The residents of a housing development for senior citizens have completed a survey in which they indicated how physically active they are and how many visitors they receive each week.
a. Draw a scatterplot.
b. Compute the pearson correlation r.
c. Are these two variables related for the 10 cases reported here?
d. Compute b0 and b1 and find the least-squares regression line.
e. Interpret the r2.
f. Using the least-squares regression line, what would be the predicted number of visitors for a senior citizen whose level of activity was 5? How about a person who scored 18 on level of activity?
g. Referring to item f), is there a problem of predicting number of visitors using the regression line? Explain briefly your answer.
Case Level of Activity Number of Visitors
A 10 14
B 11 12
C 12 10
D 10 9
E 15 8
F 9 7
G 7 10
H 3 15
I 10 12
J 9 2