It is commonly recognized that a poor environment (for example, poverty, low educational level of parents) and the presence of stressors (for example divorce of parents, abuse) are associated with lower IQs in children. Recent research indicates that a child's IQ is related to the number of such risk factors in the children's background, regardless of which specific factors are present. Below are the numbers of risk factors and the IQs of 12 children.
Child
Risk factors (x)
IQ (y)
A
3
112
B
6
82
C
0
105
D
5
102
E
1
115
F
1
101
G
5
94
H
4
89
I
3
98
J
3
109
K
4
91
L
2
107
A. Draw a scatterplot of the data. What does the plot tell you? Determine the regression equation. Be sure to include an interpretation of each parameter in the regression equation.
B. What IQ do you predict for James, who has 5 risk factors, versus Elizabeth, who has only 2?
