Homework Answers
The residual plot shows a random pattern - the first two residual is positive, the next is negative next two postive then one negative and the last three residual is positive. This random pattern indicates that a linear model is appropriate then a non linear one .
so assumption of linear model is that varaince should be constant and that assumptions seems to be met in this plot .
option A is true
the assumption of constant variance seems to be supported by this plot
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Consider the following residual plot. 15 10 5 Residuals 0 50 60 70 5 -10 -15...
Consider the following data for two variables, x and y.
Consider the following data for two variables, x and y. a. Choose the correct scatter diagram with x and y. The correct scatter diagram is - _______ . Does there appear to be a linear relationship between x and y? Explain. The scatter diagram- Select your answer - some evidence of a possible linear relationship. b. Develop the estimated regression equation relating x and y. Save "predicted" and "residuals" (to 4 decimals). c. Choose the correct scatter diagram or the residuals versus y tor the estimated...
Below are given (a) A scatterplot of Y versus X and (b) A plot of residuals...
Below are given (a) A scatterplot of Y versus X and (b) A plot
of residuals versus fitted values after a simple linear regression
model was fit to the data. What is the equation of the fitted line?
Discuss what is indicated about the relationship between Y and X as
it relates to simple linear regression.
Fitted Line Plot Y = - 14.64 + 7.431 X R-Sq R-Sq (adj) 2.43700 91.9% 91.8% 1 > 20- 3 4 5 6 7...
Question 8(Multiple Choice Worth 5 points) (02.05 MC) Regressions were performed on measurements, x and y,...
Question 8(Multiple Choice Worth 5 points) (02.05 MC) Regressions were performed on measurements, x and y, taken on 8 subjects. Regression 1 produced y = 57.1024 + 17.331x and had the residual plot: 30 25 20 15 10 . 5 0 0 2 4 6 8 10 12 14 16 -5 -10 -15 -20 Regression 2 produced vý = 0.158283 +0.98559 x and had the residual plot: 0.15 0.1 0.05 0 0 2 4 6 8 10 12 14 16...
3. Model assumptions Aa Aa E In a multiple regression model with p independent variables, that...
3. Model assumptions Aa Aa E In a multiple regression model with p independent variables, that is, y-Po + β*1 + assumptions + ßpXp + t, you have the following Assumption 1: The error term ε is a random variable with a mean of zero, that is, E(E)-0 for all values of the independent variables x. Assumption 2: The variance of , denoted by ơ2, is the same for all values of the independent variables xi, X2, , Xp Assumption...
Styles The data in the accompanying table represent the population of a certain country every 10 ...
Styles The data in the accompanying table represent the population of a certain country every 10 years for the years 1900-2000. An ecologist is interested in finding an equation that describes the population of the country over time. Complete parts (a) through (3) below Year, x 1900 1910 1920 1930 1940 1950 Population, y Year, x Population, y 179,323 203,302 79,212 1960 95,228 1970 104,021 1980 123,202 1990 132,164 2000 151,325 226,542 248,709 281,421 (a)Determine the least-squares regression equation, treating...
3. Consider the following data for two variables, x and y. 4 5 4 6 4...
3. Consider the following data for two variables, x and 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 g 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...
-+ Ft to page Page view 2. A doctor wanted to determine whether there is a Age versus HDL Cholest...
-+ Ft to page Page view 2. A doctor wanted to determine whether there is a Age versus HDL Cholesterol relation between a male's age and his HDL (so-called good) cholesterol. He randomly selected 17 of his patients and determined their HDL cholesterol. He obtained the following data: (Use Minitab only for graphs. Show all the steps) HDL HDL Age, x Cholesterol,y Age, x Cholesterol, y 38 42 46 32 57 54 34 56 35 40 42 38 47 38...
QUESTION 4 An increase from 10% to 15% is a A 5% increase, and a 50...
QUESTION 4 An increase from 10% to 15% is a A 5% increase, and a 50 percentage point increase A 5 percentage point decrease, and a 50% decrease O A 5 percent increase, and a 5 percentage point increase 5 percentage point increase, and a 50% increase QUESTION 5 A measure of central tendency is an estimate of the middle, or center, of a distribution. True False QUESTION 6 The expected value is O The unweighted average of all possible...
use chart for 21-26 Question 21 5 pts Greene & Touchstone conducted a study to relate...
use
chart for 21-26
Question 21 5 pts Greene & Touchstone conducted a study to relate birth weight to the estriol levels from 24-hour urine specimens taken from pregnant women who are near term. The test can provide indirect evidence of an abnormally small fetus. The scatter plot of the data is shown below. We want to perform a statistical test to find linear relationship between birth weight and estriol levels. Linear regression result shows that y = 21.52 +...
An article gave a scatter plot along with the least squares line of x = rainfall...
An article gave a scatter plot
along with the least squares line of x = rainfall volume
(m3) and y = runoff volume (m3) for
a particular location. The accompanying values were read from the
plot.
x
5
12
14
20
23
30
40
51
55
67
72
85
96
112
127
y
4
10
13
15
15
25
27
45
38
46
53
75
82
99
103
(a) Does a scatter plot of the data support the use of...
Below are given (a) A scatterplot of Y versus X and (b) A plot
of residuals versus fitted values after a simple linear regression
model was fit to the data. What is the equation of the fitted line?
Discuss what is indicated about the relationship between Y and X as
it relates to simple linear regression.
Fitted Line Plot Y = - 14.64 + 7.431 X R-Sq R-Sq (adj) 2.43700 91.9% 91.8% 1 > 20- 3 4 5 6 7...
Question 8(Multiple Choice Worth 5 points) (02.05 MC) Regressions were performed on measurements, x and y, taken on 8 subjects. Regression 1 produced y = 57.1024 + 17.331x and had the residual plot: 30 25 20 15 10 . 5 0 0 2 4 6 8 10 12 14 16 -5 -10 -15 -20 Regression 2 produced vý = 0.158283 +0.98559 x and had the residual plot: 0.15 0.1 0.05 0 0 2 4 6 8 10 12 14 16...
3. Model assumptions Aa Aa E In a multiple regression model with p independent variables, that is, y-Po + β*1 + assumptions + ßpXp + t, you have the following Assumption 1: The error term ε is a random variable with a mean of zero, that is, E(E)-0 for all values of the independent variables x. Assumption 2: The variance of , denoted by ơ2, is the same for all values of the independent variables xi, X2, , Xp Assumption...
Styles The data in the accompanying table represent the population of a certain country every 10 years for the years 1900-2000. An ecologist is interested in finding an equation that describes the population of the country over time. Complete parts (a) through (3) below Year, x 1900 1910 1920 1930 1940 1950 Population, y Year, x Population, y 179,323 203,302 79,212 1960 95,228 1970 104,021 1980 123,202 1990 132,164 2000 151,325 226,542 248,709 281,421 (a)Determine the least-squares regression equation, treating...
3. Consider the following data for two variables, x and 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 g 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...
-+ Ft to page Page view 2. A doctor wanted to determine whether there is a Age versus HDL Cholesterol relation between a male's age and his HDL (so-called good) cholesterol. He randomly selected 17 of his patients and determined their HDL cholesterol. He obtained the following data: (Use Minitab only for graphs. Show all the steps) HDL HDL Age, x Cholesterol,y Age, x Cholesterol, y 38 42 46 32 57 54 34 56 35 40 42 38 47 38...
QUESTION 4 An increase from 10% to 15% is a A 5% increase, and a 50 percentage point increase A 5 percentage point decrease, and a 50% decrease O A 5 percent increase, and a 5 percentage point increase 5 percentage point increase, and a 50% increase QUESTION 5 A measure of central tendency is an estimate of the middle, or center, of a distribution. True False QUESTION 6 The expected value is O The unweighted average of all possible...
use
chart for 21-26
Question 21 5 pts Greene & Touchstone conducted a study to relate birth weight to the estriol levels from 24-hour urine specimens taken from pregnant women who are near term. The test can provide indirect evidence of an abnormally small fetus. The scatter plot of the data is shown below. We want to perform a statistical test to find linear relationship between birth weight and estriol levels. Linear regression result shows that y = 21.52 +...
An article gave a scatter plot
along with the least squares line of x = rainfall volume
(m3) and y = runoff volume (m3) for
a particular location. The accompanying values were read from the
plot.
x
5
12
14
20
23
30
40
51
55
67
72
85
96
112
127
y
4
10
13
15
15
25
27
45
38
46
53
75
82
99
103
(a) Does a scatter plot of the data support the use of...
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