relationship between x and y is given by the (Choose one) which for these data is (Choose one) (b) (c) The value ² 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.) 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) ▼
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=-0.19 +1.10x. 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 x y 1.6 1.6 3.9 3.0 6.1 1.2 2.1 3.2 3.9 5.2 Send data to Excel Calculations (1-5) ² 4.4521 1.2544 0.0081 0.7396 5.2441 Column sum: 11.6983 (-)2 0.2209 0.2704 0.3249 1.2100 0.3249 Column sum: 2.3511 (x-1)² 2.6896 2.6896 0.4356 0.0576 8.1796 Column sum: 14.0520 4+ 0 Figure 1 ? G 4
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=-0.19 +1.10x. 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 x y 1.6 1.6 3.9 3.0 6.1 1.2 2.1 3.2 3.9 5.2 Send data to Excel Calculations (1-5) ² 4.4521 1.2544 0.0081 0.7396 5.2441 Column sum: 11.6983 (-)2 0.2209 0.2704 0.3249 1.2100 0.3249 Column sum: 2.3511 (x-1)² 2.6896 2.6896 0.4356 0.0576 8.1796 Column sum: 14.0520 4+ 0 Figure 1 ? G 4
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