Statistics Unit 5

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How do you interpret r value?

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16 Terms

1

How do you interpret r value?

There is a (w, m, s), (pos, neg), linear relationship between x and y

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2

what is a weak correlation?

less than 0.5

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3

what is a moderate correlation?

0.5 to 0.8

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4

what is a strong correlation?

0.8 to 1

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5

what is a residual?

actual - predicted

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6

extrapolation

using model to make predictions outside range of data

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7

Slope interpretation

On average, for every increase in one x, we predict the y to (inc, dec) by slope units

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8

Y-int interpretation

When x variable is 0, we predict the y variable to be y-int

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9

what point will the LSRL always go through?

x bar, y bar

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10

how can you find b?

b = r(Sy / Sx)

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11

all influential points are outliers…

but NOT all outliers are influential

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12

what is an example of an outlier that is not influential?

an outlier in the same direction of the trend

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13

When a residual plot has a pattern…

a linear model will be a BAD fit

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14

coefficient of determination

R²

percent variation in the y can be explained by linear relationship between y and x

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15

R² formula

R² = 1 - (SSResid / SSTotal)

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16

Se

measures a typical amount of variability in the vertical distances from the y to the regression line

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