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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 .

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Warm-up March 21, 2013

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  1. 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

  2. Regression Correlation vs. Causation

  3. 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.

  4. 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.

  5. 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

  6. 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

  7. 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

  8. Linear Quadratic No Correlation Cubic FORM  Exponential         

  9. Positive Correlation Negative Correlation Direction

  10. Weak ---------------------------> Strong R value (correlation coefficient) 0 ---------------------------> 1 Strength

  11. Data that doesn’t fit in Outliers

  12. 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

  13. Match the Correlation Coefficient to the graph Correlation Coefficients -1 -0.5 0 0.5 1 Graph

  14. Match the Correlation Coefficient to the graph Correlation Coefficients -1 -0.5 0 0.5 1 Graph

  15. Match the Correlation Coefficient to the graph Correlation Coefficients -1 -0.5 0 0.5 1 Graph

  16. Match the Correlation Coefficient to the graph Correlation Coefficients -1 -0.5 0 0.5 1 Graph

  17. Match the Correlation Coefficient to the graph Correlation Coefficients -1 -0.5 0 0.5 1 Graph

  18. 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

  19. 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

  20. Classwork Correlation Worksheet (with notes)

  21. Homework Correlation & Causation Worksheet

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