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How will the procedure change if we test whether the coefficient is equal to a
constant?
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1 we do not transform
We reject the null hypothesis if the t-value in absolute value is larger than the t critical
point for alpha over 2 with n-p-1 degrees of freedom.
2
If the p-value is small, for example smaller than .01, we reject the null hypothesis that β0
is equal to the null value b.
3 intercept parameter (the value at which the line intersects the y-axis)
4 when multiple predictions are made jointly.
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Terms in this set (194)
we do not transform If λ=1
Regression analysis is one of the non-deterministic
simplest ways we have in statistics to
investigate the relationship between
two or more variables in a ___ way
The response variable is a ___ random
variable, because it varies with
changes in the predicting variable, or
with other changes in the
environment
The predicting variable is a ___ fixed
variable. It is set fixed, before the
response is measured.
regression analysis involving one simple linear regression
independent variable and one
dependent variable in which the
relationship between the variables is
approximated by a straight line
, A statistical method used to model Multiple Linear Regression
the relationship between one
dependent (or response) variable
and two or more independent (or
explanatory) variables by fitting a
linear equation to observed data
a regression model which does not polynomial regression
assume a linear relationship; a
curvilinear correlation coefficient is
computed (we can think of X and X-
squared as two different predicting
variables)
1) Prediction three objectives in regression
2) Modeling
3) Testing hypothesis
We want to see how the response Prediction
variable behaves in different settings.
For example, for a different location,
if we think about a geographic
prediction, or in time, if we think
about temporal prediction
modeling the relationship between Modeling
the response variable and the
explanatory variables, or predicting
variables
of association relationships Testing hypotheses