Question

In two or more complete sentences, describe how to use technology to construct an appropriate regression model for the given data (-2,11), (1,1.7), (2,-2.0), (3,1.5), (5,-2.3), (6,-18), (8,1).

Option 1: Input the data points into a graphing calculator and use the linear regression function to find the equation of the best-fit line.
Option 2: Use a spreadsheet program to plot the data points and add a trendline to obtain the regression equation.
Option 3: Calculate the slope and intercept manually using the data points and input the values into a statistical software to generate the regression model.
Option 4: Apply the method of least squares to the data points using a statistical software and determine the equation for the regression line.

Answer 1

To construct an appropriate regression model for the given data, there are several options: inputting the data into a graphing calculator, using a spreadsheet program, calculating manually, or applying the least squares method using a statistical software.

Step-by-step explanation:

To construct an appropriate regression model for the given data, there are several options:

1. Option 1: Input the data points into a graphing calculator and use the linear regression function to find the equation of the best-fit line.
2. Option 2: Use a spreadsheet program to plot the data points and add a trendline to obtain the regression equation.
3. Option 3: Calculate the slope and intercept manually using the data points and input the values into a statistical software to generate the regression model.
4. Option 4: Apply the method of least squares to the data points using a statistical software and determine the equation for the regression line.

Each of these options can help you construct an appropriate regression model based on the given data, but the most efficient and accurate method would be to use a statistical software and apply the least squares method. This will provide the equation for the regression line that best fits the data points.