if the age for a boy is 8 and he weighs 62 lbs and the line of best fit is y^=5.5x+16. What is the value for y^ given in the table

Answer 1

To find the value of \( \hat{y} \) (the predicted weight) for a boy who is 8 years old using the line of best fit equation \( \hat{y} = 5.5x + 16 \), you can substitute \( x = 8 \) into the equation.

\[ \hat{y} = 5.5(8) + 16 \]

Calculating this:

\[ \hat{y} = 44 + 16 = 60 \]

So, the predicted weight \( \hat{y} \) for an 8-year-old boy based on the line of best fit is \( 60 \) lbs.