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Last two photos are responses to choose for questions #1$#4
Bivariate data obtained for the paired variables x and y are shown below, in the table labelled Sample data. These data are plotted in tho scatter plot in Figure 1, which also displays the least-squares regression line for the data. The equation for this line is y25.35+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 Calculations 215.4 210.7 237.7 251.7 264.3 254.9 274.2 259.1 302.1 321.2 2297.2849 0.7921 2333.3924 547.5600 242.7364 61.1 34.3396 109.8304 21.3444 20 0.1764 2250.5536 202.7776 3004.4224 280.5625 294.8089 Column 5410.3006 850.9454 6270.4880 sums end data Figure 1
Answer the following: 1. The variation in the sample y values that is explained by the estimated linear relationship between x and y is given by the ? which for these data is 2. The proportion of the total variation in the sample y values that can be explained by the estimated linear relationship between x and y is . (Round your answer to at least 2 decimal places.) 3. For the data point (274.2, 259.1), the value of the residual is. (Round your answer to at least 2 decimal places.) 4. 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 2
Figure1 Answer the following: 1. The variation in the sample y values that is explained by the estimated linear relationship between x and y is given by the ? ﹀l, which for these data is 850.9454 6270.4880 5410.3006 on of the total variation in the sample y values that can be explained by the estimated linear relationship between x and y is □. (Round your answer to at least 2 decimal places.) 3. For the data point (274.2, 259.1), the value of the residual is (Round your answer to at least 2 decimal places.) 4. 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 2lY
Figure 1 Answer the following: 1. The variati between x and y is given by the ion in the sample y values that is explained by the estimated linear relationship which for these data is error sum of squares regression sum of squares total sum of squares 2. The proportion of the total variation in the sample y values that can be explained by the estimated linear relationship between x and y is. (Round your answer to at least 2 decimal places.) 3. For the data point (274.2, 259.1), the value of the residual is .(Round your answer to at least 2 decimal places.) 4. 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 2 which for these data is ?
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Answer #1

(1) regression sum of square and 5410.3006

(2) required answer=regression sum of square/total sum of square=5410.3006/6270.4880=0.8628

(3)required answer=sqrt(294.8089)=17.17

(4)error sum of square and 850.9454

regression sum of square=(y^-y-)2=5410.3006

total sum of square=sum(y-y-)2=6270.4880

error sum of square=sum(y-y^)2=5410.3006

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