#12.4 Suppose the regression line y =-10,000+1000xmodels the relationship for po

Question

#12.4 Suppose the regression line y=-10,000+1000xmodels the relationship for population of working adults in Canadabetween x= ageand the mean of y annual income. The conditionaldistribution of y at each value of x is modeled as normal, with = 5000. Use this regression model to describe the mean andthe variability around the mean for the conditional distribution atage 50 years. A. The values wouldmost likely be 0-25,000. B. The values would most likely be around 5,000. C. The values would be 4,950-5,050 (5,000± 50) D. Values from 25,000 to 55,000 would beincluded. #12.4 Suppose the regression line y=-10,000+1000xmodels the relationship for population of working adults in Canadabetween x= ageand the mean of y annual income. The conditionaldistribution of y at each value of x is modeled as normal, with = 5000. Use this regression model to describe the mean andthe variability around the mean for the conditional distribution atage 50 years. A. The values wouldmost likely be 0-25,000. B. The values would most likely be around 5,000. C. The values would be 4,950-5,050 (5,000± 50) D. Values from 25,000 to 55,000 would beincluded. A. The values wouldmost likely be 0-25,000. B. The values would most likely be around 5,000. C. The values would be 4,950-5,050 (5,000± 50) D. Values from 25,000 to 55,000 would beincluded.

Explanation / Answer

when x = 50 y = -10000 + 1000(50)      = 40,000 According to the normal curve, the range from centre to one side is3 standard deviation unit. = 5000 3 = 15,000 values=(25,000,55,000) D.

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