Question

The data set represents a month-to-month progression of gasoline prices over the course of several months in an unspecified city. Use a graphing calculator to determine the quadratic regression equation for this data set. X 0 1 2 3 4 5 y 2. 82 3. 29 3. 46 3. 33 2. 88 2. 24 a. Y = negative 0. 143 x squared 0. 595 x 2. 830 c. Y = negative 0. 143 x squared 0. 595 x minus 2. 829 b. Y = 0. 143 x squared 0. 596 x 2. 829 d. Y = 0. 143 x squared minus 0. 595 x 2. 830.

Answer 1

To determine the quadratic regression equation, input the data into a graphing calculator, generate a scatter plot, use the calculator's regression function to find the equation, and then add the regression line to the scatter plot.

Step-by-step explanation:

To find the quadratic regression equation for a given set of data using a graphing calculator, you should follow these steps:

1. Enter the month-to-month progression of gasoline prices data into the graphing calculator.
2. Make a scatter plot to visualize the data points.
3. Access the calculator's regression function, usually found under the 'Stat' and then 'Calc' menu, to perform a quadratic regression.
4. The calculator will output the regression equation in the form â = ax² + bx + c, where a, b, and c are the coefficients that best fit the data in a least-squares sense.
5. Write down the quadratic regression equation provided by the calculator and sketch the regression line onto the scatter plot for a visual representation of the trend.

Be sure you select the correct equation that matches the coefficients given by the calculator among the options provided in the question.