The following data are based on information from the Harvard Business Review (Vol. 72, No. 1). Let
Question:
Complete parts (a) through (e), given x = 90, y = 8.1, x2 = 1420, y2 = 11.83, xy = 113.8, and r 0.973.
(a) Draw a scatter diagram displaying the data.
(b) Verify the given sums x, y, x2, y2, and xy and the value of the sample correlation coefficient r.
(c) Find x, y, a, and b. Then find the equation of the least-squares line ŷ = α + bx.
(e) Find the value of the coefficient of determination r2. What percentage of the variation in y can be explained by the corresponding variation in x and the least-squares line? What percentage is unexplained?
(f) Suppose a pharmaceutical company has 15 different research programs. What does the least-squares equation forecast for y = mean number of patents per program?
Step by Step Answer:
Understanding Basic Statistics
ISBN: 9781111827021
6th Edition
Authors: Charles Henry Brase, Corrinne Pellillo Brase