Correlation vs. Causation

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Presentation transcript:

Correlation vs. Causation

Correlation Causation A statistical way to measure the relationship between two sets of data. Means that both things are observed at the same time. Means that one thing will cause the other.

You can have correlation without causation There is a correlation (relationship) between someone’s water bill increasing and their power bill increasing during the months of June, July, and August. However, this doesn’t mean that the using more power caused them to use more water or vice versa.

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. Taylor noticed that there was more trash in the hallways after 2nd period than 1st period. Correlation First two examples: correlations Last example: causation Ex 3. As a forest fire grows larger, more firefighters are called in to help. Causation

Measuring Correlation There are 4 traits to correlation: Form Direction Strength The Strength of Correlation is measured by the correlation coefficient, R. R is a number between -1 and 1. Outliers

Linear Quadratic No Correlation Cubic FORM  Exponential

Positive Correlation Negative Correlation Direction

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

Data that doesn’t fit in Outliers

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 Correlation Coefficients -1 -0.5 0 0.5 1

Match the Correlation Coefficient to the graph Correlation Coefficients -1 -0.5 0 0.5 1

Match the Correlation Coefficient to the graph Correlation Coefficients -1 -0.5 0 0.5 1

Match the Correlation Coefficient to the graph Correlation Coefficients -1 -0.5 0 0.5 1

Match the Correlation Coefficient to the graph Correlation Coefficients -1 -0.5 0 0.5 1

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 Draw a sketch of a graph to discuss…. C. The number of students at DMS vs. The number of dogs in Atlanta No Correlation

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

Correlation Worksheet (with notes) Classwork Correlation Worksheet (with notes)

Correlation & Causation Worksheet Homework Correlation & Causation Worksheet