13.65 Modeling fertility For the World Data for Fertility and Literacy data file on the book’s website, a MINITAB printout follows that shows fitting a multiple regression model for y = fertility, x1 = adult literacy rate 1both sexes2, x2 = combined educational enrollment 1both sexes2.

Report the value of each of the following:

a. r between y and x 1

b. R2

c. Total sum of squares

d. Residual sum of squares

e. Standard deviation of y

f. Residual standard deviation of y g. Test statistic value for H0: b1 = 0 h. P-value for H0: b1 = b2 = 0

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Analysis of fertility, literacy, and combined educational enrollment: Variable N Mean SE Mean StDev Median Adolescent fertility 142 60.42 3.73 44.50 49.55 Adult literacy rate (both sexes) 142 80.80 1.64 19.56 88.40 Combined educ enrol (both sexes) 142 68.59 1.32 15.79 71.20 Term Constant Coef 187.95 SE Coef T-Value P-Value 12.92 14.55 0.000 Adult literacy rate (both sexes) -1.2590 0.2416 0.2416 -5.21 0.000 Combined educ enrollment (both sexes) -0.3762 0.2994 -1.26 S = 33.4554 R-Sq=44.38 Analysis of Variance Source Regression Error Total Correlations: 0.211 DF SS MS F-Value P-Value 2 123582 61791 55.21 0.000 139 155577 1119 141 279160 Y x1 x2 y -0.661 -0.578 21 -0.661 0.803 %2 -0.578 0.803