A tea company appoints four salesmen A, B, C and D and observes their sales in three months, April, May and June: Months Salesmen A B C D April May June 36 28 26

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.…

b) In a study to determine whether the height of time (in months) that a person has been employed with a company is related to hourly pay, the following data were obtained: 45 32 24 29 26 22 15 Length (X months) Hourly 35 38 5 17 18 20 24 35 33 38 50 рay |($Y) Determine i) The Spearman's Rank Correlation Coefficient. ii) The Pearson Product Moment Correlation Coefficient. Fit a linear regression Model of the form ý = Bo + B1x (7 marks) (7 marks) iii) iv) (7 marks) (2 marks) From b iii) above, find X when Y=74.5

Ch. 21 part 2 Run a regression analysis on the following bivariate set of data with y as the response variable. x y 43.8 54.1 41.3 51.2 35.3 60.1 48.1 44.9 42.8 51.8 44.7 50.8 39.4 56.6 38.2 56.6 40.7 53.5 45.3 51.1 45 46.7 41.1 52.2 Predict what value (on average) for the response variable will be obtained from a value of 40.1 as the explanatory variable. Use a significance level of α=0.05 to assess the strength of the linear correlation.What is the predicted response value?  (Report answer accurate to one decimal place.)y = ________________

O 4G ! 9:7 A moodle1.du.edu.om The following table shows trip generation data. Estimate b1 and b2 parameters using Regression method. Y=b1+b2 X HH No. Trips/day 4 3 10 4 13 16 17 20 8 19 19 20 Select one: O a. b1=4.78 and b2=8.76 b. b1=4.2 and b2=2.76 c. b1=7.3 and b2=5.66 d. b1=3.53 and b2=1.98 II

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…