Statistics Test 2 Johnson

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r^2

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r^2

Coefficient of Determination

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2
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r

Correlation Coefficient

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3
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...the line is a perfect positively sloped line.

If the r value is 1 then...

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4
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...the line is a perfect negatively sloped line.

If the r value is -1 then...

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5
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LinReg(ax+b) or LinReg(a+bx)

LSRL / Least Square Regression Line

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The difference between an actual value ( y ) and a predicted value ( y hat ). (y) - (y hat)

Residual

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Located below the LSRL

Negative Residual

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8
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Located above the LSRL

Positive Residual

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9
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Must be interpreted to help confirm a linear relationship.

Residual Plot

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10
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Must have a "good" r value and a "good" residual plot

Linear Relationship

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11
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Use technology or formulas for slope and y intercept from your formula sheet

Finding the LSRL

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Minimizes the sum of the areas formed by squaring the residuals.

Concept of the LSRL

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13
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In bi-variate data, drastically changes the r value, slope, and y intercept

Influential Point

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14
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Used to find a z score or location

invNorm

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15
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Used to find an area / probability

normalcdf

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...always located on the LSRL.

The coordinate x bar, y bar is ...

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