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...
a. Construct a scatterplot of the data and tell why a linear
regression model is appropriate. (Include this graph in your
report.) b. Run the linear regression procedure on
StatCrunch and include the output in your report. c. Give the
regression equation using the correct notation. d. Give the
Coefficient of Determination AND interpret it. e. Check
the assumptions of the model by constructing each of the following
plots and commenting on what they suggest in terms of the
assumptions....
3. Consider the following data for two variables, x and y.
x 2 3 4 5 7 7 7 8 9
y 4 5 4 6 4 6 9 5 11
a. Does there appear to be a linear relationship between x and
y? Explain.
b. Develop the estimated regression equation relating x and
y.
c. Plot the standardized residuals versus yˆ for the estimated
regression equation developed in part (b). Do the model assumptions
appear to be satisfied? Explain.
d....
Consider the following data for two variables, x and
y.
x1 = 4 5 7 8 10 12 12 22
y1 = 12 14 16 15 18 20 24 19
b. Compute the standardized residuals for these
data (to 2 decimals, if necessary). Enter negative values as
negative numbers.
Observation 1
Observation 2
Observation 3
Observation 4
Observation 5
Observation 6
Observation 7
Observation 8
Do the data include any outliers?
- Select your answer -Yes, there appear to be...
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....
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.
For the data set shown below.
x y
3 4
4 5
5 8
7 12
8 15
Find the estimates of β0 and β1.
β0≈b0=-3.256
(Round to three decimal places as needed.)
β1≈b1=2.233
(Round to three decimal places as needed.)
(b) Compute the standard error, the point estimate for σ.
Se=0.5972
(Round to four decimal places as needed.)
(c) Assuming the residuals are normally distributed, determine
sb1.
sb1=0.144
(Round to three decimal places as needed.)
(d) Assuming the...
3. Consider the following data for two variables, x and y.
x 2 3 4 5 7 7 7 8 9
y 4 5 4 6 4 6 9 5 11
a. Does there appear to be a linear relationship between x and y? Explain.(f-test, to do f-test for the overall significance)
b. Develop the estimated regression equation relating x and y.
c. Plot the standardized residuals versus yˆ for the estimated regression equation developed in part (b). Do the model...
Consider the following data:
x 4 5 6 7 8
P(X=x) 0.1 0.3 0.1 0.2 0.3
Step 1 of 5: Find the expected value E(X). Round your answer to
one decimal place.
Step 2 of 5:
Find the variance. Round your answer to one decimal place.
Step 3 of 5:
Find the standard deviation. Round your answer to one decimal
place.
Step 4 of 5:
Find the value of P(X>6)P(X>6). Round your answer to one
decimal place.
Step 5 of...