The following data on fertility rates were obtained from Eurostat on seven European countries in 2010. The covariance between the mean age at childbearing and the total fertility rate is -0.06. Using this information and the information provided in the table below: a) Calculate the Y-intercept and the slope and write down the linear regression equation which summarizes the relationship between these two variables. | | Mean Age at Childbearing | Total Fertility Rate | | :--- | :---: | :---: | | Denmark | 30.29 | 1.83 | | Ireland | 30.66 | 1.90 | | Greece | 29.87 | 1.39 | | Spain | 30.88 | 1.38 | | France | 29.72 | 2.00 | | Italy | 30.87 | 1.32 | | Netherlands | 30.58 | 1.70 | | | | | | Mean | 30.41 | 1.65 | | Standard Deviation | 0.47 | .28 | | Variance | .22 | .08 | b) Now calculate the coefficient of determination for the regression equation you just presented, and interpret this quantity.
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The formula for the slope is: b1 = Covariance(X,Y) / Variance(X) Given that the covariance between the mean age at childbearing and the total fertility rate is -0.06 and the variance of the mean age at childbearing is 0.47, we can substitute these values into Show more…
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