11.25. Table 11.18 shows results of regressing y = birth rate (BIRTHS, number of births per 1000 population) on xj = women's economic activity (ECON)

and X2 = literacy rate (LITERACY), using UN data for 23 nations.

(a) Report the value of each of the following:

(i) ryXx (ii) ryX2 (iii) R 2

(iv) TSS (v) SSE (vi) mean square error (vii) s (

v iii) Sy

(ix) se for b\ (x) t for Hq: fi\ = 0

(xi) Pfor F/o: /3i = 0 against Ha: (3\ ^0

(xii) P for//o;/3| = 0 against H,,: /3i < 0

(xiii) F for Hq: I3\ — (32 - 0

(xiv) P for //o; /3i = ^ = 0

(b) Report the prediction equation, and interpret the signs of the estimated regression coefficients.

(c) Interpret the correlations and ryX2.

(d) Report R 2

, and interpret its value.

(e) Reportthe multiple correlation, and interpret.

(f) Though inference may not be relevant for these data, report the F statistic for Hq\

/3i - (32 - 0, report its P-value, and interpret.

(g) Show how to construct the / statistic for Hq:

/3i = 0, report its df and P-valuc for //„:

I3\ # 0, and interpret.