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Q: Number of Facilities Number 9 11 16 21 27 30 Average Distance (miles) 1.67 1.11 0.83 0.63 0.52 0.46…
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- 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. Average Distance Number of Facilities (miles) 1.67 11 1.11 16 0.82 21 0.62 27 0.50 30 0.47 (a) Develop a scatter diagram for these data, treating average distance traveled as the dependent variable. 1.8 T 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 10 0.2 0.2 0.2 0. 5 0. 0. 10 15 20 25 30 35 0. 0.2 0.4 0.6 0.8 1. 1.2 1.4 1.6 1.8 5 10 15 20 25 30 35 10 15 20 25 30 35 Number Distance Number Number (b) Does a simple linear regression model appear to be appropriate? Explain. O Yes, the scatter diagram suggests that there is a linear relationship. O No, the scatter diagram suggests that there is a curvilinear relationship. O No, the scatter diagram suggests that there is no relationship. (c) Develop an estimated…Find the Pearson r Correlation Coefficient: r = Blank 1 Find the equation of the regression line: y = Blank 2x + Blank 3 Estimate the amount of particulate removed when the daily rainfall is x = 4.8 units: Blank 4 μg/m3Please answer the question mentioned in uploaded pic:
- 18Which of the following is true about the correlation coefficient? A) It ranges from 0 to 1. B) It indicates the strength and direction of a linear relationship between two variables. C) It can be greater than 1. D) It is used to measure the central tendency of data.Which of the following measures of correlation is limited in applicability to linear relationships? Select one: а. Intraclass correlation O b. Spearman's Rho Ос. Kendall's Tau O d. Pearson
- Which of the following is true regarding weak correlation coefficients? a. They indicate a slight causation between variables. b. They are found only with Pearson r coefficients. c. They may be the result of restricted range for one of the variables. d. They are rarely found in social science research.For a data set of chest sizes (distance around chest in inches) and weights (pounds) of eight anesthetized bears that were measured, the linear correlation coefficient is r = 0.996. Use the table available below to find the critical values of r. Number of Pairs of Data n Critical Value of r 4 0.950 0.878 0.811 7 0.754 8. 0.707 9. 0.666 10 0.632 11 0.602 12 0.576 А. -0.707, +0.707 В. +0.707 С. +0.754 D. -0.707GDP(in millions),X. CO2 emission 1.7. 552.6 1.2. 462.3 2.5. 475.4 2.8. 374.3 3.6. 748.5 2.2. 400.9 0.8. 253.0 1.5. 318.6 2.4. 496.8 5.9. 1180.6 A) Find the correlation coefficient and the coefficient of determination. Interpret the coefficient of determination. B) Graph the scatterplot and find the equation of the regression lining.
- 5. Use the following table to answer the question given below. Coefficient of correlation Dimension Sig (p) with variable F A -0.053 0.000 B 0.821 0.000 C -0.755 0.000 D 0.255 0.000 E -0.632 0.000 7 Comment on the correlation coefficient values (i.e. the relationship and its strength) given in the above table.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 1.67 11 1.11 16 0.84 21 0.61 27 0.51 30 0.48 (a) Develop a scatter diagram for these data, treating average distance traveled as the dependent variable. CELL 0.2 0.4 0.6 0.8 1.2 1.4 1.6 1.8 Number Number Number Distance @ (b) Does a simple linear regression model appear to be appropriate? Explain. O Yes, the scatter diagram suggests that there is a linear relationship. O No, the scatter diagram suggests that there is no relationship. O No, the scatter diagram suggests that there is a curvilinear relationship. (c) Develop an estimated regression equation for the data of the form ý = b + b₁x + b₂x²: a second-order model with one predictor variable. (Round your numerical values to four decimal places.) ŷ =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…