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Homework Page 11.

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Presentation on theme: "Homework Page 11."— Presentation transcript:

1 Homework Page 11

2 Lesson 6.6 : Scatter Plots

3 Scatter Plot Scatter Plot: A scatter plot is a data display which shows if two sets of data or variables are related- also known as correlation. The graph looks like a bunch of dots, but some of the graphs are a general shape or move in a general direction.

4 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.

5 Positive Correlation Ages and height
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

6 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.

7 Negative Correlation Age of car and value of car
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

8 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.

9 No Correlation Shoe size and battering average
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.

10 There are three ways to describe data displayed in a scatter plot.
Positive Correlation Negative Correlation No Correlation The values in both data sets increase at the same time-x and y. The values in one data set increase (x) as the values in the other set decrease (y). The values in both data sets show no pattern- scattered.

11 Which scatterplots below show a linear trend?
Negative Correlation Positive Correlation b) d) f) Constant Correlation

12 1. Height and number of vacation days
What would the scatter plot look like based on the variables below? What type of correlation would it be? 1. Height and number of vacation days The number of vacation days is not related to height. So there would not be any correlation between these two variables.

13 There would not be any correlation between these two variables.
What would the scatter plot look like based on the variables below? What type of correlation would it be? 2. Eye color and age There would not be any correlation between these two variables.

14 negative correlation; as age increases, attendance decreases.
Ticket Out the Door Write positive, negative, or no correlation to describe this relationship. Explain negative correlation; as age increases, attendance decreases.

15 Discuss if the scatter plot shown has a positive correlation, negative correlation, or no correlation. Explain. The graph shows that as the year increases, number of tornados increases. So the graph shows a positive correlation between the data sets.

16 Discuss if the scatter plot shown has a positive correlation, negative correlation, or no correlation. Explain. The graph shows that as area increases, population increases. So the graph shows a positive correlation between the data sets.

17 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

18 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

19 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.

20 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

21 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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