4 5 PREDICTING WITH LINEAR MODELS GOALS USE

4 -5 PREDICTING WITH LINEAR MODELS GOALS: USE A LINEAR MODEL TO MAKE PREDICTIONS. ELIGIBLE CONTENT: A 1. 1. 2. 1. 1 / A 1. 1. 2. 1. 3 / A 1. 2. 2. 2. 1 / A 1. 2. 3. 2. 2 / A 1. 2. 3

WHAT CAN WE DO ONCE WE HAVE AN EQUATION? ? ? • We can use the equation to predict what will happen in the future. • Predictions assume that the trend continues indefinitely. • Remember: It is just a prediction – an estimate!!

VOCABULARY • Linear Interpolation • Estimating the coordinates of a point that lies between two given data points. • Predicting within the data. • Linear Extrapolation • Estimating the coordinates of a point that lies to the left or right of the given data points. • Predicting outside the data.

The Linear Model for the data is y = 2237 x + 32, 720. x is the number of years since 1995. Television Advertising Use this equation to estimate the amount of money spent on advertising in the following years: 50, 000 45, 000 40, 000 35, 000 30, 000 25, 000 20, 000 15, 000 10, 000 5, 000 0 a. 1996 b. 2008 c. 1990 0 2 4 6 8 d. 2000

MAKING A SCATTER PLOT The table shows the height and weight of each member of a soccer team. a. Make a scatter plot. Put height on the horizontal axis and weight on the vertical axis. b. Find the equation of the line of best fit. Height (inches) Weight (pounds) 72 190 70 170 71 180 70 175 69 160 70 160 69 150 73 180 66 150 70 150 76 200

USE YOUR EQUATION TO ANSWER QUESTIONS. 1. 2. 3. 4. Estimate the weight of a player who is 70 inches tall. Estimate the height of a player who weighs 185 pounds. Estimate the weight of a player who is 74 inches tall. Estimate the height of a player who weighs 165 pounds.

PRACTICE • Page 252 #11 • Draw the scatterplot • Find the equation of the line of best fit • Use your equation to predict the interval after a 7. 5 minute eruption.

HOMEWORK • Page 251 #8 -10 complete all parts of each question!!! • #10 should have a scatterplot