A communications researcher wanted to measure the effect of television viewing on aggressive behavior. He questioned a random sample of 14 children as to how many hours of television they watch daily (X) and then, as a measure of aggression, observed the number of schoolmates they physically attacked (shoved, pushed, or hit) on the playground during a 15-minute recess (Y). The following results were obtained:
X Y
0…………………………… 0
6…………………………… 3
2…………………………… 2
4…………………………… 3
4…………………………… 4
1…………………………… 1
1…………………………… 0
2…………………………… 3
5…………………………… 3
5…………………………… 2
4…………………………… 3
0…………………………… 1
2…………………………… 3
6 …………………………… 4
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 number of schoolmates attacked by a child who watches television 3 hours daily.
e. Find the coefficients of determination and nondetermination. What do they mean?