- 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)}.
- Find
- 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.
- Find
- 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?
Extracted text: 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?
Extracted text: 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?