The accompanying data were read from a plot (and are a subset of the complete data set) given in an article. The data represent the mean response times for a group of individuals with closed-head injury (CHI) and a matched control group without head injury on 10 different tasks. Each observation was based on a different study, and used different subjects, so it is reasonable to assume that the observations are independent. Mean Response Time
Study Control CHI
1 250 302
2 360 491
3 475 659
4 610 422
5 525 682

Required:
a. Fit a linear regression model that would allow you to predict the mean response time for those suffering a closed-head injury from the mean response time on the same task for individuals with no head injury.
b. Do the sample data support the hypothesis that there is a useful linear relationship between the mean response time for individuals with no head injury and the mearn response time for individuals with CHI?