Question
In: Statistics and Probability
9) Use the following data to estimate a linear regression equation between y and x. Interpret...
9) Use the following data to estimate a linear regression equation between y and x. Interpret the estimated slope coefficient. Predict y for an x value of 9. Calculate and interpret the model’s R-squared.
| x | y |
| 21 | 12 |
| 17 | 10 |
| 11 | 8 |
| 3 | 5 |
| 13 | 15 |
Solutions
Expert Solution
Here we get slope = 0.380 (Rounded to three decimal places)
It represents if we change the value of x then the value of y will be changed by 0.380
For x = 9 we get y^ = 8.478 (Rounded to three decimal places)
We get R2 = 0.4591
It represents the proportion of variance explained by x in y.
Here 45.91% proportion of variance explained by x in y.
Hope this will help you. Thank you :)
orchestra answered 2 years agoRelated Solutions
Use Excel to estimate a simple linear regression model for the following data (Y is a...
Use Excel to estimate a simple linear regression model for the
following data (Y is a dependent variable and X is an independent
variable):
Y
X
0
-2
0
-1
1
0
1
1
3
2
Fill in Multiple Blanks:
What is the slope of the estimated line? In your
answer, show one (1) digit to the right of the
decimal point, for example, 1.0, 1.2. Apply the appropriate
rounding rule if necessary.
What is the Y-intercept?
estimate the following linear regression equation using the data below: y=B0+B1X In this exercise, you need...
estimate the following linear regression equation using the data
below: y=B0+B1X In this exercise, you need to estimate ŷ values for
given y and x values using Excel. What are the estimated values of
B0 and B1 ? x = 2, 4, 6, 8, 10 y = 10, 12, 20, 25, 40 ŷ =
D. Find a linear (regression) equation with following data. x y 70 25 65 20 60 ...
D. Find a linear (regression)
equation with following data.
x y
70 25
65 20
60 30
50 35
45 40
Ans.: y = ( ) + ( ) * x.
Show your work.
For the following data, find the regression equation for predicting Y from X X Y 1...
For the following data, find the regression equation for
predicting Y from X
X
Y
1
2
4
7
3
5
2
1
5
8
3
7
1a.
Group of answer choices
a. Ŷ = -2X + 8
b. Ŷ =2X + 8
c. Ŷ =1.8X - 0.4
d. Ŷ =1.8X + 0.4
1b.
For the following scores, find the regression equation for
predicting Y from X
X
Y
3
8
6
4
3
5
3
5
5
3
Estimate the multiple linear regression equation for the given data 1 2 &n
Estimate the multiple linear regression equation
for the given data
1
2
3
4
10
1
2
3
12
18
24 30
Estimate the multiple linear regression equation y with
overparenthesis on top equals b subscript 0 plus b subscript 1 x
subscript 1 plus b subscript 2 x subscript 2 for the given
data
x subscript 1
1 2 3 4
x subscript 2
10 1 2 3
y
12 18 24 30
Determine the regression equation (write the regression equation) of the following data, where Y is the...
Determine the regression equation (write the regression
equation) of the following data, where Y is the dependant variable
and X is the predictor:
X
Y
5
85
4
103
6
70
5
82
5
89
5
98
6
66
6
95
2
169
7
70
7
48
b) Interpret the regression coefficients.
c) Graph the regression line.
d) Use the regression equation to predict Y for
X=3.
e) Compute the coefficient of
determination.
f) Interpret the coefficient of
determination.
g)...
You will need to use Excel Regression Data Analysis to estimate the following linear model of...
You will need to use Excel Regression Data Analysis to estimate
the following linear model of Texas Natural Gas Utility Residential
Demand: (1) QRES = α + β1*PRES + β2*RES + β3*INCOME where QRES =
Quantity demand (mcfs) of residential customers PRES = Price per
mcf, RES = number of residential customers, INCOME = per capita
income, The data below are actual publicly available residential
demand data for city/town natural gas distribution utilities in
Texas.
You can copy and paste...
Estimate a simple linear regression model and present the estimated linear equation. Display the regression summary...
Estimate a simple linear regression model and present the
estimated linear equation. Display the regression summary table and
interpret the intercept and slope coefficient estimates of the
linear model.
Estimate
a simple linear regression model and present the estimated linear
equation. Display the regression summary table and interpret the
intercept and slope coefficient estimates of the linear model.
Estimate a simple linear regression model and present the estimated linear equation. Display the regression summary...
Estimate a simple linear regression model and present the
estimated linear equation. Display the regression summary table and
interpret the intercept and slope coefficient estimates of the
linear model.
a. Estimate the regression equation and determine the predicted values of y b. Use the predicted...
a. Estimate the regression equation and determine the predicted
values of y
b. Use the predicted values and the actual values of y to
calculate the residuals
c. Plot the residuals (vertical axis) against the predicted
values (horizontal axis).
d. Does it appear that heteroscedasticity is a problem?
Explain
e. Draw a histogram of the residuals. Does it appear that the
errors are normally distributed? Explain.
f. Use the residuals to identify possible outlier(s)
Weight
Price
27
12.02
28.5
12.04...
ADVERTISEMENT
ADVERTISEMENT
Latest Questions
- I need some good/new/not common research topics for my proposal assignment (Don't Need Political Topics, Technology...
- Write a C++ program that reads integers from standard input until end of file. Print out...
- Woo Audio is a small company in New York that makes high-quality headphone amplifiers. The company...
- How are users categorized? In Linux, which user has all the privileges? Why do we need...
- Force Table: If the center ring were to have considerable mass, what effect would it have...
- 1. Mark Welsch deposits $7,100 in an account that earns interest at an annual rate of...
- Can someone please explain to me what are the differences between Windows and Linux memory hierarchy,...
ADVERTISEMENT