The following table shows demand (x) and supply (v) for a sample of a certain commodity. 12 7 11 19 21 3 17 14 3 21 28 43 1 12 30 Plot the points on a scatter graph and state the relationship between the two variables. 4. 5.
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- Compute the linear correlation coefficient between the two variables and determine whether a linear relation exists. Round to three decimal places. A manager wishes to determine whether there is a relationship between the number of years her sales representatives have been with the company and their average monthly sales. The table shows the years of service for each of her sales representatives and their average monthly sales (in thousands of dollars). Years with company, x 6 7 14 11 12 19 7 5 15 Sales, y 26 28 73 57 60 56 43 50 115 Click the icon to view the critical values table. O A. r=0.632; a linear relation exists O B. r=0.717; no linear relation exists O C. r=0.632; no linear relation exists O D. r=0.717; a linear relation existsCan a low barometer reading be used to predict maximum wind speed of an approaching tropical cydone? For a random sample of tropical cyclones, let x be the lowest pressure (in millibars) as a cyclone approaches, and let y be the maximum wind speed (in miles per hour) of the cyclone. x 1004 975 992 935 971 924 y 40 100 65 145 78 147 A USE SALT (a) Make a scatter diagram ofr the data and visualize the line you think best fits the data. * 140 1000 140 1000 120- 120 100 100 80 80 940 60 940 E 60 40 40e. 920li 40 920 40 60 80 100 120 140 940 960 980 1000 60 80 100 120 140 940 960 980 1000 x (lowest pressure (in millibars) x (lowest pressure (in millibars) x (lowest pressure (in millibars)) x (lowest pressure (in millibars) (b) Would you say the correlation is low, moderate, or strong? O low O moderate O strong Would you say the correlation is positive or negative? O positive O negative (C) Use a calculator to verity thatx - 5801, - 5,613,547, E- 575, E- 64,543 and xy - 549,281. Compute r.…e A researcher with the Department of Education followed a cohort of students who graduated from high school in a certain year, monitoring the progress the students made toward completing a bachelor's degree. One aspect of his research vas to determine whether students who first attended community college took longer to attain a bachelor's degree than those who immediately attended and remained at a 4-year institution. The data in the table attached below summarize the esults of his study. Complete parts a) through e) below. E Click the icon to view the sample data. OA. The samples are independent. O B. The samples can be reasonably assumed to be random. OC. The population is given to be normally distributed. OD. The sample sizes are large (both greater than or equal to 30). O E. The sample sizes are not more than 5% of the population. :) Does the evidence suggest that community college transfer students take longer to attain a bachelor's degree? Use an a= 0.10 level of significance.…
- Activity 3.2. INFORMATION FROM CONTIGENCY TABLES • A group of patients were classified in terms of their smoking habits and the incidence of hypertension. Table 3 shows the distribution of the patients along the two variables. Hypertension Smoking Habits With Without Non-smokers 6 Moderate smokers 15 10 Heavy smokers 9 6 • Copy and complete the crosstabulation.q8Amount of fertilizer (x) in pounds for each plot: 12, 5, 15, 17, 20, 14: Bushels of tomatoes harvested (y) 24 22 31 33 21 28: Round all values to three decimal places. a) Find the equation of the regression line (line of best fit). b) Calculate the correlation coefficient (r). c) Determine if there is a significant linear correlation. d) If the linear relation is significant, predict how many bushels of tomatoes would be harvested if 22 pounds of fertilizer was used.
- 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) 1.65 11 1.12 16 0.83 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 - 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 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 No, the scatter diagram suggests that there is no relationship. No, the scatter diagram suggests that there is a curvilinear relationship. O Yes, the scatter diagram suggests that there is a linear relationship. (c) Develop an estimated…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 =The parallel boxplots below display the bag weights of two different brands, A and B, of granola. Brand A Brand B H ++++ 47 47.5 48 48.5 49 49.5 50 50.5 51 51.5 52 52.5 Weights (Grams) Which statement best compares the variability of the distributions for the bag weights? The bag weights for brand A are more variable than the bag weights for brand B. The bag weights for brand A have less variability than the bag weights for brand B. O The bag weights for brand B are not as spread out as the bag weights for brand A. O The bag weights for brand A are higher, on average, than the bag weights for brand B.
- Weekly sales of copy paper at Cubicle Suppliers are in the table below. Compute a three-period moving average and a four-period moving average for weeks 5, 6, and 7. Compute each forecast. Which model is more accurate? Forecast week 8 with the more accurate method. Week Sales (cases) 1 17 2 21 3 27 4 31 5 19 6 17 7 21Need help with d and e pls8. The table depicted below lists randomly selected students' self-reported hours of studying (x) and their corresponding final grades (y). a. Find the correlation coefficient r. b. Find the critical value. c. Is there a linear correlation (i.e., can Họ be rejected)? d. Find the regression equation. X 30 37 10 18 7 15 y 93 100 75 88 72 86