A study was made on the amount of converted sugar in a certainprocess at various temperatures. The data were coded and recordedas follows:
| Temperature, x | converted sugar, y |
| 1 | 8.1 |
| 1.1 | 7.8 |
| 1.2 | 8.5 |
| 1.3 | 9.8 |
| 1.4 | 9.5 |
| 1.5 | 8.9 |
| 1.6 | 8.6 |
| 1.7 | 10.2 |
| 1.8 | 9.3 |
| 1.9 | 9.2 |
| 2 | 10.5 |
a) Estimate the linear regression line.
b) Estimate the mean amount of converted sugar produced when thecoded temperature is 1.75.
c) Plot the residuals versus temperature. Comment.
d) Compute SSE and estimate the variance.
e) Construct a 95% confidence interval for intercept;
f) Construct a 95% confidence interval for slope.
g) Use an ANOVA approach to test the hypothesis that slope = 0against the alternative hypothesis slope ≠0 at the 0.05 level ofsignificance.
