In: Statistics and Probability
The data below are the temperatures on randomly chosen days during the summer and the number of employee absences at a local company on those days.
Temperature,x: 72,85, 91, 90, 88, 98, 75, 100, 80
Number of absences, y: 3, 7, 10, 10 8, 15, 4, 15, 5
A) Find the residual when temperature is 98. Analyze the result.
B) Test the claim, at the α = 0.05 level of significance, that a linear relation exists between the temperature and number of absences. Apply classical approach and p-value approach.
(c) Find 95 % confidence interval about the slope for the true least-square regression line. Interpret the result.