Simple Linear Regression Flashcards

1
Q

SLR model equation

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2
Q

SLR equation formatted for sample variables

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3
Q
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4
Q

LSE of β1

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5
Q

LSE of β0

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6
Q

Sxy

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7
Q

Sxx
(two forms)

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8
Q

β̂1 form with means

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9
Q

β̂1 form sample correlation

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10
Q

Sample standard deviation of x sx

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11
Q

Sample standard deviation of y sy

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12
Q

Sample correlation between x and y, r

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13
Q

Residual Sum of Squares

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14
Q

Total sum of squares

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15
Q

R2

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16
Q

Reg SS in terms of β̂1

A

Reg SS = β̂12Sxx

17
Q

Relationship between the correlation coefficient and coefficient of determination in an SLR model

18
Q

TSS in terms of s2y

19
Q

RSS equation using R2

20
Q

Reg SS equation using R2

21
Q

Mean squared error

22
Q

Residual standard error

23
Q

F-statistic

24
Q

F-statistic in terms of R2

25
Q

Variation of β̂0

26
Q

Variation of β̂1

27
Q

Estimated Variation of β̂0

28
Q

Estimated Variation of β̂1

29
Q

t-statistic

30
Q

Standard error of β̂0

31
Q

Standard error of β̂1