2. A chemist is interested in investigating the relationship between the reaction time and the yield of a chemical. He conducted 11 experiments with varying reaction time and measured the yield of the chemical. The data obtained are given below:

Reaction time, X: 33 43 43 32 30 43 30 38 40 40 32 Chemical yield, Y: 84 78 84 79 75 75 89 86 87 88 85

(a) Construct a scatter plot for these data. Does the scatter plot indicate that a straight-line would provide a good fit?

(b) Fit a regression line to these data for predicting the chemical yield.

(c) Using (b), record the least-squares estimates of the regression coefficients.