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 = 3+0.08(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 \square. (type an integer or a decimal)

Explanation:

Step1: Recall residual formula

Residual = Observed value - Predicted value.

Step2: Calculate predicted value

Given the equation \( \text{volume} = 3 + 0.08(\text{number of sunny days}) \), substitute number of sunny days = 49.
Predicted volume \( = 3 + 0.08\times49 = 3 + 3.92 = 6.92 \).

Step3: Calculate residual

Observed value = 6, Predicted value = 6.92.
Residual \( = 6 - 6.92 = -0.92 \).

Answer:

-0.92