Fitting Linear Models to Data · Exercise 2

The data set below shows the relationship between the number of hours worked and the tips received by Nyla, a server at Pi Pizzeria.
\begin{array}{|c|c|c|c|c|c|c|c|}\hline \text{Hours worked in a week, x} & \text{10} & \text{15} & \text{20} & \text{25} & \text{30} & \text{35} & \text{40} \\ \hline \text{Tips received, y} & \text{$66} & \text{$100} & \text{$118} & \text{$160} & \text{$190} & \text{$235} & \text{$272} \\ \hline\end{array}

ⓐ Draw a scatter plot (by hand or using a graphing utility) for the data provided being sure to label your axes.
ⓑ Does the data appear to be linearly related? Is the association between the variables positive or negative?
ⓒ Choose two points that seem to represent the general pattern in the data set. Write these points as ordered pairs below.
$\left(,\right)$
$\left(,\right)$
ⓓ Write the equation of the line passing through the points you listed in part c. in slope intercept form. Show your work below.
ⓔ Based on the linear function you found in part d, how much could Nyla expect to make in tips if they work 38 hours in a given week?

Its source prints no answer for this problem, so there's nothing to check against.

OpenStax, Algebra and Trigonometry 2e · §4.3 Fitting Linear Models to Data · Exercise 2