2-5 Using linear models.

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Presentation transcript:

2-5 Using linear models

Warm-up 1. Make a scatter plot from the table. x y 1 2 -3 3 8 4 9 5 -21

Ages of Famous Personalities

Oprah Winfrey

Beyonce Knowles

George Clooney

Ellen DeGeneres

Leonardo DiCaprio

Miley Cyrus

Denzel Washington

Queen Latifah

Rachel McAdams

Samuel L. Jackson

Jackie Chan

Taylor Swift

Betty White

Hulk Hogan

Actual Ages

Oprah Winfrey Age: 58

Beyonce Knowles Age 31

George Clooney AGE 51

Ellen DeGeneres age 54

Leonardo DiCaprio age 37

Miley Cyrus age 19

Denzel Washington age 57

Queen Latifah age 42

Rachel McAdams age 33

Samuel L. Jackson age 63

Jackie Chan age 58

Taylor Swift age 22

Betty White age 90

Hulk Hogan age 59

Question #2 Correlation: Strong Negative Correlation Strong Positive Correlation Weak Negative Correlation No Correlation Weak Positive Correlation

Question #3 Choose two points from your table. Find the slope of these two points Write the equation in point-slope form using one of your two points. Transform your equation into slope-intercept form.

Scatter plots and equations of lines The trend line that shows the relationship between two sets of data most accurately is called the line of best fit. The graphing calculator gives you the correlation coefficient r, which tells you how closely the equation models the data. -1 1

Input x=33 into your equation for the line of best fit Question #5 If you guessed that a person’s age was 33, what would the exact age be based on the line of best fit? Input x=33 into your equation for the line of best fit

Input x=87 into your equation for the line of best fit Question #6 If a person’s estimated age was 87, what would the exact age be based on the line of best fit? Input x=87 into your equation for the line of best fit

Question #7 This time, y=87. Solve for x. If a person’s actual age was 54, what would have been the estimated age based upon the line of best fit? This time, y=87. Solve for x.

This time, y=(your age). Solve for x. Question #8 What is your age? Based upon your line of best fit, what would have been your estimated age? This time, y=(your age). Solve for x.

Does your scatterplot have a strong correlation? Question #10 Based on your scatterplot and your correlation coefficient, were you a good guesser or a bad guesser? Does your scatterplot have a strong correlation? Is your correlation coefficient, r, close to 1 or -1?

HOMEwork tonight pg. 96 #18