9.1-9.3

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14 Terms

1
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population
Muy=alpha+Bx
2
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sample
y-hat=a+bx
3
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sampling distribution of b
unimodal curve

N(0, sigma\*b → sigmaSEb)
4
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statstic
y-int a

slope b

SD of residuals S

SD of slope SEb
5
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parameter
y-int alpha

slope B

SD of residuals sigma

SD of slope sigma b
6
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Confidence Intervals for Slope 1) state:
parameter: true slope of the population

LSRL for x context vs. y context

statistic = b

confidence level
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Confidence Intervals for Slope 2) plan:
Linear: The scatterplot needs to show a linear relationship. Also, the residual plot doesn’t have a leftover curved pattern.

Independent: 10% rule

Normal: A dot plot of the residuals cannot show strong skew or outliers

Equal SD: The residual plot does not show a clear sideways Christmas tree pattern

Random
8
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Confidence Intervals for Slope 3) do:
By Hand

b+-t\*SEb

t\* = invT (tail %, df (n-2) use positive slope

__OR__ LinRegTInt
9
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Confidence Intervals for Slope 4) conclude:
We are % confident that the interval (*,*) captures the true slope of x-int v. y-int.
10
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Significance Test for Slope 1) state:
parameter in context

H0, Ha

alpha
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Significance Test for Slope 2) plan:
1 sample t-test (for slope)

LINER
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Significance Test for Slope 3) do:
b-B/SEb graph with df & shading

tcdf LABELED

__OR__ calculator LinRegTTest
13
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Significance Test for Slope 4) conclude:
p vs. alpha

reject/fail to reject

convincing evidence?
14
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df=
n-2