To write a linear regression equation, we need to find the equation of a line that best fits the given data points. We can use the equation of a line, y = mx + b, where m is the slope and b is the y-intercept.
To find the slope, we need to calculate the change in revenue (y) divided by the change in years (x). We can use two points on the line, such as (x1, y1) = (0, 92) and (x2, y2) = (9, 155).
Slope (m) = (y2 - y1) / (x2 - x1)
= (155 - 92) / (9 - 0)
= 63 / 9
= 7
Now, let's calculate the y-intercept using the formula: y = mx + b.
Rearranging the equation, we get b = y - mx.
Using the point (0, 92), we have:
b = 92 - 7(0)
b = 92
Therefore, the linear regression equation for the "full service" restaurant is:
y = 7x + 92