Question

swimmers at city pool
use the regression equation for the number of swimmers at city pool to make predictions.
the number of swimmers when the temperature is 100°f is predicted to be
if there are 26 swimmers at the pool, the outside temperature is likely to be °f.
49.1
74.8
75.9
80.4

Explanation:

Step1: Predict swimmers when temperature is \(100^{\circ}F\)

Substitute \(x = 100\) into \(y=1.505x - 88.21\).
\(y=1.505\times100-88.21\)
\(y = 150.5-88.21\)
\(y=62.29\approx62\)

Step2: Find temperature when \(y = 26\)

Set \(y = 26\) in \(y=1.505x - 88.21\) and solve for \(x\).
\(26=1.505x-88.21\)
Add \(88.21\) to both sides: \(26 + 88.21=1.505x\)
\(114.21 = 1.505x\)
Divide both sides by \(1.505\): \(x=\frac{114.21}{1.505}=75.9\)

Answer:

The number of swimmers when the temperature is \(100^{\circ}F\) is predicted to be \(62\). If there are \(26\) swimmers at the pool, the outside temperature is likely to be \(75.9^{\circ}F\).