Question

A regression analysis is a statistical assessment of the association between two variables, one of which is dependent and the other, independent. The dependent variable is y and the independent variable is x. Regression analysis is used to find the relationships between these variables. Variables within a regression analysis can be negatively correlated or positively correlated.

A situation in which one could model a regression analysis could be the association of hours studied and a grade on a test. The independent variable in this situation is the hours studied, and the dependent variable is the grade on the test because the grade is dependent on hours studied. The amount of hours one studies has a direct impact on a grade on a test. The relationship between hours studied and the grade on the test is positive because the more hours one studies, theoretically, the better their grade should be.

Write about a real-life situation from which one could model a regression. Explain the situation in detail, and specifically, the independent variable and dependent variable.

Answer #1

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....

Hours spent asleep and anxiety are negatively correlated.
Describe the association between these two variables (sleep and
anxiety) in words.

A statistical measure of the association between two
variables is called a
independent variable
b.
correlation coefficient
c.
dependent variable
d.
placebo
e.
control variable

Say your supervisor performs a regression and later find that
one of your independent variables (X1) is
correlated with another variable that you did not include the
regression (X2), and this other variable
might better explain the variance in the dependent variable
(Y). Explain what is likely to happen if your
supervisor conducts another regression with both of these
independent variables included in the model.

When you are presented with a Pearson’s correlation
coefficient between two variables for which an increase in one
predicts a decrease in the other, and vice versa, the Pearson’s
number will be
zero; the Pearson number is only meaningful if the
variables move in the same direction as one another
close to -1 if the correlation is strong, negative but
near zero if the correlation is weak
close to -1 if the correlation is strong, close to +1
if the...

This analysis involves two variables, gender and attitudes
toward teen sex. Which is your dependent variable? Which is your
independent variable? (10 points)
Independent variable: Gender
Dependent variable: Attitudes toward
teen sex
What is the level of measurement for each variable? (10
points)
Gender ______________________
Attitudes towards teen sex _______
What are the null and alternative hypotheses regarding the
potential association between gender and attitudes toward teen sex?
(10 points)
Null hypothesis
______________________
Alternative hypothesis
_________________

If a regression analysis was to be completed on body mass index
(BMI), what could be an independent variable in that analysis? Why?
If we could, what other independent variables should be included in
the analysis? What statistic(s) would show the value of that
regression in understanding BMI? Alternatively, find an article
that uses regression analysis to study a medical concern. In that
study, what was the dependent variable and what were the
independent variable(s)? Further, how would you use...

If a regression analysis was to be completed on body mass index
(BMI), what could be an independent variable in that analysis? Why?
If we could, what other independent variables should be included in
the analysis? What statistic(s) would show the value of that
regression in understanding BMI? Alternatively, find an article
that uses regression analysis to study a medical concern. In that
study, what was the dependent variable and what were the
independent variable(s)? Further, how would you use...

A sample of 12 observations collected in a regression study on
two variables, x(independent variable) and y(dependent variable).
The sample resulted in the following data.
SSR=77, SST=88, summation (x_i-xbar)2=23,
summation (x_i-xbar)(y_i-ybar)=44.
Calculate the t test statistics to determine whether a
statistically linear relationship exists between x and y.
A sample of 7 observations collected in a regression study on
two variables, x(independent variable) and y(dependent variable).
The sample resulted in the following data.
SSR=24, SST=42
Using a 0.05 level of significance,...

A cost accountant wants to study the cost behavior of financial
information and performs a regression analysis on 12 months of
data. The dependent variable is overhead costs and the independent
variable is machine hours. The co-efficient of determination is
0.83.
Which of the following is true?
I. Machine hours and overhead costs are negatively
correlated.
II. The coefficient of correlation is approximately 91%
III. Machine hours account for about 61% of the variation in
overhead costs....

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