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3. In this problem you will perform calculations by hand, do not use the R functions Im() or anova() to find the results. Suppose our sample data consists of the six (x,y) pairs {(2,5), (4,6), (5,5), (7,10), (8,9), (10,13)}. a. Find SST. b. Determine the fitted regression equation for this data, and use it to predict y for x=2, 4, 5, 7, 8, and 10. Find the error associated with each of these predictions. c. Find SSE. d. Use the results from part (a) and (c) to calculate the coefficient of determination. What percentage of the variation in y is explained by the regression?

3. In this problem you will perform calculations by hand, do not use the R functions Im() or anova() to find the results. Suppose our sample data consists of the six (x,y) pairs {(2,5), (4,6), (5,5), (7,10), (8,9), (10,13)}. a. Find SST. b. Determine the fitted regression equation for this data, and use it to predict y for x=2, 4, 5, 7, 8, and 10. Find the error associated with each of these predictions. c. Find SSE. d. Use the results from part (a) and (c) to calculate the coefficient of determination. What percentage of the variation in y is explained by the regression?

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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  1. In this problem you will perform calculations by hand, do not use the R functions lm() or anova() to find the results. Suppose our sample data consists of the six (x,y) pairs {(2,5), (4,6), (5,5), (7,10), (8,9), (10,13)}.
    1. Find
    2. Determine the fitted regression equation for this data, and use it to predict y for x=2, 4, 5, 7, 8, and Find the error associated with each of these predictions.
    3. Find
    4. Use the results from part (a) and (c) to calculate the coefficient of determination. What percentage of the variation in y is explained by the regression?
3. In this problem, you will perform calculations by hand, do not use the R functions lm() or anova() to find the results. Suppose our sample data consists of the six (x, y) pairs {(2, 5), (4, 6), (5, 5), (7, 10), (8, 9), (10, 13)}. a. Find SST. b. Determine the fitted regression equation for this data, and use it to predict y for x=2, 4, 5, 7, 8, and 10. Find the error associated with each of these predictions. c. Find SSE. d. Use the results from part (a) and (c) to calculate the coefficient of determination. What percentage of the variation in y is explained by the regression?
Transcribed Image Text:3. In this problem, you will perform calculations by hand, do not use the R functions lm() or anova() to find the results. Suppose our sample data consists of the six (x, y) pairs {(2, 5), (4, 6), (5, 5), (7, 10), (8, 9), (10, 13)}. a. Find SST. b. Determine the fitted regression equation for this data, and use it to predict y for x=2, 4, 5, 7, 8, and 10. Find the error associated with each of these predictions. c. Find SSE. d. Use the results from part (a) and (c) to calculate the coefficient of determination. What percentage of the variation in y is explained by the regression?
**Problem 3: Regression Analysis by Hand** In this problem, you will perform calculations manually, without using the R functions `lm()` or `anova()` to find the results. Suppose our sample data consists of the six (x, y) pairs \((2, 5), (4, 6), (5, 5), (7, 10), (8, 9), (10, 13)\). a. **Find SST (Total Sum of Squares).** b. **Determine the fitted regression equation** for this data, and use it to predict y for \(x=2, 4, 5, 7, 8, \text{and } 10\). Find the error associated with each of these predictions. c. **Find SSE (Sum of Squared Errors).** d. **Use the results from part (a) and (c) to calculate the coefficient of determination.** What percentage of the variation in y is explained by the regression?
Transcribed Image Text:**Problem 3: Regression Analysis by Hand** In this problem, you will perform calculations manually, without using the R functions `lm()` or `anova()` to find the results. Suppose our sample data consists of the six (x, y) pairs \((2, 5), (4, 6), (5, 5), (7, 10), (8, 9), (10, 13)\). a. **Find SST (Total Sum of Squares).** b. **Determine the fitted regression equation** for this data, and use it to predict y for \(x=2, 4, 5, 7, 8, \text{and } 10\). Find the error associated with each of these predictions. c. **Find SSE (Sum of Squared Errors).** d. **Use the results from part (a) and (c) to calculate the coefficient of determination.** What percentage of the variation in y is explained by the regression?
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