he data below indicate the number of children in a family and the number of pets the family has had in the past 5 years.

a. Calculate SP using thecomputationalmethod, then calculate r. (5 points)

number of childrennumber of pets

XYXY

166

236

326

248

166

X =9Y =2132

SSx = 2.8SSy = 12.8

Mx= 1.8My = 4.2

b. Determine the significance of this correlation at alpha .05, two-tailed. Give the critical value and state whether or not there is a significant association between the two variables.(4 pts)

c. Interpret the meaning of this correlation in terms of the problem.What is the direction of the relationship between family size and number of pets?(4 points)

d. Calculate the slope and Y-intercept for these data and use them to predict the number of pets for a family with 2 children (X = 2).(3 points)