The dean of the Business School at a small Florida college wishes to determine whether the grade-point average (GPA) of a graduating student can be used to predict the graduate's starting salary. More specifically, the dean wants to know whether higher GPAs lead to higher starting salaries. Records for 23 of last year's Business School graduates are selected at random, and data on GPA (
x) and starting salary (
y, in $thousands) for each graduate were used to fit the model
E(y) = β0 + β1x.
The results of the simple linear regression are provided below.
 = 4.25 + 2.75x, | SSxy = 5.15, SSxx = 1.87 |
| | SSyy = 15.17, SSE = 1.0075 |
| Range of the x-values: | 2.23 - 3.85 |
| Range of the y-values: | 9.3 - 15.6 |
Suppose a 95% prediction interval for
y when
x = 3.00 is (16, 21). Interpret the interval.
◦ We are 95% confident that the starting salary of a Business School graduate will increase between $16,000 and $21,000 for every 3-point increase in GPA.
◦ We are 95% confident that the mean starting salary of all Business School graduates with GPAs of 3.00 will fall between $16,000 and $21,000.
◦ We are 95% confident that the starting salary of a Business School graduate will fall between $16,000 and $21,000.
◦ We are 95% confident that the starting salary of a Business School graduate with a GPA of 3.00 will fall between $16,000 and $21,000.
In 1879 an army officer founded the Carlisle School in Pennsylvania to “civilize” young Indians. The
Graduating High School
How to determine an exponential relation from a table of values
Cost of Going to School
Dagny Taggart is a graduating college senior and she is considering the costs of going to ...
Structure of the small intestine.