Question

(Typed work preferable. Show step-by-step please.)

1. A researcher collected at random one child from each of the eight families in which there was at least one child. She recorded the following data to study the effects of number of siblings (X) on happiness of the child (Y), measured on an interval scale in which low scores indicate a low level of happiness and high scores indicate a high level of happiness:

X	Y
1	5
0	3
2	4
4	7
2	5
3	9
1	8
1	4

a. Write out the regression equation, then calculate and interpret the meaning of the regression slope and Y-intercept. See problem 1 for an explanation of the guidelines for interpretation.

b. Predict the happiness of an only child and the happiness of a child with two siblings.

c. Find the coefficients of determination and non-determination and interpret what they mean.

d. Is the relationship between education and number of children statistically significant using a 95% confidence level?

Answer 1