In: Statistics and Probability
A substance used in biological and medical research is shipped by air-freight to users in cartons of 1,000 ampules. The data below, involving 10 shipments, were collected on the number of times the carton was transferred from one aircraft to another over the shipment route (X) and the number of ampules found to be broken upon arrival (Y).
X | Y |
1 | 16 |
0 | 9 |
2 | 17 |
0 | 12 |
3 | 20 |
1 | 13 |
0 | 8 |
1 | 15 |
2 | 19 |
0 | 11 |
a. Calculate the regression slope and Y-intercept.
b. What is the predicted regression equation?
c. Interpret the slope in context. Does the Y-intercept make sense?
If so, please interpret it. d. Draw a scatterplot and the predicted
regression line.
e. What is the expected number of broken ampules when the times of
transfer is 2?
f. Find the coefficients of determination. What does it mean?