Recent UN data from several nations on y = crude birth rate(number of births per 1000 population size), x1 =women’s economic activity (female labor force as percentage ofmale), and x2 = GNP (per capita, in thousands ofdollars) has prediction equation y = 34.53 −0.13x1 − 0.64x2. The bivariateprediction equation with x1 is y = 37.65 −0.31x1. The correlations are ryx1 =−0.58, ryx2 = −0.72, and rx1x2 =0.58. Explain why the coefficient of x1 inthe bivariate equation is quite different from that in the multiplepredictor equation.
For recent UN data for several nations, a regression of carbondioxide use (CO2, a measure of air pollution) on gross domesticproduct (GDP) has a correlation of 0.786. With life expectancy as asecond explanatory variable, the multiple correlation is 0.787.
(a) Explain how to interpret the multiplecorrelation.
(b) For predicting CO2, did it help much to add lifeexpectancy to the model? Does this mean that life expectancy isvery weakly correlated with CO2? Explain.
Recent UN data from several nations on y = crude birth rate (number of births per 1000 population size), x1 = women’s ec
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Recent UN data from several nations on y = crude birth rate (number of births per 1000 population size), x1 = women’s ec
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