Question

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 variable

dependent variable, independent variable

independent variable, independent variable

Answer #1

The **coefficient of partial determination**
measures the proportion of variation in the dependent variable that
is explained by each independent variable holding all other
independent (explanatory) variables constant.

The coefficient of partial determination measures the proportion
of variation in the **dependent** variablethat is
explained by each **independent** variable holding all
other independent (explanatory) variables constant.

If we have three predictors **coefficient of partial
determination tells us the percent of variation not explained by
one but expalined by other two.**

Answer True or False to the statements below.
1) The coefficient of determination measures the variation in
the dependent variable that is explained by the regression
model
2) A student might expect that there is a positive correlation
between the age of his or her computer and its resale value.
3) The variable that is being predicted in regression analysis
is the independent variable.
4) If there is no correlation between the independent and
dependent variables, then the value of...

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.

If the coefficient of correlation is 0.90, the percentage of the
variation in the dependent variable y that is explained by the
variation in the independent variable x is:
A. 81%
B. 0.81%
C. 90%
D. 0.90%
If the coefficient of determination is 0.975, then the slope of
the regression line:
A. could be either positive or negative
B. must be negative
C. must be positive
D. none of the above answers is correct

The proportion of explained variation is called the
__________________________________________
An assumption of linear regression states that for each value of
X, there is a group of Y values that are
statistically __________________ and normally distributed about the
regression line.
________________________________________
.
For an inverse relationship between two variables, the sign of
the correlation coefficient is __________________.
The standard error of the estimate measures the scatter or
dispersion of the observed values around a
__________________________________________________________

When attempting to determine a cost formula for mixed-costs,
regression analysis can be used. When considering if the projected
line is a “good fit,” the coefficient of determination or R2 is
evaluated. A coefficient of determination of 0.88 suggests that: A.
88% of the variation in the dependent variable is explained by the
changes in the independent variable(s) B. 88% of the variation in
the dependent variable is explained by the changes in factors other
than the chosen independent variables...

The proportion of explained variation is called the
_______________.
If there is absolutely no relationship between two variables,
Pearson's r will equal _____.
The _______________ principle is applied when calculating the
regression coefficients.
The _________________ of _________________ is expressed as a
percent, its value is between 0 and 100%.
In plotting paired data in a scatter diagram, the independent
variable is scaled on the __________________.

In a regression analysis, _____ represents the proportion of
variations in the dependent variable, Y, could be explained by the
independent variables (all the Xs).
R2
F statistics
t statistics
p value

ANSWER ALL IF POSSIBLE
QUESTION 1
The Independent Variable provides the basis for estimation. It
is the predictor variable.
True
False
QUESTION 2
There are two variables in correlation analysis referred to as
the dependent and
determinationvariables.
True
False
QUESTION 3
What is the range of values for a coefficient of
correlation?
0 to +1.0
-3 to +3 inclusive
-1.0 to + 1.0 inclusive
Unlimited Range
QUESTION 4
What does a coefficient of correlation of .70 infer?
Almost no correlation...

SUMMARY OUTPUT
Dependent
X variable:
all other variables
Regression Statistics
Independent
Y variable:
oil usage
Multiple R
0.885464
R
Square
0.784046
variation
Adjusted R Square
0.76605
Standard Error
85.4675
Observations
40
ANOVA
df
SS
MS
F
Significance F
Regression
3
954738.9
318246.3089
43.56737
4.55E-12
Residual
36
262969
7304.693706
Total
39
1217708
Coefficients
Standard Error
t Stat
P-value
Lower 95%
Upper 95%
Lower 95.0%
Upper 95.0%
Intercept
-218.31
63.95851
-3.413304572
0.001602
-348.024
-88.596
-348.024
-88.596
Degree Days
0.275079
0.036333
7.571119093
5.94E-09...

Econ 3050
Q7. When every member of the accessible population has an equal
chance of being selected to participate in the study, the
researcher is using:
a) Simple random sampling
b) Stratified random sampling
c) Convenience sampling
d) Purposive random sampling
Q8. A regression line has been found that has nearly all the
points lying directly on the line, and only a few of them stray
away from the line. Therefore, the standard error of the estimate
is likely to...

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