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Researchers studied the data on yearly wine consumption (liters of alcohol from

ID: 3176366 • Letter: R

Question

Researchers studied the data on yearly wine consumption (liters of alcohol from drinking wine, per person) and the yearly deaths due to heart disease (deaths per 100,000 people) in 19 developed countries in 2001. The least-squares regression line for predicting death rate(y) due to heart disease caused by wine consumption(x), is: y = 115.86 - 8.05x. The correlation for the two variables is r = -0.645. Consider the following data for two variables, x and y: mean(x) = 3.539, S_x = 2.04848 mean(y) = 87.364, S_y = 25.56954 The researcher wants to derive the least-squares regression line for predicting death rate(y) due to heart disease caused by wine consumption(x). Fill in the blanks: The slope of the regression line for predicting death rate(y) due to heart disease caused by wine consumption(x) is _____. (Give your answer correct to two decimal places.) The intercept of the regression line for predicting death rate(y) due to heart disease caused by wine consumption(x) is _____. (Give your answer correct to two decimal places.) Answer 1 ___ Answer 2 ___

Explanation / Answer

Slope==r *sy/sx =(-0.645)*/25.56954/2.04848 =-8.051019927

Interept= y - b1 x = 87.364-(-8.051019927)*3.539 =115.8565595

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