Question

Regression:

It DOES NOT matter which is the explanatory/independent variable and which is the response/dependent variable for ____, but it DOES matter for ____.

Answer #1

We know that the correlation coefficient between two variables depends on their data sets, but does not depends on the dependent variable or independent variable

so,we can say that correlation coefficient r is independent from variable type

Slope is defined as the change in y or dependent variable per unit change in the independent variable

so, it does matter for the slope that which variable is independent and which is dependent variable

therefore, we can write

It DOES NOT matter which is the explanatory/independent variable and which is the response/dependent variable for correlation coefficient r, but it DOES matter for slope

In linear regression, the independent variable is called the
a. Response Variable
b. The explanatory variable
c. The extrapolted variable
d. an outlier
A graph that will help to one to see what type of curve might
best fit the bivariate data
a. Pie chart
b. stem-leaf plot
c. dot plot
d. scatter plot
The technique of extending a regression line beyond the region
of the actual data
a. Least Squares Regression
b. Variability
c. Extrapolation
d. Residual analysis
The...

Of the two variables, HighJump and LongJump
,which do you think should be the explanatory variable and
which should be the response variable? Or, does the choice
not matter, as neither is “prior” to the other? On your scratch
paper, identify which variable you have chosen as the explanatory
variable and by hand use the means, sd, and the r given to
find the equation of the Least Squares Regression line. Then
reverse your choices for explanatory variable and response...

The coefficient of determination will increase when another
explanatory variable is added to the regression model even if the
new explanatory variable does not have a statistically significant
relationship with the dependent variable.
True
False

A regression between foot length (response variable in cm) and
height (explanatory variable in inches) for 31 students resulted in
the following regression equation: y = 22 + 0.18 x. One student in
the sample was 73 inches tall with a foot length of 29 cm. What is
the predicted foot length for this student?

For the purposes of testing for a correlation, does it matter
which variable is labeled X and which is labeled Y?
A. No it does not matter; the estimate of a correlation (and
correlation test) is symmetric.
B. Yes, it does matter; the strength of the correlation (and the
result of the correlation test) will depend on which you variable
you pick as the explanatory variable.

In regression analysis, a higher correlation between the
dependent variable and the independent variable indicates a higher
estimated slope.

1,
The _________________measures the proportion of variation in the
dependent variable that is explained by each independent variable
holding all other independent (explanatory) variables constant.
coefficient of regression
coefficient of correlation
coefficient of partial determination
coefficient of multiple determination
2,
The coefficient of partial determination measures the proportion
of variation in the ______________ that is explained by each
____________ holding all other independent (explanatory) variables
constant.
dependent variable, dependent variable
independent variable , dependent...

In a logit or logistic regression, to convey the influence of an
explanatory variable ? on the probability of observing a one for
the dependent variable, best practice is to report the average of
the slope coefficient estimates for ? over all observations in the
sample.

Regression ____ (b values) indicate how much influence each
independent variable has on the dependent variable.
Regression analysis serves two main purposes: to define the
relationship between variables and to ____ values of the dependent
variable using what we know about the existing correlation between
the variables.
The coefficient of multiple determination, R^2, is interpreted
as the percentage of ____ in the dependent variable that is
explained by the independent variable.

What does statistical significance of an independent
variable mean? Why does it matter?

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