Question

determine the equation for a line of fit for the data.
$hat{y}=-1.31x + 0.02$
$hat{y}=1.31x + 0.02$
$hat{y}=-0.82x + 1.98$
$hat{y}=0.82x + 1.98$

Explanation:

Step1: Observe the trend of data points

The data points show a positive - slope trend, so the slope of the line of fit should be positive. This eliminates the equations with negative slopes ($\hat{y}=-1.31x + 0.02$ and $\hat{y}=-0.82x + 1.98$).

Step2: Estimate the y - intercept

When $x = 0$, looking at the general position of the data points on the graph, the y - intercept should be relatively small. Among $\hat{y}=1.31x + 0.02$ and $\hat{y}=0.82x + 1.98$, the y - intercept of $\hat{y}=1.31x + 0.02$ is more in line with the visual estimate from the graph.

Answer:

$\hat{y}=1.31x + 0.02$