Question
In: Statistics and Probability
Given are five observations for two variables, x and y. xi 1 4 11 15 20...
Given are five observations for two variables, x and y.
| xi | 1 | 4 | 11 | 15 | 20 |
| yi | 52 | 57 | 48 | 16 | 10 |
a. Compute SSE, SST, and SSR.
SSE [ ] (to 2
decimals)
SST [ ] (to 2
decimals)
SSR [ ] (to 2
decimals)
b. Compute the coefficient of determination
r2. Comment on the goodness of
fit.
[ ] (to 3 decimals)
The least squares line provided an [good,bad] fit;
[ ]% of the variability in
y has been explained by the estimated regression
equation (to 1 decimal).
c. Compute the sample correlation coefficient.
Enter negative value as negative number.
[ ] (to 3 decimals)
Solutions
orchestra answered 2 years agoRelated Solutions
Given are five observations for two variables, x and y. xi 1 2 3 4 5...
Given are five observations for two variables, x and
y.
xi
1
2
3
4
5
yi
4
7
7
11
15
The estimated regression equation for these data is ŷ = 1 +
2.6x.
Compute SSE, SST, and SSR using the following equations (to 1
decimal).
SSE
SST
SSR
Compute the coefficient of determination r2
(to 3 decimals).
Does this least squares line provide a good fit?
Compute the sample correlation coefficient (to 4
decimals).
Given are five observations for two variables, x and y. xi 1 2 3 4 5...
Given are five observations for two variables, x and
y.
xi
1
2
3
4
5
yi
3
8
6
11
13
Round your answers to two decimal places.
a. Using the following equation:
Estimate the standard deviation of ŷ* when x = 4.
b. Using the following expression:
Develop a 95% confidence interval for the expected value of
y when x = 4.
to
c. Using the following equation:
Estimate the standard deviation of an individual value of
y...
Given are five observations for two variables, x and y. xi 1 2 3 4 5...
Given are five observations for two variables, x and y. xi 1 2 3
4 5 yi 4 7 6 12 14 Round your answers to two decimal places. a.
Using the following equation: Estimate the standard deviation of ŷ*
when x = 3. b. Using the following expression: Develop a 95%
confidence interval for the expected value of y when x = 3. to c.
Using the following equation: Estimate the standard deviation of an
individual value of y...
Given are five observations for two variables, x and y. xi 1 2 3 4 5...
Given are five observations for two variables, x and y. xi 1 2 3
4 5 yi 4 7 6 12 14 a. Using the following equation: 12.32a.jpg
Estimate the standard deviation of ŷ* when x = 3. b. Using the
following expression: 12.32b.jpg Develop a 95% confidence interval
for the expected value of y when x = 3. c. Using the following
equation: 12.32c.jpg Estimate the standard deviation of an
individual value of y when x = 3. d....
1.-Given are five observations for two variables, x and y. xi 1 2 3 4 5...
1.-Given are five observations for two variables, x and
y.
xi
1
2
3
4
5
yi
4
7
4
10
15
(d) Develop the estimated regression equation by computing the
values of b0 and b1 using b1
=(Σ(xi − x)(yi − y))/Σ(xi −
x)2 and b0 = y −
b1x.
(e)Use the estimated regression equation to predict the value of
y when x = 2.
2.-Companies in the U.S. car rental market vary greatly in terms
of the size of...
Given are data for two variables, x and y. xi 6 11 15 18 20 yi...
Given are data for two variables, x and y.
xi
6
11
15
18
20
yi
7
7
13
21
30
(a)
Develop an estimated regression equation for these data. (Round
your numerical values to two decimal places.)
ŷ =
(b)Compute the residuals. (Round your answers to two decimal
places.)
xi
yi
Residuals
6
7
11
7
15
13
18
21
20
30
(c)Develop a plot of the residuals against the independent
variable x.
a) A residual plot has 5...
Given are data for two variables, x and y. xi 6 11 15 18 20 yi...
Given are data for two variables, x and y.
xi 6 11 15 18 20
yi 6 8 12 20 30
Use the facts that ̄x= 14, ̄y= 15.2, ˆy=−7.02 + 1.59x, Σ(xi −
̄x)^2 = 126, and s= 4.88.
a. Compute the residuals.
b. Plot the residuals against x. Do the assumptions about the
error terms seem to be satisfied?
c. Compute the standardized residuals.
Given are data for two variables, x and y. xi 6 11 15 18 20 yi...
Given are data for two variables, x and y.
xi
6
11
15
18
20
yi
5
9
12
19
30
(a) Develop an estimated regression equation for these data.
(Round your numerical values to two decimal places.)
ŷ =
(b) Compute the residuals. (Round your answers to two decimal
places.)
xi
yi
Residuals
6
5
11
9
15
12
18
19
20
30
(d) Compute the standardized residuals. (Round your answers to
two decimal places.)
xi
yi
Standardized
Residuals...
Given are data for two variables, x and y. xi 6 11 15 18 20 yi...
Given are data for two variables, x and y.
xi
6
11
15
18
20
yi
5
9
12
21
30
(a)
Develop an estimated regression equation for these data. (Round
your numerical values to two decimal places.)
ŷ =
1.66x−7.82
(b)
Compute the residuals. (Round your answers to two decimal
places.)
xi
yi
Residuals
6
5
11
9
15
12
18
21
20
30
(c)
Develop a plot of the residuals against the independent variable
x.
A residual plot...
Student ID: Question 1 Given are five observations for two variables, x and y. xi yi...
Student ID: Question 1 Given are five observations for two
variables, x and y. xi yi 2 25 3 25 5 20 1 30 8 16 a. Develop the
regression equation by computing the values of βˆ 0 and βˆ 1. b.
Use the estimated regression equation to predict the value of y
when x = 6. c. Compute SSE, SST, and SSR. d. Compute the
coefficient of determination r 2 . Comment on the goodness of fit.
e. Compute...
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