Bivaraite Regression:Testing for Significant Slopes & Intercepts Flashcards

1
Q

How do you know when a p-value is significant? Which hypothesis do you accept and reject?

A

p

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2
Q

What will the slope look like if the slope (b) of the Null Hypothesis (H0) is 0?

A

Horizontal Line

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3
Q

What will be the intercept (a) of the Null Hypothesis be?

A

0

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4
Q

What does tCV mean?

A

T-Critical Value

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5
Q

What does a larger Yprediction mean?

A

Larger Standard Estimated Error (SEe)

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6
Q

What is in between a YPi (Y Prediction Interval)?

A

real point on the line of best fit

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7
Q

What does a t>tcv mean?

t-test larger than critical value.

A

Yes? reject Null Hypothesis

No? Accept Null Hypothesis

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8
Q

What does a large t value mean?

A

likely significant

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9
Q

what does a small t value mean?

A

not significant

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10
Q

When finding students “t” value what variables are used?

A

Signal & Noise

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11
Q

What does a large (t) value mean?

A

large signal (numerator)

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12
Q

What does a small (t)value mean?

A

large noise (denominator)

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13
Q

What is the equation to find the (t) value when provided the slope (b)?

A

t = ______slope_______

Standard Error Slope

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14
Q

What is the equation to find the (t) value when provided the intercept (a)?

A

t = ______slope_______

Standard Error intercept

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15
Q

You will be given the standard error of intercept, but what is the equation for Standard Error for Slope (b)?

A

SEb = ___________SEe______________

SQRT (x-xbar)^2+(x-xbar)^2 +etc…..

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16
Q

What is the equation to find Degrees of Freedom for slope (b) and intercept (a)?

A

df= N-2

17
Q

When using t test, is t>tcv? Is p <a></a>

A

Yes? Reject H0

No? Accept H0

18
Q

When using the Confidence Interval, is the intercept (a) or (b) in the interval?

A

Yes? Accept H0

No? Reject H0

19
Q

What is the equation for finding confidence interval (CI) for slope (b) or Intercept (a)?

A

Bci = b +/- tcV(SEb)

Aci= a +/- tcV (SEa)

20
Q

95% interval is considered when between the high and low confidence intervals. What happens if 0 is in between the interval?

A

Yes? Accept H0

No? Reject H0