Question

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)

Answer #1

Solution1:

we can use confidence interval to accept or reject null hypothesis that slope is 0

if confidence interval contains 0 then accept null hypothesis that b1 is equal to 0

if confidence interval does not contains 0,reject null hypothesis that b1 is not equal to zero

**FALSE**

2. The coefficient of determination is the percent of total variation explained by the regression model. (True/ False

we say

if we get r sq=0.80

80% of variation is explained by model

**TRUE**

Solution3: r sq value lies in between 0 to 1

0<=r^2<=1

it can never exceed 1

**TRUE**

Solution4:

a predictor variable is a variable used in regression to predict another variable.sometimes referred to as an independent variable

**TRUE**

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 regression line can never be used for prediction. True
False
The slope is the amount Y changes for every increase in X. True
False
"When you calculate a regression equation, you want the line
with the most error. " True False
"Correlation measures the linear relationship between two
variables, while a regression analysis precisely defines this line.
" True False
The predicted value based on a regression equation is a perfect
prediction. True False
What represents the intercept (the...

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...

In the simple linear regression model estimate Y =
b0 + b1X
A. Y - estimated average predicted value, X –
predictor, Y-intercept (b1), slope
(b0)
B. Y - estimated average predicted value, X –
predictor, Y-intercept (b0), slope
(b1)
C. X - estimated average predicted value, Y –
predictor, Y-intercept (b1), slope
(b0)
D. X - estimated average predicted value, Y –
predictor, Y-intercept (b0), slope
(b1)
The slope (b1)
represents
A. the estimated average change in Y per...

For a given population with unknown mean
The size of the 95% confidence interval for the mean is
smaller than that of the 99% confidence interval
True
b)
False
In a Least Square Method, the Coefficient of
Determination
Provides the value of the slope of the SLR model
True
b)
False
Can vary between 0 and 1
True
b)
False
Can vary between -1 and 1
True
b)
False
Provides the intercept of the SLR model...

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...

A 95% confidence interval for the slope of a regression line is
found to be (-0.32, 1.56). Which of the following statements is a
valid conclusion from this interval?
The regression line is only valid for values of the independent
variable between -0.32 and 1.56.
There is a 95% chance that the true slope of the regression line
is positive.
There is sufficient evidence to conclude that the true slope of
the regression line is not 0.
There is insufficient...

Answer True or False to each of the
following.
The terms “independent” variable and “predictor” variable are
synonymous.
If a test is run and p=0.04, then we can reject H0 at
a=0.01.
The larger the n, the wider the confidence interval.
When r=1, all of the change in Y is explained by changes in
X.

t distributions can be used to test whether the slope in a
regression is different from zero.
true or false?

True/False, if false briefly explain.
1. The margin of error for a confidence interval used for an
opinion poll does not take into account the fact that people who
did not answer the poll questions may have had different responses
from those who did answer the questions.
2. If the p-value for a significance test is 0.35, we can
conclude that the null hypothesis has a 35% chance of being
true.
3. A student project used a confidence interval to...

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