chapter 7 Flashcards
These two characteristics are the
basis for an equation for a straight
line
Slope and Intercept
With a linear regression, we are trying
to _________ ___ based on values of
___.
Predict Y based on values of X
The differences between the observed and
predicted values in a regression represent:
______.
Error
The sum of the prediction errors (Σ (Y - Y’)) always equals ___.
zero
Name the components of:
Y’ = bᵧX + aᵧ
Y’ refers to:
The estimated value of Y
Name the components of:
Y’ = bᵧX + aᵧ
bᵧ refers to:
the slope of the line of best fit
Name the components of:
Y’ = bᵧX + aᵧ
X refers to:
the value of X for predicting Y
Name the components of:
Y’ = bᵧX + aᵧ
aᵧ refers to:
the Y axis intercept
Given the following set of X, we should not try to predict Y when X > ?
X = [2, 2.5, 2.8, 3.0, 3.2, 3.5, 4.0, 4.2, 4.4, 4.9, 5.0]
The highest value of X (5.0)
This statistic is much like the standard deviation and is used to quantify prediction errors. This is the ________________
Standard error of estimate
Approximately _____ percent of the observations will fall within one standard error of the estimate
68
The standard error of estimate tells us ___
how far away, on average, a point will be from the regression line
The lower the standard error of estimate…
the more confident you can be
Regression =
progression