The table below shows only the marginal totals for the dolphin study in Problem 1. Use your formula from Problem 7 to complete a copy of the table with values that would make the two variables of age and sex independent. The values will not be whole numbers.) Young Male Female Total 9 Adult 13 Total 15 7 22
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- Solve Question 2Question 3 A statistics instructor at a large western university would like to examine the relationship (if any) between the number of optional homework problems students do during the semester and their final course grade. She randomly selects 12 students for study and asks them to keep track of the number of these problems completed during the course of the semester. At the end of the class each student's total marks is recorded along with their final grade. The data follow in Table 2. Table 2 Problem Course Grade 62 51 58 62 68 66 65 68 76 77 66 67 72 73 72 78 73 76 78 78 84 85 91 75 Use the regression equation to preaict a student's final course grade if 75 optional homework assignments are done. ix. Use the regression equation to compute the number of optional homework assignments that need to be completed if a student expects an 85. vii.Question 4 A company that focuses on research and development (R&D) is interested in the relationship between profit and some variables that can explain profit variations. They want to predict the profits of some new and exciting projects because some are risky. The predictor variables considered are: RISK which is a company derived metric, R&D which is the research and development costs, REGION (WC, EC and KZN) and average per capita income (INCOME in R1000.00). The analyst decides to estimate the regression function with the following response function. (profit) = bo + b₁XRISK + b₂XR&D + b₂XWc + b₁XEC + b₂XINC Answer the following questions. 4.1. The analyst considered the fact that the effects of multicollinearity may influence some analytical and visual conclusions. Use the following results to show the process of establishing by using extra sums of squares whether there is that multicollinearity present or not. Explain and interpret in detail. SSR (X) = 2573.72, SSR(x₁) = 2600.7,…
- Question #9 A-DQuestions 2 and 3 are individual parts. That is, each group member is to answer the questions for a different day, according to the following list: Member 1: Day 4 Member 2: Day 6 Member 3: Day 8 Member 4: Day 10 2. Estimate the average rate of flow from three days before your day until your day; from two days before your day until your day; from one day before your day until your day. Also estimate the average rate of flow from your day until three days after your day; from your day until two days after your day; from your day until one day after your day. Copyright 1994 John Wiley & Sons, Inc. 224 3. Estimate the instantaneous rate of flow on your day.Question 4 Beachcomber Ltd in a local car dealership that sells used and new vehicles. The manager of the company wants to know how different variables affect the sales of his vehicles. A random sample of yearly data was taken with the view to testing the model: SALES=a+BAGE+YMIL+&ENG Where SÄLES= amount that a vehícle is sold for($000's), AGE = age of the vehicle, MIL= the total mileage of the vehicle at the point of sale and ENG= the size of the engine. The sample of data was processed using MINITAB and the following is an extract of the output obtained: The regression equation is ***** Coef StDev t-ratio p-value Predict or Constan 1.7586 0.2525 6.9648 0.0000 AGE 0.2124 0.3175 0.5042 ** MIL -0.7527 0.3586 -2.0991 7.7664 0.0000 *** ENG 4.8124 Analysis of Variance DF MS Source 3 413.1291 138.709 **** 0.00 Regressi 7 on 50 457.7607 2.2888 Error Total 53 a) What is dependent and independent variables? b) Fully write out the regression equation c) Fill in the missing values *', '**',…
- Week 10 q2 Personal wealth tends to increase with age as older individuals have had more opportunities to earn and invest than younger individuals. The following data were obtained from a random sample of eight individuals and records their total wealth (Y) and their current age (X). Person Total wealth (‘000s of dollars) Y Age (Years) X A 280 36 B 450 72 C 250 48 D 320 51 E 470 80 F 250 40 G 330 55 H 430 72 A part of the output of a regression analysis of Y against X using Excel is given below: SUMMARY OUTPUT Regression Statistics Multiple R 0.954704 R Square 0.91146 Adjusted R Square 0.896703 Standard Error 28.98954 Observations 8 ANOVA df SS MS F Significance F Regression 1 51907.64 51907.64…Problem 1 The following data recaps the number of portions of each menu item sold on Friday evening for the past five weeks: Week 1 Week 2 Week 3 Week 4 Week 5 Last Friday Chicken 71 60 55 59 90 Pork Chops 60 43 57 61 81 Prime Rib 90 71 51 59 107 Lobster 82 63 75 80 91 Veal Cutlet 79 40 68 79 90 382 277 306 338 459 a. What is the percentage of total items sold for each menu item averaged over the past five Fridays? b. The manager notes that sales on the second Friday were lower than normal because of a weather problem. Sales on the last Friday were higher than normal because of an in-town sporting event. He believes the number of menu items to be sold this Friday will be about "average"; that is, they will exclude the one lower- than-normal Friday and one higher-than-normal Friday. 1. What is the total number of entrées expected to be served this Friday?Question 3 A. Simplify the following: 1 3n-1.27n+1 ii. 81" 3. 1. iii. 4 8. 2. of G-) 3 (5- 2) + 5% 영+ (21를 x2층-21) 4 3. V. Swipe up for filters Add a caption.