A recent report suggested that older people think more slowly than younger people because they have more information stored in their brains. Because WeStudyEverything wasn't sure regarding the source of the study, they decided to test to see if there is a linear relationship between age and the amount of time that it took to respond to a series of questions on an oral examination. The age of the individuals who took the examination and the total response time for the questions is given in the table below.
|
Age
|
42
|
55
|
21
|
30
|
68
|
15
|
70
|
25
|
22
|
38
|
|
Response time (sec)
|
15
|
17
|
13
|
26
|
28
|
20
|
32
|
18
|
15
|
35
|
a. What hypothesis would you be testing here?
b. What is the critical value if the level of significance is 5%?
c. Calculate the slope and intercept of the regression line.
d. What is the regression equation?
e. If an individual is 61 years old, what is the predicted length of time that it will take them to answer the questions?