The computer output below shows the result of a linear regression analysis for predicting the concentration of
zinc, in parts per million (ppm), from the concentration of lead, in ppm, found in fish from a certain river.
Which of the following statements is a correct interpretation of the value 19.0 in the output?
Approach
The coefficient values correspond to \(\alpha\) and \(\beta\):
$$ \hat{y}=\alpha + \beta x $$
$$ \hat{y}=16.3+19.0x $$
The slope \( \left(\dfrac{19.0}{1}\right)\) represents the change in \(\hat{y}\) for every change of \(x\). So for every 19.0 change in zinc, there is a change of 1 in lead.