Question

calculating predictions using the regression equation
what is the prediction of the number of coats clothes - 4 - you will sell when the outside temperature is 20°f?
round to the nearest whole number.

1. substitute 20 for x in the equation.
2. simplify to find the value for y.

at 20°f, about coats will be sold at clothes - 4 - you.

Explanation:

Step1: Substitute \(x = 20\) into the equation

Substitute \(x = 20\) into \(y=-0.96x + 103\). So, \(y=-0.96\times20+103\).

Step2: Calculate the value of \(y\)

First, calculate \(-0.96\times20=-19.2\). Then, \(y=-19.2 + 103\).
\(y = 83.8\).

Step3: Round to the nearest whole number

Since \(83.8\) is closer to \(84\) than to \(83\) (because \(0.8>0.5\)), we round \(83.8\) to \(84\).

Answer:

\(84\)