Scenario 2: This scenario is continued from Scenario 1. We no longer assume that we know the true values of the population parameters. Instead, suppose we take a sample of size n = 5 and estimate ₀ and ₁ using R.

> height father man 1 67 70.0 2 73 70.5 3 71 71.0 4 68 71.7 5 68 67.5 > model = lm( man ~ father, data = height ) > coef(model) (Intercept) father 57.7 0.179

The estimated intercept is b₀ = 57.7, and the estimated slope is b₁ = 0.179. All numeric answers must be rounded to three decimal places. (Do not round until the final answer.)

1) Using the calculated regression line based on the data, calculate the predicted height for the first man whose father's height is 67 inches tall.

2)Calculate the residual for the first man whose father's height is67 inches tall.