Crime-related television shows and movies often paint a picture in which police must go “above the law” to catch criminals, implying that to do their jobs the police must circumvent the court’s strict rules protecting offenders’ civil liberties. Do people who watch these programs come to view the government as being too protective of criminals/ rights? To find out, a researcher selected a random sample of people, and asked them (X) how many hours of crime-related television they watch per week and (Y) the extent to which they agree with a statement that the government is too protective of criminals’ rights (measured on a scale from 1 to 9, with 1 being “strongly disagree” and 9 being “strongly agree”). The following data were recorded:
X Y
2.0……………………… 3
5.5……………………… 4
9.5……………………… 6
12.0……………………… 8
0.0……………………… 1
10.5……………………… 9
1.5……………………… 2
3.0……………………… 3
2.0……………………… 3
a. Draw a scatter plot of the data.
b. Calculate the regression slope and Y-intercept.
c. Draw the regression line on the scatter plot.
d. Predict the attitude toward the government of someone who watches 7.5 hours of crime-related television per week.
e. Find the coefficients of determination and non-determination. What do they mean?