The line of best fit is ŷ = 5.6z + 53.7. A data point in the scatterplot is (7,90). What is the y value? Enter your answer to the nearest tenth. (1 point)

The y value is

1 answer

To find the predicted y-value (\( \hat{y} \)) for the given z-value in the equation of the line of best fit \( \hat{y} = 5.6z + 53.7 \), we can substitute \( z = 7 \) into the equation:

\[ \hat{y} = 5.6(7) + 53.7 \]

Calculating this step-by-step:

  1. \( 5.6 \times 7 = 39.2 \)
  2. \( 39.2 + 53.7 = 92.9 \)

So, the predicted y-value is:

\[ \hat{y} = 92.9 \]

Thus, the y value is 92.9.