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SCATTERPLOT AND PERSONS PRODUCT- MOMENT CORRELATION COEFFICIENT. EXERCISE 2E AND 2F

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A visual display of the relationship between two numerical variables. SCATTERPLOTS

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ANALYSING SCATTERPLOTS

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SCATTERPLOT GALLERY POSITIVE RELETIONSHIP

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NEGATIVE RELATIONSHIP

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PERFECT LINEAR RELATIONSHIP

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NO LINEAR RELATIONSHIP

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DESCRIBE THIS CORRELATION

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SCATTERPLOT Decide whether or not a relationship exists between the variables and, if it does, comment on whether it is positive or negative; weak, moderate or strong: and whether or not it has a linear form

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EXAMPLE Data showing the average weekly number of hours studied by each student in year 12 at Strathmore Secondary College and the corresponding height of each student.

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PEARSONS PRODUCT-MOMENT CORRELATION COEFFICIENT

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PLEASE ADD THIS TO YOUR NOTES!!! THIS IS FOUND ON PG 87 OF YOUR TEXTBOOK.

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EXAMPLE

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There is a formula, but r is often done using CAS calculator. There are two limitations when using r: 1. Since r measures the strength of a linear relationship, it would be inappropriate to calculate r for data which are not linear. 2. Outliers can bias the value of r. Therefore, it will make it an unreliable measure of the strength of that linear relationship. CALCULATING R AND THE COEFFICIENT OF DETERMINATION WE MUST DRAW A SCATTERPLOT FIRST IN ORDER TO CHECK FOR A LINEAR FORM BEFORE r IS CALCULATED

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COMPLETE EXERCISE 2E PG 85 QS 1-6 COMPLETE EXERCISE 2F PG 88 QS 1-4 CLASSWORK/HOMEWORK

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Example 1: page 161 #5 Example 2: page 160 #1 Explanatory Variable - Response Variable - independent variable dependent variable.

Example 1: page 161 #5 Example 2: page 160 #1 Explanatory Variable - Response Variable - independent variable dependent variable.

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