Ap statistics section 3 1b correlation
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AP Statistics Section 3.1B Correlation. A scatterplot displays the direction , form and the strength of the relationship between two quantitative variables. Linear relations are particularly important because a straight line is a simple pattern that is quite common.

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A scatterplot displays the direction, form and the strengthof the relationship between two quantitative variables. Linear relations are particularly important because a straight line is a simple pattern that is quite common.


We say a linear relation is strong if and weak if
We say a linear relation is strong if and weak if

the points lie close to a straight line

they are widely scattered about the line.


Relying on our eyes to try to judge the strength of a linear relationship is very subjective. We will be determining a numerical summary called the __________.

correlation


The relationship is very subjective. We will be determining a numerical summary called the correlation ( r) measures the direction and the strength of the linear relationship between two quantitative variables.


The formula for correlation of variables x and y for n individuals is
The formula for correlation of variables relationship is very subjective. We will be determining a numerical summary called the x and y for n individuals is:


TI relationship is very subjective. We will be determining a numerical summary called the 83/84: Put data into 2 lists, say

STAT CALC 8:LinReg(a+bx) ENTER

Note: If r does not appear,2nd0 (Catalog)

Scroll down to “Diagnostic On”

Press ENTER twice


Find r for the data on sparrowhawk colonies from section 3 1 a
Find r for the data on relationship is very subjective. We will be determining a numerical summary called the sparrowhawk colonies from section 3.1 A


Important facts to remember when interpreting correlation relationship is very subjective. We will be determining a numerical summary called the :1. Correlation makes no distinction between __________ and ________ variables.

explanatory

response


2 r does not change when we change the unit of measurement of x or y or both
2. relationship is very subjective. We will be determining a numerical summary called the r does not change when wechange the unit of measurement of x or y or both.


3 positive r indicates a association between the variables and negative r indicates a association
3. Positive relationship is very subjective. We will be determining a numerical summary called the r indicates a ________ association between the variables and negative r indicates a ________ association.

positive

negative


4 the correlation r is always between and values of r near 0 indicate a very relationship
4. The correlation relationship is very subjective. We will be determining a numerical summary called the r is always between ___ and ___. Values of r near 0 indicate a very _____ relationship.

weak


Example 1 match the scatterplots below with their corresponding correlation r
Example 1: Match the relationship is very subjective. We will be determining a numerical summary called the scatterplots below with their corresponding correlation r





2 correlation does not describe curved relationships between variables no matter how strong
2. Correlation does not describe 5 curvedrelationships between variables, no matter how strong.




4. Correlation is not a complete summary of two-variable data. Ideally , give the mean and standard deviations of both x and y along with the correlation.


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