Question
In: Statistics and Probability
The following data were used in a regression study. Observation 1 2 3 4 5 6...
The following data were used in a regression study.
| Observation | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
|---|---|---|---|---|---|---|---|---|---|
|
xi |
2 | 3 | 4 | 5 | 7 | 7 | 7 | 8 | 9 |
|
yi |
5 | 5 | 4 | 7 | 4 | 6 | 9 | 5 | 11 |
(a) Develop an estimated regression equation for these data. (Round your numerical values to two decimal places.)
ŷ =
|
xi |
1 | 2 | 3 | 4 | 5 |
|---|---|---|---|---|---|
|
yi |
3 | 8 | 5 | 11 | 12 |
The estimated regression equation for these data is ŷ = 1.50 + 2.10x.
(b) Compute SSE, SST, and SSR using equations SSE = Σ(yi − ŷi)2, SST = Σ(yi − y)2, and SSR = Σ(ŷi − y)2.
SSE =
SST =
SSR =
(c) Compute the coefficient of determination r2.
r2 =
Solutions
Expert Solution
a)
y^ =3.12+0.54*x
2)
| SSE = 'Σ(Yi-Ŷ)2 = | 14.7000 | |
| SST = 'Σ(Yi-Y̅)2 = | 58.800 | |
| SSR = 'Σ(Ŷ-Y̅)2 = | 44.100 | |
c)
| Coeffficient of determination R^2 =SSR/SST= | 0.750 | ||
orchestra answered 2 years agoRelated Solutions
1.-The following data were used in a regression study. Observation 1 2 3 4 5 6...
1.-The following data were used in a regression study.
Observation
1
2
3
4
5
6
7
8
9
xi
2
3
4
5
7
7
7
8
9
yi
4
5
4
7
4
6
9
6
11
(a)Develop an estimated regression equation for these data.
(Round your numerical values to two decimal places.)
ŷ =______
2.-The following data show the brand, price ($), and the overall
score for six stereo headphones that were tested by a certain
magazine....
2. Consider the following data: x= 1, 2, 3, 4, 5 y =3, 2, 4, 6,...
2. Consider the following data:
x= 1, 2, 3, 4, 5
y =3, 2, 4, 6, 5
By hand, not using Matlab, and showing your work:
(a) Compute the correlation coefficient.
(b) Find the least-squares line.
(c) Find the standard deviation around the least-squares
line.
Find regression line for the data X 0 1 2 3 4 5 6 7 8  
Find regression line for the data
X
0 1 2 3 4 5 6 7 8 [3
MARKS]
Y 11 21 31 41 51 61 71 81 91
b.
X 0 2 4 6 8 10 [3
MARKS]
Y 12 15 17 18 20 22
Consider the following data table: x 8 5 4 6 2 5 3 y 1 3...
Consider the following data table:
x
8
5
4
6
2
5
3
y
1
3
6
3
7
2
5
(15 points) Create a scatterplot of the data either by hand or
with a computer. Does there appear to be a linear
relationship between x and y? If so,
what is the strength and direction of the relationship?
(20 points) Give the Simple Linear Regression Model, using
x as the predictor variable and y as the response
variable. What is the meaning...
The following data are provided. (Nonlinear regression using excel) x 1 2 3 4 5 y...
The following data are provided. (Nonlinear regression using
excel) x 1 2 3 4 5 y 2.2 2.8 3.6 4.5 5.5 Fit the model y=a+bx+c/x,
where a, b and c are constants for the model. Perform nonlinear
regression in EXCEL using solver to get model constants. Plot y
model (model and data) vs x to see the quality of fit.
ID X Y 1 2 3 2 3 6 3 4 6 4 5 7 5...
ID
X
Y
1
2
3
2
3
6
3
4
6
4
5
7
5
8
7
6
5
7
7
6
7
8
8
8
9
7
8
10
12
11
Test the significance of the correlation coefficient.
Then use math test scores (X) to predict physics test scores
(Y). Do the following:
Create a scatterplot of X and Y.
Write the regression equation and interpret the regression
coefficients (i.e., intercept and slope).
Predict the physics score for each....
[4 5 5 2 4 4 6 3 3 7 5 3 6 3 4 4...
[4 5 5 2 4 4 6 3 3 7 5 3 6 3 4 4 6 5 4 5 3 7 5 5 4 2 6 5 6
6]
This is my dataset
Find mean, median, mode, variance, standard deviation,
coefficient of variation, range, 70th percentile,
3rdquartile of the data and skewness and define what
each of these statistics measure. For example, mean is a measure of
the central tendency, what about the rest?
Use Chebyshev’s rule to find...
[4 5 5 2 4 4 6 3 3 7 5 3 6 3 4 4...
[4 5 5 2 4 4 6 3 3 7 5 3 6 3 4 4 6 5 4 5 3 7 5 5 4 2 6 5 6
6]
This is my dataset
Split the dataset in two equal parts. You have 30 datavalues.
If you split the data in two equal parts each part will contain 15
data values. Call the first part Y and second part
X.Draw scatter plot of the 2 datasets, X being on the horizontal...
tens Units 1 5 2 3 4 8 5 2 5 6 9 6 1 3...
tens
Units
1
5
2
3
4
8
5
2 5 6 9
6
1 3 5 4 7 9
7
0 0 4 5 6 9 9
8
1 3 5 6 8 9
9
0 1 2 3 5 9
The table represent a random sample of 31 test scores taken from
a large lecture class. Find the following [round to 2 decimal
points X. XX]
a) [2 pts] Find the 5 number summary [L, Q1, Q2, Q3,...
Given the following data, illustrate Selection Sort. index 1 2 3 4 5 6 data 11...
Given the following data, illustrate Selection
Sort.
index
1
2
3
4
5
6
data
11
10
21
3
7
5
ADVERTISEMENT
ADVERTISEMENT
Latest Questions
- Write a Java Program using the following instruction: Create the following 3 methods that calculate and...
- How would the S/D curves shift if a $3 tax was imposed on suppliers for each...
- Why should a time-based authentication system invalidate the current password on a successful authentication?
- Explain the difference between a market penetration strategy and a market development strategy.
- QUESTION 4 Discuss the sanctity of life versus the quality of life debate as presented by...
- 0.560 g He, 20.482 g F2, and 13.960 g Ar are placed in a 18.4-L container...
- Let X ∼ Pois(4), Y ∼ Pois(12), U ∼ Pois(3) be independent random variables. a) What...
ADVERTISEMENT