(1)Bivariate regression.Agresti & Finlay p. 292, problem 9.22 (4 points; 2 points for each answer)

In the UN Human Development Report, one variable measured was x = percentage of adults who use contraceptive methods. Table 9.11 shows part of a printout for a regression analysis using y = fertility (mean number of children per adult woman), for 22 nations listed in that report. For those nations x had a mean of 60.0 and standard deviation of 20.6.

(a)State a research question that could be addressed with this output.

(b)Report the prediction equation and find the predicted fertility when (i) x = 0, (ii) x = 100. Show how the difference between these can be obtained using the slope.

Table 9.11

Predictor Coef SE Coef t Sig.

Constant 6.6633 0.4771 13.97 0.000

CONTRA -0.064843 0.007539 -8.60 0.000

Source Sum of Squares df

Regression 37.505 1

Residual Error 10.138 20

Total 47.644 21