Question

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 the correlation coefficient must be –1.

Answer #1

1) The coefficient of determination measures the variation in the dependent variable that is explained by the "independent variable" not a regression model.

Therefore,

The answer is True.

2) As the age of computer increases, there resale value decreases.

Therefore,

The answer is False.

3) The variable that is being predicted in regression analysis is the "dependent variable"

not a independent variable.

Therefore,

The answer is False.

4) If there is no correlation between the independent and dependent variables, then the value of the correlation coefficient must be 0 (zero) not a -1.

Therefore,

The answer is False.

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...

Which of the following statements concerning regression and
correlation analysis is/are true?
A. If the correlation coefficient is zero, then there is no linear
relationship between the two variables.
B. A negative value for the correlation coefficient indicates that
high values of the independent variable are correlated with low
values of the dependent variable.
C. The slope coefficient for a simple linear regression model
measures the expected change in the independent variable for a unit
change in the dependent 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

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...

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...

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.

TRUE OR FALSE:
1. When the correlation coefficient is close to -1, that means
that there is no relationship between the independent variable and
the dependent variable.
2. When the correlation coefficient is close to -1, that means
that there is no relationship between the independent variable and
the dependent variable.
3. A correlation coefficient of -0.96 would mean that the values
of y decrease as the values of x increase.

1. A confidence interval for the true slope b1 can never be used
to test if b1 is equal to 0. (True/ False)
2. The coefficient of determination is the percent of total
variation explained by the regression model. (True/ False)
3. The coefficient of determination can never be greater than 1.
(True/ False)
4. The predictor variable in regression analysis is referred to
as the independent variable. (True/ False)

True or False: Assuming a linear relationship between X and Y,
if the coefficient of correlation (r) equals 0.50, this means that
50% of the variation in the dependent variable (Y) is due to
changes in the independent variable (X).

True or False: Assuming a linear relationship between X
and Y, if the coefficient of correlation (r)
equals 0.50, this means that 50% of the variation in the dependent
variable (Y) is due to changes in the independent variable (X).

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