Question

ramona used the regression equation ( y = 0.444x - 21.29 ), where ( x ) represents height and ( y ) represents shoe size, to predict the approximate height of a man who wears a size 8.5 shoe. ramona determined that her answer was incorrect because a man who is -17.52 inches tall does not make any sense. what was ramonas mistake? 1. ( y = 0.444(8.5)-21.29 ) 2. ( y = 3.774 - 21.29 ) 3. ( y = -17.52 ) she substituted the 8.5 for the wrong variable. she should have added 0.444 and 8.5. the value for ( y ) should be positive. the solution of -17.52 should be the shoe size.

Explanation:

In the regression equation \(y = 0.444x-21.29\), \(x\) represents height and \(y\) represents shoe size. Ramona was supposed to find \(x\) (height) when \(y = 8.5\) (shoe - size). But she substituted \(x = 8.5\) into the equation. So she substituted the value for the wrong variable.

Answer:

She substituted the 8.5 for the wrong variable.