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AF Sections 3.2-3 handouts

# AF Sections 3.2-3 handouts - Chapter 3 Exploring the...

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1 Chapter 3 Exploring the relationship between two variables, an explanatory variable, and a response variable. The response variable depends on, or can be explained by the explanatory variable. Section 3.1: Two Categorical Variables Sections 3.2-3.4: Two Quantitative Variables Association between two Quantitative Variables What is the association between high school GPA and college GPA? Can high school GPA be used to predict college GPA? Identify the explanatory and response variables. Cut color clarity report carat price Vender Good J SI2 GIA 1.51 5763 B Good J SI2 GIA 1.50 6283 B Good J SI2 GIA 1.50 6396 B Good J SI2 GIA 1.39 5415 B Good J SI2 GIA 1.27 4580 B Good J SI2 GIA 1.23 4587 B Good J SI2 GIA 1 21 4556 B Is there an association between the size (carat) of a diamond and the cost of a diamond? 1.21 Good J SI2 GIA 1.21 4572 B Good J SI2 GIA 1.21 4475 A Good J SI2 GIA 1.27 4374 A Good J SI2 GIA 1.29 4654 A Good J SI2 GIA 1.33 5041 A Good J SI2 GIA 1.50 5386 A Good J SI2 GIA 1.50 5814 A Good J SI2 GIA 1.51 5980 A Good J SI2 GIA 1.53 6126 A Good J SI2 GIA 1.62 6415 A A data point is given by two values, ( x , y ). Explanatory variable, x Response variable, y Can the Explantory variable, x be used to predict the Response variable, y? Can the size of a diamond be used to predict its cost? Monopoly Explanatory Variable: x = # Spaces from GO Response Variable: y = Cost of Property Monopoly Sample Property # spaces from GO x Cost y Reading Railroad 5 \$200 Virginia Ave. 14 \$160 Illinois Ave. 24 \$240 North Carolina Ave. 32 \$300

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2 300 Scatterplot A graphical display for two quantitative variables. The data pairs, ( x , y ) are plotted with x values on the horizontal axis and the values on the vertical axis. 10 20 30 150 200 250 Spaces GO Cost Examining a Scatterplot Does there appear to be an association? Do certain values of x seem to be associated with certain values of y? Is the association positive or negative? positive: as x increases, y increases negative: as x increases, y decreases Does there appear to be a linear association? Examine the scatterplot below.
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