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Published byBeverley Goodman Modified over 9 years ago
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Quantitative assessment of the strength of the relationship between x & y. It is the measure of the extent to which x & y are linearly related. *It is strong if the points lie close to a straight lint and is weak if they are widely scattered about a line.
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It’s a number between -1 and 1. The closer it is to the ends, the stronger the positive or negative relationship. It gives the strength and direction. 0 1 Strong Positive No Correlation Strong Negative
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www.whfreeman.com/tps4e www.whfreeman.com/tps4e
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Think about z-scores of the x & y
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xy 65 103 147 198 2112
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xy 15219 27189 31195 42173 88121 92138 66152 51140
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xy 2762 3887 4266 5849 1923 3151
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If you are asked to interpret a correlation start by looking at a scatterplot of the data. Then be sure to address direction, form, strength, and outliers and put your answer in context.
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It does not depend on the unit of measurement. It doesn’t depend upon which of the 2 variables is “x” It’s between -1 and 1 It equals -1 or 1 if all points lie on a straight line It is strongly affected by a few outliers
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Scatterplots show relationships – not cause and effect.
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Apples: circumference, weight College freshmen: shoe size, weight People: age, grip strength Drivers: blood alcohol, reaction time
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Create scatterplot Find the correlation Describe the association Fat (g)Sodium 19920 311500 341310 35860 391180 39940 431260
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There appears to be a (strong, weak, moderate) (positive/negative) (linear, nonlinear) relationship between _____ (give the x variable) and ______ (give the y variable) Do not just say between x & y!
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SAT-mathSAT-verbal 680780 450570 440550 610500 730720 530570 700600 640530 740800
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