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Given are five observations for two variables, and y. Yi The estimated regression equation for these data is ĝ= 0.9 +2.7x. a. Compute SSE, SST, and SSR using the following equations (to 1 decimal). SSE = Σ (y: - 5;) SST = (y₁ - y)² SSR=(:-)² SSE SST SSR b. Compute the coefficient of determination 2 (to 3 decimals). Does this least squares line provide a good fit? Yes, the least squares line provides a very good fit c. Compute the sample correlation coefficient (to 4 decimals). Ti 8 1 4 2 3 7 7 4 5 12 15

Given are five observations for two variables, and y. Yi The estimated regression equation for these data is ĝ= 0.9 +2.7x. a. Compute SSE, SST, and SSR using the following equations (to 1 decimal). SSE = Σ (y: - 5;) SST = (y₁ - y)² SSR=(:-)² SSE SST SSR b. Compute the coefficient of determination 2 (to 3 decimals). Does this least squares line provide a good fit? Yes, the least squares line provides a very good fit c. Compute the sample correlation coefficient (to 4 decimals). Ti 8 1 4 2 3 7 7 4 5 12 15

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.6: Regression And Median-fit Lines
Problem 6PPS
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● > Given are five observations for two variables, and y. Xi Yi The estimated regression equation for these data is ŷ = 0.9 +2.7x. a. Compute SSE, SST, and SSR using the following equations (to 1 decimal). SSE = (3-9)² SST = (y₁ - y)² SSR= -Σ(9:-)² SSE SST SSR b. Compute the coefficient of determination 2 (to 3 decimals). Does this least squares line provide a good fit? Yes, the least squares line provides a very good fit c. Compute the sample correlation coefficient (to 4 decimals). Hide Feedback Partially Correct 1 4 A 2 3 4 5 7 7 12 15 Q Search Hint(s) Check My
Transcribed Image Text:● > Given are five observations for two variables, and y. Xi Yi The estimated regression equation for these data is ŷ = 0.9 +2.7x. a. Compute SSE, SST, and SSR using the following equations (to 1 decimal). SSE = (3-9)² SST = (y₁ - y)² SSR= -Σ(9:-)² SSE SST SSR b. Compute the coefficient of determination 2 (to 3 decimals). Does this least squares line provide a good fit? Yes, the least squares line provides a very good fit c. Compute the sample correlation coefficient (to 4 decimals). Hide Feedback Partially Correct 1 4 A 2 3 4 5 7 7 12 15 Q Search Hint(s) Check My
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