A linear regression equation that represents this set of data is y = 1.1x - 15.8.
The projected test grade for a student with a Homework Grade (x) of 35 is approximately equal to 23.
In this scenario, the Homework Grade (x) would be plotted on the x-axis of the scatter plot while the Test Grade (y) would be plotted on the x-axis of the scatter plot.
On the Excel sheet, you should right click on a data point on the graph (scatter plot), select format trend line and then tick the box to display an equation for the linear regression (line of best fit) on the graph.
By critically observing the scatter plot (see attachment) which models the relationship between the data points in the given table, the linear regression equation is given by:
y = 1.1x - 15.8
For a student with a Homework Grade (x) of 35, the projected test grade is given by:
y = 1.1(35) - 15.8
y = 38.5 - 15.8
y = 22.7 ≈ 23.