Cab companies often charge a flat fee for picking someone up and then charge an additional fee per mile driven.
The city of Raleigh, NC charges $1.95 fee and $2.70 per mile for each cab ride
Find the linear regression equation that models the data above. (Note: using Desmos to find the linear regression
Using Desmos to find the linear regression equation for the given data, we need to input the x-values as the miles driven and the y-values as the total cost for each cab ride.
Let's assume the x-values are distances in miles driven and the y-values are the total cost in dollars. We will have the following data points:
(0, 1.95)
(1, 1.95 + 2.70)
(2, 1.95 + 2.70 * 2)
(3, 1.95 + 2.70 * 3)
...
The linear regression equation will give us the relationship between the distance driven and the total cost. In this case, the equation will have the form y = mx + b, where m is the slope of the line and b is the y-intercept.
After inputting the data into Desmos and finding the linear regression equation, we get:
y = 2.70x + 1.95
Therefore, the linear regression equation that models the given data is y = 2.70x + 1.95.