ProQ X FERS A8.p( X Nrpo X MInbo X Com X NYU X GOES A8.p( X M (6e3 X Gnepe X G bilate X Kak X + V X C PDF Viewer | chrome-extension://oemmndcbudboiebfnladdacodfmadadm/https://brightspace.nyu.edu/d21/common/viewFile.d2lfile/Database/... C X A t 1 N13 3 + ABTOMaTN4ecKN from this comparison? (3) f) In general, what is the approximate percentage of data points that should lie within s (2s) of the least squares line? In this exercise, how many data points lie within s (2s) of the least squares line? (3) Problem 2 (4) MBS, Ex 11.82 on page 666 Spreading rate of spilled liquid The data for this problem is in the attached file LSPILL. KK LO O 22:27 9.C Clear 22.11.2022 LJ\fProQue X FEES A8.pdf X Nrpok X M Inbox ( X Compe X GERS A8.pdf X M (6e3 Te X GnepeB( X G bilater: X Kak ne X + V X C PDF Viewer | chrome-extension://oemmndcbudboiebfnladdacdfmadadm/https://brightspace.nyu.edu/d21/common/viewFile.d2lfile/Database/... " A 2 3 3 + ABTOMaThyecKN Financial institutions charge, in general, different interest rates on their loans. A financial analyst was interested in the relationship between Y and X, where Y = the default rate per 1000 loans (i. e. the number of loans that default per 1000 loans) X = the interest rate (%) on a loan. She collected data on a random sample of financial institutions, that is, for each institution in the sample she recorded the interest rate charged by that institution and the number of defaults per 1000 loans given by that institution. Answer the following questions using the Minitab output on the next page. a) Interpret the regression coefficients in the estimated model. (2) b) Is there a statistically significant linear relationship between Default rate and Interest rate? Test at a = 0.01 (State Ho and H1, the rejection rule of the test and your conclusion. ) (3) c) What proportion of variation in Y is explained by the model? What is the sample correlation coefficient between Y and X? (2) d) A banker claims that for every 1 percentage increase in Interest rate the expected change in Default rate is 7 loans. Based on the estimated model can you reject his claim? (Answer by constructing an appropriate 95% confidence interval or by using a hypothesis with the significance level a = 0.05).(3) LO O B O Ed CA KK J 22:28 9.C Clear 22.11.2022ProQue X FEES A8.pdf X Nrpok X M Inbox ( X Compe X GERS A8.pdf X M (6e3 Te X GnepeB( X G bilater: X Kak ne X + V X C PDF Viewer | chrome-extension://oemmndcbudboiebfnladdacdfmadadm/https://brightspace.nyu.edu/d21/common/viewFile.d2lfile/Database/... C X A 2 3 3 + ABTOMaTN4ecKN the expected change in Default rate is 7 loans. Based on the estimated model can you reject his claim? (Answer by constructing an appropriate 95% confidence interval or by using a hypothesis with the significance level a = 0.05).(3) e) Estimate the expected default rate on loans of financial institutions, which charge interest rate of 9%. Is this a valid estimate? Explain. (3) Problem 4 (5) MBS, Ex 11.94 on page 673 Ranking driving performance of pro- fessional golfers The data for this problem is in the attached file PGA.. a) (2 ) b ) (2 ) C) (1 ) KK 22:28 LO O 9.C Clear 22.11.2022ProQue X FEES A8.pdf X Nrpok X M Inbox ( X Compe X GERS A8.pdf X M (6e3 Te X GnepeB( X G bilater: X Kak ne X + V X C PDF Viewer | chrome-extension://oemmndcbudboiebfnladdacdfmadadm/https://brightspace.nyu.edu/d21/common/viewFile.d2lfile/Database/... [ A t 3 N13 3 + ABTOMaThyecKN Regression Analysis: DEFAULT RATE versus INTEREST RATE DEFAULT RATE = 4.57 + 4.945 INTEREST RATE Coefficients Term Coef SE Coef T-Value P-Value Constant 4. 57 7.23 0. 63 0 . 548 INTEREST RATE 4. 945 0. 994 4. 97 0 . 002 Analysis of Variance Source DF SS Regression 1 132 . 517 Error 37 . 483 Total 8 170 . 000 Model Summary S R-sq 2 . 31404 Regression Equation LO O Pa CA KK B O 22:28 9.C Clear 22.11.2022ProQue X FEES A8.pdf X Nrpok X MInbox ( X Compe X GERS A8.pdf X M (6e3 Te X GnepeB( X G bilater: X Kak ne X + V X C PDF Viewer | chrome-extension://oemmndcbudboiebfnladdacdfmadadm/https://brightspace.nyu.edu/d21/common/viewFile.d2lfile/Database/... [ A t 3 13 3 + ABTOMaTN4ecKN Regression Equation Descriptive Statistics: DEFAULT RATE, INTEREST RATE Variable N N* Mean SE Mean StDev Minimum Maximum DEFAULT RATE 9 O 40.33 1. 54 4. 61 35.00 48 INTEREST RATE 9 0 7.233 0. 274 0. 823 6. 000 8 . 500 KK 22:28 LO O 9.C Clear 22.11.2022ProQ X FERS A8.p( X Nrpo X MInbo> X Com X NYU X GOES A8.p( X M (6e3 X Gnepe X G bilate X Kak X + V X C PDF Viewer | chrome-extension://oemmndcbudboiebfnladdacdfmadadm/https://brightspace.nyu.edu/d21/common/viewFile.d2lfile/Database/... C A t 1 N13 3 + ABTOMaTN4ecKN Problem 1 (15) The following data give percentage of women working in five companies (x) in the retail and trade industry. The percentage of management jobs (y) held by women in each company is also shown. x = % Working 67 45 73 54 61 y = % Management 49 21 65 47 33 Answer a) and c)-f) by doing your own calculations without using Minitab. Show these calculations in the submitted assignment. a) The least squares line for the data in the above table has a slope 31 = 1.3. What is the y-intercept Bo of that line? (3) b) Interpret coefficients Bo and B1.(2) c) Find the five fitted values and five residuals. What is the sum of the residuals? (3) d) Compute s, the standard error of regression. What is the interpreta- tion of s and what does s estimate? (3) e) Compute sy and interpret it. Compare s with sy. What do you see from this comparison? (3) f) In general, what is the approximate percentage of data points that should lie within s (2s) of the least squares line? In this exercise, how many data points lie within s (2s) of the least squares line? (3) Problem 2 (4) LO B 90m Pi CA KK 22:27 9.C Clear 22.11.2022 LJGoogle Drive Stern Apps Thesaurus G Grammarly Statistics Textbo BI 0 X 0.24 0.25 0.26 0.27 0.28 0.29 0.3 NRMSE 11.82 SPREADING RATE OF SPILLED LIQUID. Refer to LSPELL the Chemical Engineering Progress (January 2005) study of the rate at which a spilled volatile liquid will spread across a surface, Exercise 11.30 (p. 644) and the data saved in the file. Find and interpret r and r2 for the simple linear regression y = mass of the spill and x - elapsed time of the spill. Applying the Concepts-Advanced NW 11.83 SALARY LINKED TO HEIGHT. Are short people short-changed when it comes to salary? According to researchers, tall people tend to earn more money over their careers than short people (Journal of Applied Psychology, June 2004). Using data collected from participants in the National Longitudinal Surveys, the researchers computed the correlation between average earnings (in dollars) and height (in inches) for AR A 20om LEA\"Hum, part D. a d. Find and interpret a 99% condence interval for the mean pivot pintop distance set by all farmers with 10 years of experience. e. Explain why the interval, part a. is wider than the interval, part d. Q 11.94 RANKING DRIVING PERFORMANCE OF PGA PROFESSIONAL (IOLFERS. Refer to The Spurt/oumul study of a new method for ranking the total driving performance of golfers on the PGA tour, Exercise 11.25LD (p 642). You t a straight~line model relating driving accuracy (y) to driving distance (x) to the data saved in the le Of interest is predicting y and estimating E(y) when a: : 300 yards. a. Find and interpret a 95% prediction interval for y. b. Find and interpret a 95% confidence interval for E(y). c. If you are interested in knowing the average driving accuracy of all PGA golfers who have a driving distance of 300 yards, which of the intervals is relevant? Explain. 11.95 SI'READING KATE Of Sl'lLLED LIQUID. Refer to [9|]