Suppose that the equation of the regression line (the leastsquares line) relatin

Question

Suppose that the equation of the regression line (the leastsquares line) relating the lung cancer mortality rate, y, to thecigarette consumption, x, is given by the equation y = -15.47 +2.35x. If the consumption rate is 20, then the estimated mortalityrate is a) 2.35 b) 13.12 c) 31.53 d) 62.47 e) 4.53 Please Provide a good explanation. Thanks! Suppose that the equation of the regression line (the leastsquares line) relating the lung cancer mortality rate, y, to thecigarette consumption, x, is given by the equation y = -15.47 +2.35x. If the consumption rate is 20, then the estimated mortalityrate is a) 2.35 b) 13.12 c) 31.53 d) 62.47 e) 4.53 Please Provide a good explanation. Thanks!

Explanation / Answer

If you know the equation of the regression line, and you need to know the mortality rate,y, given that consumption, x, is 20, then the number x= 20 and find y = -15.47 +2.35x. If the consumption rate is 20, then x=20, then 2.35 times 20 is 47.0, then -15.47 + 47 = 31.53, so that is c) 31.53 Basically just plug the number 20 into the equation and outpops Y as your answer

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