Could you please show details not just answers The following

Could you please show details? not just answers

The following scatterplot shows the relationship between expense per admission and length of stay for community hospitals in the 50 states and District of Columbia (i.e., a total of 51 observations. The least squares regression line, 95% confidence intervals for the line, and 95% prediction intervals have been added.

Figure 1.

A summary of the fitted regression line is as follows:

a) What are the estimated slope and intercept of the least squares regression line?

b) Construct a 95% confidence interval for the true slope of the regression line.

c) Test the null hypothesis that the true slope is zero against the alternative that the slope is not zero at the 5% level.

d) From the scatterplot, guess at a 95% confidence interval for the mean expense per admission at six days length of stay.

e) From the scatterplot, guess at a 95% prediction interval for a future expense at six days length of stay.

f) Name the three regression assumptions that are checked by residual plots.

g) Based on the following residual plots, comment on the plausibility of these three assumptions. Your answer should be one or two sentences long

Figure 2

Figure 3

Solution