Estimating Ages Scatter Plots

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Presentation transcript:

Estimating Ages Scatter Plots

Oprah Winfrey

Jennifer Aniston

Brad Pitt

Billy Joel

Jamie Foxx

Betty White

Neil Patrick Harris

Samuel L. Jackson

Ray Lewis

Mark Zuckerberg

Justin Timberlake

Amy Schumer

Angelina Jolie

Dr. Dre

Cal Ripken Jr.

Danai Gurira

Katy Perry

Michael Jordan

Dane Cook

Mick Jagger

Person Age Oprah Winfrey 63 Justin Timberlake 36 Jennifer Aniston 48 Amy Schumer 35 Brad Pitt 53 Angelina Jolie 41 Billy Joel 67 Dr. Dre 52 Jamie Foxx 49 Cal Ripken Jr. 56 Betty White 95 Danai Gurira 39 Neil Patrick Harris 43 Katy Perry 32 Samuel L. Jackson 68 Michael Jordan 54 Ray Lewis Dane Cook 44 Mark Zuckerberg Mick Jagger 73

Scatter Plots and Least-Squares Lines Objectives: Create a scatter plot and draw an informal inference about any correlation between the variables Use a graphics calculator to find an equation for the least-squares line and use it to make predictions or estimates

Vocabulary Scatterplot: Is a graph showing two sets of quantitative data on a coordinate plane. Explanatory Variable (x): is the variable that is trying to explain changes in y. Response Variable (y): is the value obtained at a specific x-value.

Correlation The main result of a correlation is called the correlation coefficient (or "r"). It ranges from -1.0 to +1.0. The closer r is to +1 or -1, the more closely the two variables are related. If r is close to 0, it means there is no linear relationship between the variables. If r is positive, it means that as one variable gets larger the other gets larger. If r is negative it means that as one gets larger, the other gets smaller

no reliable correlation negative correlation no reliable correlation positive correlation x y x y x y r is close to 1 r is close to -1 r is close to 0

Correlation and Prediction no reliable correlation perfect positive correlation perfect negative correlation x y x y x y r = -1 r = 0 r = 1

Least-Squares Regression Line (LSRL) (line that best fits the data) 2 4 6 8 10

Equation of LSRL  

Example 1 Create a scatter plot for the data shown below. Describe the correlation. Then find and graph an equation for the least-squares line. x 2 3 6 7 9 12 y 14 19 22 26 32 38

Example 2 The table below shows the number of students enrolled in MATH 253 at CCBC in six of the last 7 semesters. The number for the third year has been misplaced. Estimate the number of students enrolled in Math 253 in the third year. year 1 2 4 5 6 7 # 33 29 45 43 61

Make prediction for the height at: Age (months) Height (inches) 18 76.1 19 77 20 78.1 21 22 78.8 23 79.7 24 79.9 25 81.1 26 81.2 27 82.8 28 29 83.5 Make prediction for the height at: • 21 months • 28 months • 20 years

Guess the ages of these 5 celebrities Dr. Phil Taylor Swift Cristiano Ronaldo Kevin Hart James Patterson

Actual Ages Dr. Phil (66 years old) Taylor Swift (27 years old) Kevin Hart (37 years old) Cristiano Ronaldo (32 years old) James Patterson (69 years old)

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