Question

An engineer collects data showing the speed s of a given car model (in miles per hour) and its average fuel efficiency M (in miles per gallon). Find the equation of the quadratic regression curve of best fit. Round each coefficient to 4 decimal places.

Answer 1

To find the equation of the quadratic regression curve of best fit, calculate the coefficients of the quadratic equation using the method of quadratic regression.

Step-by-step explanation:

The equation of the quadratic regression curve of best fit can be found using the collected data on the speed and fuel efficiency of the car. To do this, we use the method of quadratic regression which involves finding the coefficients of the quadratic equation that best fits the data.

1. First, calculate the mean of the speed data and the mean of the fuel efficiency data.
2. Next, calculate the squared difference between each speed data point and the mean speed, as well as the squared difference between each fuel efficiency data point and the mean fuel efficiency.
3. Then, calculate the product of the difference between each speed data point and the mean speed, and the difference between each fuel efficiency data point and the mean fuel efficiency.
4. Finally, use these calculations to find the coefficients of the quadratic regression equation using the formulas provided in the quadratic regression method.

Once you have the coefficients of the quadratic regression equation, you can round them to four decimal places to get the equation of the quadratic regression curve of best fit.

Learn more about Quadratic regression