Moduel 5 topic 3
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This document provides examples and instructions for performing linear regression. It explains positive and negative correlation and using a graphing calculator to find the equation of a line of best fit for sample household income and vehicle mileage data. The line of best fit equation is calculated as y = 0.24x + 14.17. Using this equation, the predicted vehicle mileage for a household income of $30,000 is calculated as 21.4 miles.
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Moduel 5 topic 3
- 1. Module 5 Topic 3Linear Regression
- 2. Example 1Positive Correlation = looks like a line going up to the sky from the left of the screen to the right of the screenNegative Correlation = looks like a line going down to the ground from the left of the screen to the right of the screenNone = The points do not form a line at all, they are scattered all over the place!
- 3. Example 2Similar Problem: Use your calculator to find the equation for the line of best fit for the data. Round your answer to two decimal places.Residential Vehicle Miles Traveled per Household by Annual Household IncomeHouseholdIncome (thousands)10 15 20 25 35 50 60 75Miles (thousands)14.2 15.8 19.3 22.3 25.2 28 28.9 29.6
- 4. Example 2 ContinuedUsing your graphing calculator follow the instructions below;Before each problem do this:Press OnPress 2ndPress +Press 4: ClrAllListsPress Enter
- 5. Example 2 continuedOnce you have done this your calculator clears all the list information for you!Press STATPress 1:EditIn L1 put in the Household IncomeIn L2 put in the MilesPress 2nd Press Mode (quit)Press STATArrow over to CALC Press 4:LinReg ax + bWe get LinRegy= ax + b (a is the slope and b is the y-intercept)y= .24x + 14.17
- 6. Example 3Use the equation for the line of best fit to predict the number of mile traveled per household for an annual household income of 30 thousand dollars. Round your answer to the nearest tenth. Use the equation in Example 2.Use the equation we found in questions #3 and plug in 30 for x.y = .24(30) + 14.17y = 21.37