Bivaraite Regression:Testing for Significant Slopes & Intercepts Flashcards
How do you know when a p-value is significant? Which hypothesis do you accept and reject?
p
What will the slope look like if the slope (b) of the Null Hypothesis (H0) is 0?
Horizontal Line
What will be the intercept (a) of the Null Hypothesis be?
0
What does tCV mean?
T-Critical Value
What does a larger Yprediction mean?
Larger Standard Estimated Error (SEe)
What is in between a YPi (Y Prediction Interval)?
real point on the line of best fit
What does a t>tcv mean?
t-test larger than critical value.
Yes? reject Null Hypothesis
No? Accept Null Hypothesis
What does a large t value mean?
likely significant
what does a small t value mean?
not significant
When finding students “t” value what variables are used?
Signal & Noise
What does a large (t) value mean?
large signal (numerator)
What does a small (t)value mean?
large noise (denominator)
What is the equation to find the (t) value when provided the slope (b)?
t = ______slope_______
Standard Error Slope
What is the equation to find the (t) value when provided the intercept (a)?
t = ______slope_______
Standard Error intercept
You will be given the standard error of intercept, but what is the equation for Standard Error for Slope (b)?
SEb = ___________SEe______________
SQRT (x-xbar)^2+(x-xbar)^2 +etc…..
What is the equation to find Degrees of Freedom for slope (b) and intercept (a)?
df= N-2
When using t test, is t>tcv? Is p <a></a>
Yes? Reject H0
No? Accept H0
When using the Confidence Interval, is the intercept (a) or (b) in the interval?
Yes? Accept H0
No? Reject H0
What is the equation for finding confidence interval (CI) for slope (b) or Intercept (a)?
Bci = b +/- tcV(SEb)
Aci= a +/- tcV (SEa)
95% interval is considered when between the high and low confidence intervals. What happens if 0 is in between the interval?
Yes? Accept H0
No? Reject H0
