Chapter 11, Question 8
The results shown below provide the X-values, residuals, and a residual plot from a regression analysis. Is there any evidence of a pattern in the residuals? Explain.
Is there any evidence of a pattern in the residuals?
Homework Answers
Yes, there is a specific pattern in the residual plot and hence, the assumption of linearity does not appear.
Option A is correct.
The results shown below provide the X-values, residuals, and a residual plot from a regression analysis....
The results shown below provide the X-values, residuals, and a residual plot from a regression analysis. Is there any evidence of a pattern in the residuals? Explain. X Residual 1 .79 2 -0.84 3 1.19 4 -0.38 5 2.36 6 -0.73 7 0.19 8 1.62 9 -1.15 10 1.77 Choose the correct answer below. A. Yes, the residuals show decreasing variation. B. No, the residuals appear to be randomly spread. C. Yes, the residuals show a distinct cyclical pattern. D....
Data on the fuel consumption ?y of a car at various speeds ?x is given. Fuel...
Data on the fuel consumption ?y of a car at various speeds ?x is given. Fuel consumption is measured in mpg, and speed is measured in miles per hour. Software tells us that the equation of the least‑squares regression line is ?̂ =55.3286−0.02286?y^=55.3286−0.02286x Using this equation, we can add the residuals to the original data. Speed 1010 2020 3030 4040 5050 6060 7070 8080 Fuel 38.138.1 54.054.0 68.468.4 63.663.6 60.560.5 55.455.4 50.650.6 43.843.8 Residual −17.00−17.00 −0.87−0.87 13.7613.76 9.199.19 6.316.31 1.441.44...
Which of the following is a true statement about residuals? Choose the correct answer below.
Which of the following is a true statement about residuals? Choose the correct answer below. 0 A. The regression line is the line that minimizes the standard deviation of the residuals. O B. The residual plot for a model that a good fit to the data should not show any pattern or have any unusual features. O C. A residual is the difference between the actual data value and the value predicted by the model 0 D. All of the...
Question 1: Question 2: A statistical program is recommended. A sales manager collected the following data...
Question 1:
Question 2:
A statistical program is recommended. A sales manager collected the following data on x = years of experience and y = annual sales ($1,000s). The estimated regression equation for these data is = 81 + 4x. Salesperson Years of Experience Annual Sales ($1,000s) 1 80 3 97 92 107 103 111 119 128 117 136 (a) Compute the residuals. Years of Experience Annual Sales ($1,000s) Residuals 107 103 111 119 128 117 136 Construct a residual...
The following data represent the time between eruptions and the length of eruption for 8 randomly...
The following data represent the time between eruptions and the length of eruption for 8 randomly selected geyser eruptions. Complete parts (a) through (c) below. Click here to view a scatter plot of the data. Click here to view a residual plot of the data. Time, x 12.15 11.62 11.96 12.19 11.29 Length, y 1.86 1.74 1.81 1.93 1.67 Time, x 11.68 12.13 11.59 11.68 Length, y 1.78 1.85 1.75 1.71 (a) What type of relation appears to exist between...
Score: 0 or 3 pts 9.2.33 Use the data in the table below to complete parts...
Score: 0 or 3 pts 9.2.33 Use the data in the table below to complete parts (a) through (d) 11 of 15 (10 complete) 34 20 40 23 Click the icon to view details on how to construct and interpret residual plots. 43 26 59 28 53 26 21 29 28 23 뮬 (a) Find the equation of the regression line. Steps for Constructing a Residual Plot (Round to three decimal places as needed.) To construct a residual plot, make...
44. Attendance 2016, revisited In Chapter 6, Exercise 45 looked at the relationship between the number...
44. Attendance 2016, revisited In Chapter 6, Exercise 45 looked at the relationship between the number of runs scored by Amer- ican League baseball teams and the average attendance at their home games for the 2016 season. Here are the scatterplot, the residuals plot, and part of the regression analysis for all major league teams in 2016 (National League teams in red, American League in blue): 45,000+ 37,500+ Average Home Attendance ::oti 750 Runs 825 15,000+ 7,500 Residuals Oto •:...
ONLY NEES A,B help please!!! 1II. (10 pts) You are given the following estimated equation In(wage)- 0.3688+0.0852educ + 0.05 teure-0.000994tenue 0.0908) (0.0069) (0.0068) (0.00025) R-0.3294 526...
ONLY NEES A,B help please!!!
1II. (10 pts) You are given the following estimated equation In(wage)- 0.3688+0.0852educ + 0.05 teure-0.000994tenue 0.0908) (0.0069) (0.0068) (0.00025) R-0.3294 526 in which: logtwage) log of average hourly wage; educ is the number of years of schooling tenure is the number of years of tenure fenure tenure remure The plot of the residuals against the fitted values from the regression above, is provided below: 2.5 1.5 Fitted values .5 a. With a 1% significance level,...
Question 3: The Table below summarises the results of traffic monitoring observations at a motorway, in...
Question 3: The Table below summarises the results of traffic monitoring observations at a motorway, in terms of average spacing between vehicles versus vehicle speed. cinema9.58 14.04 19,36 22.68 27 31.32 35.64 39.96 4.28 46 52.9257.2461.5665.88 68.270 Space (m) 11.5 15.3 18.8 19.7 22.5 25.4 27.7 32.2 33.8 42 54.5 60.575.1 77.3 81 100.5 (a) The Figure below shows part of the Minitab output for a linear regression analysis for average spacing against speed. Explain the analysis in the table,...
Suppose Heat Power developed a regression model relating heating average annual pay to the percentage of...
Suppose Heat Power developed a regression model relating heating average annual pay to the percentage of households using natural gas as heating type. Below is the plot of the corresponding residuals versus the predicted values. Versus File free Rated Value What does the residual plot suggest? The spread of the residuals decreases as the fitted value increases. The plot of residuals shows no unusual pattern. The Equal Variance assumption is satisfied. The spread of the residuals remains unchanged as the...
Which of the following is a true statement about residuals? Choose the correct answer below. 0 A. The regression line is the line that minimizes the standard deviation of the residuals. O B. The residual plot for a model that a good fit to the data should not show any pattern or have any unusual features. O C. A residual is the difference between the actual data value and the value predicted by the model 0 D. All of the...
Question 1:
Question 2:
A statistical program is recommended. A sales manager collected the following data on x = years of experience and y = annual sales ($1,000s). The estimated regression equation for these data is = 81 + 4x. Salesperson Years of Experience Annual Sales ($1,000s) 1 80 3 97 92 107 103 111 119 128 117 136 (a) Compute the residuals. Years of Experience Annual Sales ($1,000s) Residuals 107 103 111 119 128 117 136 Construct a residual...
The following data represent the time between eruptions and the length of eruption for 8 randomly selected geyser eruptions. Complete parts (a) through (c) below. Click here to view a scatter plot of the data. Click here to view a residual plot of the data. Time, x 12.15 11.62 11.96 12.19 11.29 Length, y 1.86 1.74 1.81 1.93 1.67 Time, x 11.68 12.13 11.59 11.68 Length, y 1.78 1.85 1.75 1.71 (a) What type of relation appears to exist between...
Score: 0 or 3 pts 9.2.33 Use the data in the table below to complete parts (a) through (d) 11 of 15 (10 complete) 34 20 40 23 Click the icon to view details on how to construct and interpret residual plots. 43 26 59 28 53 26 21 29 28 23 뮬 (a) Find the equation of the regression line. Steps for Constructing a Residual Plot (Round to three decimal places as needed.) To construct a residual plot, make...
44. Attendance 2016, revisited In Chapter 6, Exercise 45 looked at the relationship between the number of runs scored by Amer- ican League baseball teams and the average attendance at their home games for the 2016 season. Here are the scatterplot, the residuals plot, and part of the regression analysis for all major league teams in 2016 (National League teams in red, American League in blue): 45,000+ 37,500+ Average Home Attendance ::oti 750 Runs 825 15,000+ 7,500 Residuals Oto •:...
ONLY NEES A,B help please!!!
1II. (10 pts) You are given the following estimated equation In(wage)- 0.3688+0.0852educ + 0.05 teure-0.000994tenue 0.0908) (0.0069) (0.0068) (0.00025) R-0.3294 526 in which: logtwage) log of average hourly wage; educ is the number of years of schooling tenure is the number of years of tenure fenure tenure remure The plot of the residuals against the fitted values from the regression above, is provided below: 2.5 1.5 Fitted values .5 a. With a 1% significance level,...
Question 3: The Table below summarises the results of traffic monitoring observations at a motorway, in terms of average spacing between vehicles versus vehicle speed. cinema9.58 14.04 19,36 22.68 27 31.32 35.64 39.96 4.28 46 52.9257.2461.5665.88 68.270 Space (m) 11.5 15.3 18.8 19.7 22.5 25.4 27.7 32.2 33.8 42 54.5 60.575.1 77.3 81 100.5 (a) The Figure below shows part of the Minitab output for a linear regression analysis for average spacing against speed. Explain the analysis in the table,...
Suppose Heat Power developed a regression model relating heating average annual pay to the percentage of households using natural gas as heating type. Below is the plot of the corresponding residuals versus the predicted values. Versus File free Rated Value What does the residual plot suggest? The spread of the residuals decreases as the fitted value increases. The plot of residuals shows no unusual pattern. The Equal Variance assumption is satisfied. The spread of the residuals remains unchanged as the...
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