The following data shows the retail price for 12 randomly selected laptop computers along with their corresponding processor speeds.
computers speed price $
1 2 2,689
2 1.6 1,229
3 1.6 1,419
4 1.8 2,589
5 2 2,849
6 1.2 1,349
7 2 2,929
8 1.6 1,849
9 2 2,819
10 1.6 2,669
11 1 1,249
12 1.4 1,159
a. Develop a linear equation that can be used to describe how the price depends on the processor speed.
b. Based on your regression equation, is there one machine that seems particularly over- or underpriced?
c. Compute the correlation coefficient between the two variables. At the .05 significance level conduct a test of hypothesis to determine if the population correlation could be greater than zero.
d. Draw a box plot reflecting how the price depends on the processor speed.