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,-0.2), (3,-1.5), (5,-2.3), (6,-1.8), (8,1). You are not required to find the model, just choose the appropriate regression and explain how to use the technology.

a) Use linear regression to model the data.
b) Apply logistic regression to predict future values.
c) Utilize polynomial regression to capture the curve.
d) Employ exponential regression to fit the data.

Answer 1

To use technology for regression, data is entered into a calculator or software, a scatter plot is made, the appropriate regression function is selected, and the model's equation, correlation coefficient, and residuals are analyzed to evaluate the fit.

Step-by-step explanation:

To use technology to construct an appropriate regression model for the given data (-2,11), (1,1.7), (2,-0.2), (3,-1.5), (5,-2.3), (6,-1.8), (8,1), you can follow these steps:

Enter the set of data points into a graphing calculator or statistical software to create a scatter plot. This visualizes the relationship between the independent (x) and dependent (y) variables.

Using the technology's regression function, select the type of regression that best fits the data. For linear regression, look for the 'Linear Regression (LinReg)' function to find the least-squares regression line equation and overlay it on the scatter plot.

For logistic or exponential regression, select the corresponding function from the calculator, such as 'Logistic Regression' or 'ExpReg'. For polynomial regression, determine the degree of the polynomial needed based on the scatter plot, then use the 'PolyReg' function with the chosen degree.

Once the regression model is calculated, analyze the output, including the equation, correlation coefficient, and any residuals to understand the fit and predictive power of the model.