Question

1. A linear regression has the following equation: y = -9x + 2. How much would y change by, if x increases by 4? Answer with a positive number if y increases, and a negative number if y decreases.

2.A linear regression has the following equation: y = -0.52x + 10, with a coefficient of determination R2 = 0.64. What is the correlation coefficient, rounded to two decimal places?

3. A linear regression has the following equation: y = -0.36x + 10, with a correlation coefficient of R = -0.49. What is the coefficient of determination, rounded to two decimal places?

4. A linear regression has the following equation: y = 5.38x - 4.37, with a coefficient of determination of R2 = 0.87. How would you describe this correlation?

Answer #1

1) Here we have

y = -9x + 2

So if x increases by 4 units then there will be an increase of (-9)*4 units.

So there will be an increase of **-36** units in
y.

i.e. y will decrease by 36 units.

2) Here we have

So the correlation coefficient is

3) Here we have

coefficient of correlation = r = -0.49

So the coefficient of determination

4) Here the coefficient of determination = 0.52

This means that about 52% of the total variation in y is explained by this linear regression model.

Please give thumbs up if you like the answer.

The linear regression equation, Y = a +
bX, was estimated. The following computer printout was
obtained:
Given the above information, the value of the
R2 statistic indicates that
0.3066% of the total variation in X is explained by the
regression equation.
30.66% of the total variation in X is explained by the
regression equation.
0.3066% of the total variation in Y is explained by the
regression equation.
30.66% of the total variation in Y is explained by the
regression...

12.4 Study the following Minitab output from a regression analysis
to predict y from x.
a. What is the equation of the regression
model?
b. What is the meaning of the coefficient of
x?
c. What is the result of the test of the slope of
the regression model? Let α = .10.Why is the t ratio
negative?
d. Comment on r2 and the
standard error of the estimate.
e. Comment on the relationship of the F
value to the...

Linear Regression
Use linear regression to find the equation for
the linear function that best fits this data. Round both numbers to
two decimal places. Write your final answer in a form of an
equation y=mx+by=mx+b
x
1
2
3
4
5
6
y
98
122
156
176
213
219

Discuss the reasons and situations in which researchers would
want to use linear regression. How would a researcher know whether
linear regression would be the appropriate statistical technique to
use? What are some of the benefits of fitting the relationship
between two variables to an equation for a straight line?
Describe the error in the conclusion. Given: There is a linear
correlation between the number of cigarettes smoked and the pulse
rate. As the number of cigarettes increases the pulse...

Discuss the reasons and situations in which researchers would
want to use linear regression. How would a researcher know whether
linear regression would be the appropriate statistical technique to
use? What are some of the benefits of fitting the relationship
between two variables to an equation for a straight line?
Describe the error in the conclusion. Given: There is a linear
correlation between the number of cigarettes smoked and the pulse
rate. As the number of cigarettes increases the pulse...

Data Set:
x
y
0
4
2
2
2
0
5
-2
6
1
1. Find intercept b0
2. Find slope B1
3. Find the best fitted linear regression equation
4.Graph observations
5.Graph the linear equation on the same plot
6. Find the coefficient of Determination r²
7. Find the linear correlation coefficient r
8.Interpret r (the correlation between x & y)

For the following scores,
Participant
X
Y
A
1
3
B
3
5
C
2
1
D
2
3
A) Draw a scatterplot by hand. Upload a scanned
copy or picture of the scatterplot.
B)Based on the scatterplot:
The correlation between X and Y is zero
The correlation between X and Y is 1
The correlation between X and Y is positive
The correlation between X and Y is negative
C)Compute the Pearson Correlation
Coefficient
r =
Note: If it...

Linear RegressionUse linear regression to find the equation
for the linear function that best fits this data. Round both
numbers to two decimal places. Write your final answer in a form of
an equation y=mx+by=mx+b
x
1
2
3
4
5
6
y
95
104
129
147
159
166

A particular professor has noticed that the number of people,
y, who complain about his attitude is dependent on the
number of cups of coffee, x, he drinks. From eight days of
tracking he compiled the following data:
People
(y)
10
9
10
6
6
6
4
2
Cups of coffee
(x)
1
2
2
3
3
4
4
5
Unless otherwise stated, you can round values to two decimal
places.
a) Using regression to find a linear equation for...

. Estimate the regression equation by using the following data.
Also forecast the Sales for 2100 employees.
Employees
(No.)
Sales
(millions)
1995
145
2125
136
2136
131
2165
165
2239
139
2143
157
2235
164
2500
?
(a) Develop a scatter diagram.
(b) Determine the correlation coefficient.
(c) Determine the coefficient of determination
R2.
(d) Estimate the regression coefficients α and β of the equation
Y= α + β X + e?
(e) Forecast the annual gross sales for 2100...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 2 minutes ago

asked 2 minutes ago

asked 33 minutes ago

asked 51 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago