Exploring Linear Regression with TI84: Example 2

The video tutorial demonstrates how to perform linear regression using a TI84 graphing calculator. It covers creating a scatter plot, determining the line of best fit, and making predictions based on the regression equation. The tutorial uses data on births outside of marriage in the U.S. from 1970 onwards. It explains how to interpret the slope and intercept of the regression line and discusses the correlation coefficient and coefficient of determination to assess model fit. The video concludes with practical applications of the regression model.

What is the main goal of the video?

• To perform linear regression on the TI84 graphing calculator

• To solve differential equations

• To understand trigonometric functions

• To learn about quadratic equations

What is the first step in data analysis according to the video?

• Performing linear regression

• Creating a scatter plot of the data

• Adjusting the window settings

• Calculating the mean

What does the x-axis represent in the scatter plot?

• The percentage of births outside of marriage

• The total number of births

• The number of marriages

• The number of years since 1970

What should you do before performing linear regression on the TI84 calculator?

• Turn on the diagnostic feature

• Adjust the window settings

• Clear the old data

• All of the above

What is the purpose of turning on the diagnostic feature?

• To create a scatter plot

• To adjust the window settings

• To ensure the calculator gives R and R squared values

• To clear the old data

What is the approximate value of the slope in the regression equation?

• 10.9

• 0.99

• 0.98

• 0.77

What does a correlation coefficient (R) close to 1 indicate?

• A weak positive correlation

• A weak negative correlation

• No correlation

• A strong positive correlation

According to the model, what percentage of births will be outside of marriage in 2015?

• 0.77%

• 10.9%

• 45.7%

• 50%

In what year will 50% of births be outside of marriage according to the model?

• 2015

• 2021

• 1970

• 2030

What does the y-intercept of the best fit line represent?

• The number of years since 1970

• The correlation coefficient

• The slope of the line

• The percentage of births outside of marriage in 1970