Question
In: Statistics and Probability
3. Consider the following data for two variables, x and y. x 2 3 4 5 7...
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. Perform a logarithmic transformation on the dependent variable y. Develop an estimated regression equation using the transformed dependent variable. Do the model assumptions appear to be satisfied by using the transformed dependent variable? Does a reciprocal transformation work better in this case? Explain.
provide answer with minitab please
Solutions
orchestra answered 2 years agoRelated Solutions
3. Consider the following data for two variables, x and y.x 2 3 4 5 7...
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 for two variables, x and y. x1 = 4 5 7 8...
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...
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.
Consider the following data for two variables, x and y.
Consider the following data for two variables, x and y.
x
22
24
26
30
35
40
y
11
20
33
34
39
36
(a)
Develop an estimated regression equation for the data of the form
ŷ = b0 + b1x.
(Round b0 to one decimal place and b1 to three decimal places.)ŷ =
−8.3+1.259x
(b)
Use the results from part (a) to test for a significant relationship between x and y. Use α = 0.05.
Find the...
Consider the following data for two variables, x and y.
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 assumptions...
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...
Step 2 Data Set A x 1 2 3 4 5 6 7 y 7 7...
Step 2
Data Set A
x
1
2
3
4
5
6
7
y
7
7
7
9
9
9
10
Data Set B
x
1
2
3
4
5
6
7
8
9
10
11
y
4
6
6
6
8
9
9
9
10
10
10
Step 2
Find the equation for the least-squares line, and graph the
line on the scatter plot.
Find the sample correlation coefficient r and the
coefficient of determination r2. Is r
significant?...
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...
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