This same researcher then selected at random one child from each of the eight families in which there was at least one child. Interested in the effects of number of siblings (X) on happiness of the child (Y) on a scale, assumed to be interval, from 1 (very unhappy) to 10 (very happy), she had these data:
X Y
1………………… 5
0………………… 3
2………………… 4
4………………… 7
2………………… 5
3………………… 9
1………………… 8
1………………… 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 happiness of an only child and of a child with two siblings.
e. Find the coefficients of determination and non-determination. What do they mean?