(c) Try to approximate the relationship between x and y by drawing a straight line through the data.K NKy1818-1818-15151515-121212129-6663-3-3-3-141E(x, - r, - )Ix, - 2(d) Develop the estimated regression equation by computing the values of bo and b, using b- and bo -v - bk.(e) Use the estimated regression equation to predict the value of y when x = 4. Given are five observations for two variables, x and y.(a) Develop a scatter diagram for these data.181y1818151515151212121299-6-66.6-33-3.312345456125612(b) What does the scatter diagram developed in part (a) indicate about the relationship between the two variables?O There appears to be a positive linear relationship between x and y.O There appears to be a negative linear relationship between x and y.O There appears to be no noticeable relationship between x and y.

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Answered: Given are five observations for two…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Consider the following table of data X у a. Calculate the least squares line and the correlation coefficient b. Repeat part (a), but this time delete the last point. c. Draw a graph of the data, and use it to explain the dramatic difference between the answers to parts (a) and (b). 1 3 1 1 2 3 2 10 D 11 10 a. The least squares line is Y=x+ (Use integers or decimals for any numbers in the equation. Round to four decimal places as needed.)
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3.Given the following data X= additional number of Y= Grade improvement since last exam studying hours since last exam 2 5 4 6 5 8 5 10 7 11 8 12 10 13 12 14 12 15 9 12 a. Draw a scatter diagram and speculate on the direction linear relationship between the two variables (in complete sentence)...Clearly label the 2 axes... b.…
11. 1.0 8.3 1.0 4.0 10- 9- 10- 9 2.0 5.2 2.0 5.7 8- 3.0 9.8 3.0 6.9 7 6- 7- 4.0 6.1 6+ 54 4+ x 3 4.0 4.3 5- 5.0 1.7 5.0 5.2 4- 6.0 | 5.1 3 6.0 8.1 2- 2 7.0 | 5.7 1- 7.0 9.2 1- 8.0 3.8 8.0 6.7 9.0 9.6 9.0 8.9 10.0 6.6 Figure 1 10.0 8.0 Figure 2 m 114 3.3 10- 1.0 1.0 7.7 10+ 9- 2.0 4.5 9- 2.0 6.9 3.0 3.8 3.0 8.1 6- 4.0 6.1 5.0 7.0 4.0 5.2 5- 5- 5.0 | 4.3 4- 6.0 4.5 4. 3 2- 6.0 7.1 7.0 2 5.9 7.0 5.2 8.0 7.6 8.0 | 3.6 9.0 6.9 9.0 4.6 10.0 7,7 | Figure 3 10.0 3.1 Figure 4 Answer the following questions about the relationships between pairs of variables and the values of r, the sample cc be the correct answer for more than one question. Explanation Check O oololole
Which scatter plot includes the given data points?
Which of the following best describes the relationship between the variables on the scatter plot below? 11 10 15 4 3. 2 1 1234 56 7 8 9 10 11 12 13 O A. linear association OB. no association OC. non-linear association OD. linear and non-linear association
Please answer e,f,g based on the given question.
4. Consider the following data: XINMASSN 1 2 3 4 5 6 7 y 6 7 5 4 3 1 2 a) Make a scatterplot of these data. The variable labeled "x" should be plotted along the x-axis. Describe the pattern. b) Find the correlation coefficient for these data.
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3. Caloulate r and ŕ for the data set. -5 -4 -3 -2 -10 1. 4. 9. Calculate r. (Round to four decimal places as needed.) Calculate r =(Round to four decimal places as needed.)
A statistical program is recommended. A study of emergency service facilities investigated the relationship between the number of facilities and the average distance traveled to provide the emergency service. The following table gives the data collected. Number of Facilities Average Distance (miles) 9 1.66 11 1.12 16 0.83 21 0.63 27 0.50 30 0.48 (a) Develop a scatter diagram for these data, treating average distance traveled as the dependent variable. 1.8T 35 1.8 1.8- 1.6 1.6- 1.6- 30 1.4 1.4 1.4 1.2 25- 1.2- 1.2- 1. 1. 1. 20 0.8 0.8 0.8 0.6 15 0.6 0.6 .. 0.4 0.4 0.4 104 A scatter diagram has 6 points. The horizontal axis ranges from O to 1.8 and is labeled: Distance. The vertical axis ranges from 5 to 35 and is labeled: Number. Moying, from, left to right, the leftmost point is at'approximately (0.48, 36), with the next five points extending downward. The points d @O and then level off. 0.2 0.2 0.2 0. 0. 0. 5 10 15 20 25 30 35 10 15 20 25 30 35 10 15 20 25 30 35 Number ecrease steeply…

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