### Understanding Linear Regression and Data Patterns**Objective:**Use the given data to find the equation of the regression line. Examine the scatterplot and identify a characteristic of the data that is ignored by the regression line.#### Data Table:| x | 11 | 7 | 13 | 10 | 12 | 14 | 7 | 4 | 13 | 7 | 5 ||----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|| y | 7.59 | 6.64 | 13.32 | 6.78 | 7.89 | 8.93 | 5.83 | 5.44 | 8.05 | 6.3 | 5.94 |#### Scatterplot Analysis:There are four scatterplots labeled A through D:- **Scatterplot A:** Features data points that appear to cluster and vary consistently along both axes.- **Scatterplot B:** Shows a non-linear pattern, indicating that the relationship between \( x \) and \( y \) may not be adequately modeled by a straight line.- **Scatterplot C:** Contains a potential outlier that may strongly affect the regression line.- **Scatterplot D:** Similar to Scatterplot A, this plot shows a distribution of data that can be interpreted linearly but is less consistent than Scatterplot B.#### Steps to Find the Regression Line:1. **Equation Format:** \[ \hat{y} = \boxed{\text{(Intercept)}} + \boxed{\text{(Slope)}} x \]2. **Round-off Instructions:** - Round off the \( y \)-intercept to two decimal places. - Round off the slope to three decimal places.3. **Answer Choices for Characteristics Ignored by the Regression Line:** - **A.** There is no characteristic of the data that is ignored by the regression line. - **B.** The data has a pattern that is not a straight line. - **C.** There is an influential point that strongly affects the graph of the regression line. - **D.** The data has a pattern that is not consistent.#### Identification:Based on analysis, **Option B** is selected, indicating that the data has a pattern that is

The data is, X Y 11 7.59 7 6.64 13 13.32 10 6.78 12 7.89 14 8.93 7 5.83 4 5.44…

Answered: Use the given data to find the equation…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

The personnel director of a large hospital is interested in determining the relationship (if any) between an employee’s age and the number of sick days the employee takes per year. The director randomly selects ten employees and records their age and the number of sick days which they took in the previous year. Employee 1 2 3 4 5 6 7 8 9 10 Age 30 50 40 55 30 28 60 25 30 45 Sick Days 7 4 3 2 9 10 0 8 5 2 Copy Data The estimated regression line and the standard error are given. Sick Days=14.310162−0.2369(Age) se=1.682207se=1.682207 Find the 95% confidence interval for the average number of sick days an employee will take per year, given the employee is 26. Round your answer to two decimal places.
The data show the chest size and weight of several bears. Find the regression equation, letting chest size be the independent (x) variable. Then find the best predicted weight of a bear with a chest size of 40inches. Is the result close to the actual weight of 352pounds? Use a significance level of 0.05.a. Chest size (inches) 41 54 44 55 39 51 Weight (pounds) 328 528 418 580 296 503 a.What is the regression equation? b. The best predicted weight for a bear with a chest size of 39 inches is _______pounds.
The data show the chest size and weight of several bears. Find the regression equation, letting chest size be the independent (x) variable. Then find the best predicted weight of a bear with a chest size of 58 inches. Is the result close to the actual weight of 572 pounds? Use a significance level of 0.05. Chest size (inches) 46 57 53 41 40 40 Weight (pounds) 384 580 542 358 306 320 LOADING... Click the icon to view the critical values of the Pearson correlation coefficient r. What is the regression equation? y=nothing+nothingx (Round to one decimal place as needed.)
Use the given data to find the equation of the regression line. Examine the scatterplot and identify a characteristic of the data that is ignored by the regression line. 7 6 9 13 15 14 8 13.50 16.08 10.08 7.84 15.24 15.84 11.96 12 10 2 15.96 14.68 x 11 y 15.50 5 5.24 y=+x (Round to two decimal places as needed.)
Use the given data to find the equation of the regression line. Examine the scatterplot and identify a characteristic of the data that is ignored by the regression line. X 7 14 10 11 15 12 6. 13 9. у 5.27 6.91 7.95 8.18 1.83 5.83 8.09 3.71 7.67 7.38 6.49 x (Round to two decimal places as needed.) %3D + Create a scatterplot of the data. Choose the correct graph below. A. В. OC. O D. .y 25- Ay 25- y 25- 25- 20- 20- 20- 20- 15- 15 15- 15- 103 105 103 105 5- 5극 53 5극 X X 0- 0- 0- 0 5 10 15 20 25 5 10 15 20 25 05 10 15 20 25 5 10 15 20 25 Identify a characteristic of the data that is ignored by the regression line. A. There is no trend in the data. B. There is an influential point that strongly affects the graph of the regression line. C. The data has a pattern that is not a straight line. D. There is no characteristic of the data that is ignored by the regression line. bo00 0
Use the given data to find the equation of the regression line. Examine the scatterplot and identify a characteristic of the data that is ignored by the regression line. 9. 8 11 9. 11 14 4 12 y 7.47 6.66 13.28 7.1 7.59 8.43 6.09 5.39 7.9 6.48 5.65 O A. OB. Oc. OD. Ay 25- Ay 25- Ay 25- AV 25- 20 20 20 20 15 15- 15- 15 10 10- 10- 10- 55 51 5- 0- Ó 5 10 15 20 25 0- 05 10 15 20 25 0- 5 10 15 20 25 O 5 10 15 20 25 Find the equation of the regression line. (Round the constant two decimal places as needed. Round the coefficient to three decimal places as needed.) Identify a characteristic of the data that is ignored by the regression line. O A. There is an influential point that strongly affects the graph of the regression line. O B. There is no characteristic of the data that is ignored by the regression line. O C. The data has a pattern that is not a straight line. D. There is no trend in the data.
Use the given data to find the equation of the regression line. Examine the scatterplot and identify a characteristic of the data that is ignored by the regression line. 12 7.44 11 9. 13 12.76 13 8.53 4 5.48 12 7.96 6. y 7.27 6.65 6.89 6.3 6.23 5.91 Create a scatterplot of the data. Choose the correct graph below. O A. O B. Oc. O D. 25 25- 25 Ay 25 20- 20- 20 20- 155 155 15 15 105 105 10- 105 55 55 53 05 10 15 20 25 05 10 15 20 25 05 10 15 20 25 05 10 15 20 25 Find the equation of the regression line. (Round the y-intercept two decimal places as needed. Round the slope to three decimal places as needed) Identify a characteristic of the data that is ignored by the regression line, O A. There is no characteristic of the data that is ignored by the regression line. O B. There is an influential point that strongly affects the graph of the regression line. C. There is no trend in the data. O D. The data has a pattern that is not a straight line. 5,
Use the given data to find the equation of the regression line. Examine the scatterplot and identify a characteristic of the data that is ignored by the regression line. x 14 8 10 11 13 7 12 4 y 19.64 15.50 18.30 11.28 19.16 17.08 19.84 13 56 19.68 8.64 5.64 y=+x (Round to two decimal places as needed.) uter Name: ws Logon: ws Domain: IP Address: MAC Address Help me solve this View an example Get more help - Clear all Check answer Floor: Department: Default Printer: 65 立

Create a scatterplot of the data. Choose the correct graph Identify a characteristic of the data that is ignored by the regression line.
Use the given data to find the equation of the regression line. Examine the scatterplot and identify a characteristic of the data that is ignored by the regression line. x 11 12 10 6 13 14 7 5 4 8 9 y 14.34 14.30 14.01 8.90 13.86 13.05 10.74 6.66 4.05 12.21 13.31
Use the given data to find the equation of the regression line. Examine the scatterplot and identify a characteristic of the data that is ignored by the regression line. x 11 7 11 10 12 14 6 4 11 8 5 y 7.6 6.6 13.07 7 7.67 9.18 5.81 5.46 8.04 6.52 5.99 Create a scatterplot of the data. Choose the correct graph below. A. 05101520250510152025xy A scatterplot has a horizontal x-scale from 0 to 25 in intervals of 1 and a vertical y-scale from 0 to 25 in intervals of 1. Eleven points are plotted with approximate coordinates as follows: (4, 8); (5, 6); (6, 6.5); (7, 6.5); (8, 9); (10, 7.5); (11, 5.5); (11, 7); (11, 13); (12, 6); (14, 7.5). B. 05101520250510152025xy A scatterplot has a horizontal x-scale from 0 to 25 in intervals of 1 and a vertical y-scale from 0 to 25 in intervals of 1. Eleven points are plotted with approximate coordinates as follows:…
Use the given data to find the equation of the regression line. Examine the scatterplot and identify a characteristic of the data that is ignored by the regression line. X 13 6 5 10 15 8 11 7 12 9.76 15.51 14 9 15.69 12.97 y 15.76 7.69 5.32 14.12 15.32 11.51 14.97 y=+x (Round to two decimal places as needed.) Create a scatterplot of the data. Choose the correct graph below. O A. Y 25- 20 15- 10- 5 0- 0 5 10 15 20 25 Q O B. O A. The data has a pattern that is not a straight line. OB. There is no trend in the data. 25- 20 Identify a characteristic of the data that is ignored by the regression line. y 15: 10€ Sp D 5- 0- 0 5 10 15 20 25 O C. There is an influential point that strongly affects the graph of the regression line. O D. There is no characteristic of the data that is ignored by the regression line. Q ✔ C O C. Ay 25- 20- 15- 10- 5- 0- 0 5 10 15 20 25 Q ✓ O D. 25- 20 155 10€ 53 0- 0 5 10 15 20 25 Q

SEE MORE QUESTIONS

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS