A geographer conducts a study of the relationship between the level of economic

Question

A geographer conducts a study of the relationship between the level of economic development of a nation (measured in thousands of dollars for per capita GDP)and the birth rate (average number of children per adult woman). For one analysis of the data, a part of the computer printout reports the following. Statistic correlation Value   -0.460 SE 0.170 A. Suppose the prediction equation were   yhat=5.6-0.1x. Interpret the slope, and show how to find the predicted birth rate for a nation that has x=40

Explanation / Answer

Solution

Given equation yhat = 5.6 -0.1x

Slope is the coefficient of x, so slope = - 0.1

When x = 40, yhat = 5.6 - 0.1 * 40

                            = 5.6 - 4

                            = 1.6

Answer is 1.6

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