3-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...

3-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 Statistic Value SE Correlation -0.460 0.170 Explain how to interpret the reported value of the correlation. b. Can you tell whether the sign of the slope in the corresponding prediction equation would be positive or negative? Why? c. Suppose the prediction equation were ý=5.6-0.1x. Interpret the slope, and show how to find the predicted birth rate for a nation that has x= 40. d. Sketch a scatter plot for which it would be inappropriate to use the correlation to describe the association.