The sweetness, y, of the candy, is supposed to be related to the average hours it cools, x. The following data shows the sweetness of the same type of candy at different locations (cool hours). Fit the data to a simple linear regression model. x: 5, 6, 7, 6, 6, 8, 7, 5. y: 9, 10, 10, 11, 12, 13, 12, 8. Please let me know how to do the following, I am struggling to figure it out. a. Calculate Sxy,Sxx,Syy and the correlation between x, y to interpret their relationship. b. Find the estimated regression line, and interpret the intercept and slope. c. Calculate SSE, , SST, σ^2, R^2, and interpret R^2.
The sweetness, y, of the candy, is supposed to be related to the average hours it cools, x. The following data shows the sweetness of the same type of candy at different locations (cool hours). Fit the data to a simple linear regression model. x: 5, 6, 7, 6, 6, 8, 7, 5. y: 9, 10, 10, 11, 12, 13, 12, 8. Please let me know how to do the following, I am struggling to figure it out. a. Calculate Sxy,Sxx,Syy and the correlation between x, y to interpret their relationship. b. Find the estimated regression line, and interpret the intercept and slope. c. Calculate SSE, , SST, σ^2, R^2, and interpret R^2.
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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The sweetness, y, of the candy, is supposed to be related to the average hours it cools, x. The following data shows the sweetness of the same type of candy at different locations (cool hours). Fit the data to a simple linear regression model.
x: 5, 6, 7, 6, 6, 8, 7, 5.
y: 9, 10, 10, 11, 12, 13, 12, 8.
Please let me know how to do the following, I am struggling to figure it out.
a. Calculate Sxy,Sxx,Syy and the
b. Find the estimated regression line, and interpret the intercept and slope.
c. Calculate SSE, , SST, σ^2, R^2, and interpret R^2.
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VIEWStep 2: Calculate the summations
VIEWStep 3: Find Sxy, Sxx, and Syy
VIEWStep 4: Find correlation coefficient
VIEWStep 5: Find the estimated regression line, and interpret the intercept and slope.
VIEWStep 6: Find SST, SSE, σ^2
VIEWStep 7: Calculate R^2 and interpret
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