Linear Regression Techniques with TI-84

This video tutorial explains how to perform linear regression using a TI-84 calculator. It covers entering data, calculating the regression line, analyzing scatter plots, and interpreting the slope for predictions. The tutorial provides step-by-step instructions and tips for ensuring accurate results, making it a useful guide for students learning about linear regression.

What is the first step to enter data into the TI-84 calculator?

• Press the 'Graph' button

• Press the 'Stat' button and choose 'Edit'

• Press the '2nd' button and then 'Stat'

• Press the 'Mode' button

How do you clear existing data in a list on the TI-84 calculator?

• Press '2nd' and then 'Clear'

• Highlight the list name, press 'Clear', and then 'Enter'

• Highlight the list name, press 'Delete', and then 'Enter'

• Press 'Delete' and then 'Enter'

Which menu option do you select to calculate the regression line equation?

• LinReg(ax+b)

• QuadReg

• ExpReg

• LnReg

What is the form of the regression line equation calculated by the TI-84?

• y = ax + b

• y = a * ln(x) + b

• y = ax^2 + bx + c

• y = a + bx

What should you do if the scatter plot does not appear after selecting 'Zoom Stat'?

• Turn on the stat plot

• Restart the calculator

• Re-enter the data

• Change the window settings

What does an R-squared value close to 1 indicate?

• No correlation

• A perfect fit

• A good fit

• A poor fit

What does the slope of the regression model represent in this context?

• The total distance hiked

• The number of days hiked

• The average miles hiked per day

• The initial distance

How would you estimate the total number of miles hiked in 50 days using the regression model?

• Divide 50 by the slope

• Plug 50 into the equation for x

• Add 50 to the slope

• Multiply 50 by the y-intercept

What is the first step to solve for the number of days when the total miles hiked is given?

• Multiply the total miles by the slope

• Subtract the y-intercept from the total miles

• Add the y-intercept to the total miles

• Divide the total miles by the slope

How do you isolate the variable x when solving for the number of days hiked?

• Divide both sides by the slope

• Multiply both sides by the slope

• Add the slope to both sides

• Subtract the y-intercept from both sides