Question

over the years, a farmer has collected data on the average volume of the oranges in his crop in cubic inches based on the number of sunny days in the 120 - day growing season. the equation of the line of best - fit is volume = 2+0.07 (number of sunny days). find and interpret the residual for an average orange volume of 6 cubic inches in a season with 49 sunny days.
the residual is \boxed{0.57} (type an integer or a decimal.)
the residual is \boxed{} which indicates that the equation \boxed{} the volume of the orange.

Explanation:

Step1: Calculate predicted volume

Substitute sunny days = 49 into the line of best-fit equation.
$\text{Predicted Volume} = 2 + 0.07 \times 49$
$\text{Predicted Volume} = 2 + 3.43 = 5.43$

Step2: Compute the residual

Residual = Observed volume - Predicted volume.
$\text{Residual} = 6 - 5.43 = 0.57$

Step3: Interpret the residual

A positive residual means the equation underpredicts the actual value.

Answer:

The residual is 0.57, which indicates that the equation underpredicts the volume of the orange.