Question

Using the Regression Equation to Make Predictions

The data points represent the number of swimmers at City Pool compared to the outside temperature.

(66, 8), (71, 23), (72, 16), (75, 30), (78, 35), (80, 24), (82, 37), (86, 37), (87, 42), (90, 50)


Use the regression equation to determine how many swimmers will be at the pool when the temperature is 88°F? Round to the nearest whole number.

Swimme

Answer 1

First find the least-squares line. Calculations give

slope b ≈ 1.5045 and intercept a ≈ −88.2056,

so the regression equation is y ≈ −88.206 + 1.5045x.

For x = 88°F: y ≈ −88.206 + 1.5045(88) ≈ 44.19 → 44 swimmers (rounded).