Activity Overview
In this activity, students test if a significant relationship exists between a bivariate data set, and then calculate the confidence and predictive intervals. They also improve the interval-prediction capabilities by automating the process.
Before the Activity
Download the A2MULREG program on the calculator using one of these two methods:
TI Connect™, a TI Connectivity Cable, and the Unit-to-Unit Link Cable
TI-Navigator™ "send to class" feature
See the attached PDF file for detailed instructions for this activity
Print pages 115 - 124 from the attached PDF file for your class
During the Activity
Distribute the pages to the class.
Follow the Activity procedures:
Inference for Correlation and Regression:
Record data of hours of study outside class and final grade
Enter the data as lists
Set up a scatter plot
Determine the equation of the regression line
Calculate the correlation coefficient and the coefficient of determination
Find the p-value
Test the hypothesis
Find the confidence interval for β
Plot the data and the regression line
Calculate the residuals and residual plots
Set up another scatter plot
Find the predictive and confidence intervals for the critical t-value
Compare the two intervals
Multiple Regression:
Store the data in a matrix
Run the A2MULREG program to automate the above process and to improve the prediction capability of the multiple regression equation
After the Activity
Review student results:
As a class, discuss questions that appeared to be more challenging
Re-teach concepts as necessary