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**Objective: Determine the correlation of a scatter plot**

Lesson 11.4: Scatter Plots Objective: Determine the correlation of a scatter plot

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Warm Up What is the slope of a line that passes through points with coordinates (-2,-6) and (-4, -5)? a. -2 b. - 1/2 c. 1/2 d. 2 Given that the Slope Intercept Formula is y = mx + b, and remembering that m = the slope, give the slope of the following linear equations: a. y = -3x + 5 b. y = 3/5x + 7 c. y = 4x - 3 What is the slope of the equation 3x + 2y = 6? (Hint: Solve for y. This will give you the Slope Intercept Form)

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Scatter Plot A scatter plot is a graph of a collection of ordered pairs (x,y). The graph looks like a bunch of dots, but some of the graphs are a general shape or move in a general direction.

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Positive Correlation If the x-coordinates and the y-coordinates both increase, then it is POSITIVE CORRELATION. This means that both are going up, and they are related.

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Positive Correlation If you look at the age of a child and the child’s height, you will find that as the child gets older, the child gets taller. Because both are going up, it is positive correlation. Age 1 2 3 4 5 6 7 8 Height “ 25 31 34 36 40 41 47 55

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Negative Correlation If the x-coordinates and the y-coordinates have one increasing and one decreasing, then it is NEGATIVE CORRELATION. This means that 1 is going up and 1 is going down, making a downhill graph. This means the two are related as opposites.

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Negative Correlation If you look at the age of your family’s car and its value, you will find as the car gets older, the car is worth less. This is negative correlation. Age of car 1 2 3 4 5 Value $30,000 $27,000 $23,500 $18,700 $15,350

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No Correlation If there seems to be no pattern, and the points looked scattered, then it is no correlation. This means the two are not related.

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No Correlation If you look at the size shoe a baseball player wears, and their batting average, you will find that the shoe size does not make the player better or worse, then are not related.

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**Which scatterplots below show a linear trend?**

Negative Correlation Positive Correlation b) d) f) Constant Correlation

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**Objective - To plot data points in the coordinate plane and interpret scatter plots.**

y Sport Utility Vehicles (SUVs) Sales in U.S. 5 4 3 2 1 Year Sales (in Millions) 1991 0.9 1992 1.1 Vehicle Sales (Millions) 1993 1.4 1994 1.6 1995 1.7 1996 2.1 1997 2.4 1998 2.7 x 1999 3.2 Year

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**Scatterplot - a coordinate graph of data points.**

y Trend appears linear. 5 4 3 2 1 Trend is increasing. Vehicle Sales (Millions) Positive correlation. Predict the sales in 2001. x Year

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**Plot the data on the graph such that homework time **

is on the y-axis and TV time is on the x-axis.. Time Spent Watching TV Time Spent on Homework Student Sam 30 min. 180 min. Jon 45 min. 150 min. Lara 120 min. 90 min. Darren 240 min. 30 min. Megan 90 min. 90 min. Pia 150 min. 90 min. Crystal 180 min. 90 min.

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**Plot the data on the graph such that homework time **

is on the y-axis and TV time is on the x-axis. TV Homework 240 210 180 150 120 90 60 30 30 min. 180 min. 45 min. 150 min. 120 min. 90 min. Homework Time on 240 min. 30 min. 90 min. 120 min. 150 min. 120 min. 180 min. 90 min. Time Watching TV

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**Describe the relationship between time spent on **

homework and time spent watching TV. Trend appears linear. 240 210 180 150 120 90 60 30 Trend is decreasing. Homework Time on Negative correlation. Time Watching TV

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