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- Part 1 of 4 Does the length of a surgery patient's stay in the hospital depend on the length of time the operation took? The table below gives the operative time (in hours) and the length of the hospital stay (in days) for 10 patients. (Comma separated lists of the data are also provided below the table to ease in copying the data to R.) Operative Time (x) Length of Hospital Stay (y) 5 13 13 12 12 14 17 4 12 3 12 7 15 3 x: 5, 5, 5, 2, 6, 5, 4, 3, 7, 3 y: 13, 13, 12, 12, 14, 17, 12, 12, 15, 7 Conduct a hypothesis test with a 5% level of significance to determine whether or not the operative time and the length of a patient's hospital stay are correlated. Step 1: State the null and alternative hypotheses. Ho:p = test.) (So we will be performing a two-tailed O Rost to forumFollowing shows the numbers of Amazon Prime members in the millions, each quarter from 2016 to 2021. Quarter 2016 2017 2018 2019 2020 2021 1 26 36 48 62 81 98 2 27 37 50 65 83 103 3 29 40 53 69 86 109 4 33 44 57 74 93 117 Construct a line chart using the data. Describe the relationship between the time and number of subscribers.For the following data, what is SStotal?TreatmentsSubject I II III A 1 2 6 B 2 4 6 C 3 3 12 SS = 2 SS = 2 SS = 24
- The following table shows the length, in centimeters, of the humerus and the total wingspan, in centimeters, of several pterosaurs, which are extinct flying reptiles. (A graphing calculator is recommended.) Pterosaur Data Humerus, x Wingspan, y Humerus, X Wingspan, y 26 685 29 690 31 702 35 717 25 681 24 646 23 631 21 622 19 614 16 508 1.4 40 1.3 33 1.2 30 1.0 28 0.8 26 (a) Find the equation of the least-squares regression line for the data. Round constants to the nearest hundredth. (b) Use the equation from part (a) to determine, to the nearest centimeter, the projected wingspan of a pterosaur if its humerus is 52 centimeters. cm Need Help? Read ItThe table shows the total number of trade apprenticeships in Canada each year from 1991 to 1997 a) Consider the year 1991 as year #0. Create a scatter plot of the data on the next page using the DESMOS graphing calculator. apprenticeships 192,945 Year 1991 1992 180,965 168,985 163,750 163,370 1993 1994 1995 1996 165,325 171,180 1997 b) From the scatter plot, which model appears most appropriate: linear, quadratic, exponential. Give reason for your answer c) Generate a model for the data (line/curve of best fit) using regression. Write the equation of the model that best fits the data. d) Use the model to predict when apprenticeships will return to 1991 levels.Question 6
- Use the following information to answer questions 6 and 7. In a study, nine tires of a particular brand were driven on a track under identical conditions. Each tire was driven a particular controlled distance (measured in thousands of miles) and the tread depth was measured after the drive. Tread depth is measured in "mils." Here, 1 mil is 0.001 inch. The least-squares regression line was computed and added to a scatterplot of these data. On the plot, one data point is marked with an "X." The equation of the least-squares regression line is: Tread depth = 360.64 - 11.39 Miles The data value marked with "X" in the provided scatterplot has Tread Depth (Mils) 60 80 150 0 5 O a negative value for the residual. O a positive value for the residual. O a zero value for the residual. O a zero value for the correlation. 10 15 Miles (x 1000) 20 25 30Please answer all 4THIS IS ENGINEERING DATA ANALYSIS 1. Given the following: c = 5, x1 = 7, x2 = 8, x3 = 10, x4 = 11, x5 =13, y1 = 5, y2 = 7, y3 = 9, y4 = 11, y5 = 13.Evaluate the following: