Chapter 10 - Correlation and Regression

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13 Terms

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straight line
A(n) ________ satisfies the** least- squares property** if the sum of the squares of the residuals is the smallest sum possible.
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Common errors
________ involving correlation: assuming that correlation implies causality, using data based on averages, ignoring the possibility of a nonlinear relationship.
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R
________ is very sensitive to outliers in the sense that a single outlier could dramatically affect its value.
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confidence interval
A** ________** is a range of values used to estimate a population parameter.
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coefficient of determination
The** ________** is the proportion of the variation in y that is explained by the regression line.
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residual plot
A** ________** is a scatterplot of the (x, y) values after each of the y- coordinate values has been replaced by the residual value y- y hat.
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total deviation
The** ________** of (x, y) is the vertical distance y- y bar, which is the distance between the point (x, y) and the horizontal line passing through the sample mean y hat.
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regression equation
The ________ algebraically describes the regression line.
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prediction interval
A** ________** is a range of values used to estimate a variable.
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R
________ measures the strength of a linear relationship.
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correlation
A  ____________ exists between 2 variables when the values of 1 variable are somehow associated with the values of the other variable


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 linear correlation

A ______________ exists between two variables when there is a correlation and the plotted points of paired data result in a pattern that can be approximated by a straight line
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linear correlation coefficient
The __________________ r measures the strength of the linear correlation between the paired quantitative x values and y values in a sample