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Warm-up March 21, 2013. Family A and Family B both have 8 people in their family . The age of each member is listed below. Find the MAD for each data set and explain what those values mean. Addams Family: 35, 5, 42, 9, 16, 3, 8 , 12 Muenster Family: 1, 5, 29, 3, 7, 35, 6, 9 .

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warm up march 21 2013
Warm-up March 21, 2013

Family A and Family B both have 8 people in their

family. The age of each member is listed below.

Find the MAD for each data set and explain what those values mean.

Addams Family: 35, 5, 42, 9, 16, 3, 8, 12

Muenster Family: 1, 5, 29, 3, 7, 35, 6, 9

regression

Regression

Correlation vs. Causation

slide3

MCC9-12.S.ID.5 Summarize categorical data for two categories in two-way frequency tables. Interpret relative frequencies in the context of the data (including joint, marginal, and conditional relative frequencies). Recognize possible associations and trends in the data.

  • MCC9-12.S.ID.6Represent data on two quantitative variables on a scatter plot, and describe how the variables are related.
  • MCC9-12.S.ID.9Distinguish between correlation and causation.
slide4
Correlation

Causation

Means that one thing will cause the other.

A statistical way to measure the relationship between two sets of data.

Means that both things are observed at the same time.

you can have correlation without causation

There is a correlation (relationship) between the number of firemen fighting a fire and the size of the fire.

(The more firefighters at the scene means that there is a bigger fire.)

However, this doesn’t mean that bringing more firemen will cause the size of the fire to increase

You can have correlation without causation
slide6

Is it Causation or Correlation?

Ex 1. A recent study showed that college students were more likely to vote than their peers who were not in school.

Correlation

Ex 2. Dr. Shaw noticed that there was more trash in the hallways after 2nd period than 1st period.

Correlation

Ex 3. You hit your little sister and she cries

Causation

measuring correlation

Correlation is measured by the correlation coefficient, R.

  • R is a number between -1 and 1.
  • There are 4 traits to correlation:
      • Form
      • Direction
      • Strength
      • Outliers
Measuring Correlation
slide8

Linear

Quadratic

No Correlation

Cubic

FORM

Exponential

direction

Positive Correlation

Negative Correlation

Direction
strength

Weak ---------------------------> Strong

R value (correlation coefficient)

0 ---------------------------> 1

Strength
put the correlation coefficients in order from weakest to strongest
Put the correlation coefficients in order from weakest to strongest

Ex 1: 0.87, -0.81, 0.43, 0.07, -0.98

Ex 2: 0.32, -0.65, 0.63, -0.42, 0.04

0.07, 0.43, -0.81, 0.87, & -0.98

0.04, 0.32, -0.42, 0.63, & -0.65

match the correlation coefficient to the graph
Match the Correlation Coefficient to the graph

Correlation Coefficients

-1

-0.5

0

0.5

1

Graph

match the correlation coefficient to the graph1
Match the Correlation Coefficient to the graph

Correlation Coefficients

-1

-0.5

0

0.5

1

Graph

match the correlation coefficient to the graph2
Match the Correlation Coefficient to the graph

Correlation Coefficients

-1

-0.5

0

0.5

1

Graph

match the correlation coefficient to the graph3
Match the Correlation Coefficient to the graph

Correlation Coefficients

-1

-0.5

0

0.5

1

Graph

match the correlation coefficient to the graph4
Match the Correlation Coefficient to the graph

Correlation Coefficients

-1

-0.5

0

0.5

1

Graph

slide18

Positive, Negative, or No Correlation?

  • The number of hours you work vs. The amount of money in your bank account

Positive

B. The number of hours workers receive safety training vs. The number of accidents on the job.

Negative

C. The number of students at Sephensonvs. The number of dogs in Atlanta

No Correlation

slide19

Positive, Negative, or No Correlation?

D. The number of heaters sold vs. The months in order from February to July

Negative

E. The number of rice dishes eaten vs. The number of cars on I-75 throughout the day

No Correlation

F. The number of calories burned/lost vs. The amount of hours walked

Positive

classwork

Classwork

Correlation Worksheet (with notes)

homework

Homework

Correlation & Causation Worksheet

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