(b) The examination results of 13 students in three statistics papers (a foundation paper, ST777; a...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
(b) The examination results of 13 students in three statistics papers (a foundation paper, ST777; a more advanced paper, ST888; and a dissertation, ST999) were as follows. Note that grade of ST999 is on a pass/fail basis. Here 1 stands for pass while 0 stands for fail. ST777 (x) ST888 (y) ST999 (2) 70 88 73 99 70 89 84 77 92 73 60 88 78 54 77 0 57 83 60 79 70 1 1 1 1 1 0 60 84 52 42 1 1 01 73 65 1 1 Useful summary statistics for the data are: = 1041 = 84801 x Yi = = 856 ? = 58402 xiyi = 70203 i. Calculate and comment on the sample correlation coefficient between the marks of ST777 and ST888. Is this correlation significant at 5% level? ii. If you were told a student achieved a mark of 55 in ST777, give a point prediction for that student's mark in ST888. Please carefully state the assumptions you make here. iii. Explain why it is inappropriate to use linear regression to model the outcome of ST999 based on the marks of ST777 and ST888. iv. Finally, we would like to use logistic regression to predict the outcome of ST999 based on the marks of ST777 and ST888. Write down the algebraic form of the model. [10 marks for both parts; 20 marks in total] (b) The examination results of 13 students in three statistics papers (a foundation paper, ST777; a more advanced paper, ST888; and a dissertation, ST999) were as follows. Note that grade of ST999 is on a pass/fail basis. Here 1 stands for pass while 0 stands for fail. ST777 (x) ST888 (y) ST999 (2) 70 88 73 99 70 89 84 77 92 73 60 88 78 54 77 0 57 83 60 79 70 1 1 1 1 1 0 60 84 52 42 1 1 01 73 65 1 1 Useful summary statistics for the data are: = 1041 = 84801 x Yi = = 856 ? = 58402 xiyi = 70203 i. Calculate and comment on the sample correlation coefficient between the marks of ST777 and ST888. Is this correlation significant at 5% level? ii. If you were told a student achieved a mark of 55 in ST777, give a point prediction for that student's mark in ST888. Please carefully state the assumptions you make here. iii. Explain why it is inappropriate to use linear regression to model the outcome of ST999 based on the marks of ST777 and ST888. iv. Finally, we would like to use logistic regression to predict the outcome of ST999 based on the marks of ST777 and ST888. Write down the algebraic form of the model. [10 marks for both parts; 20 marks in total]
Expert Answer:
Posted Date:
Students also viewed these mathematics questions
-
SMC is a world leader in the design and manufacturing of industrial gas turbines. SMC has been in business for over sixty years, with a great reputation for high-quality products. Its reputation is...
-
This assignment requires you to complete the 2022 tax reporting for a fictional woman named Anna Smith. Question 1 T1 - step 4 - line 66 This is Anna's taxable income Answer: Question 2 T1 - step...
-
CoursHeroTranscribedText: Question 1 The daily volume of a brokerage company follows a normal distribution. The director wants to estimate the daily volume negotiated. a) What size should have a...
-
Creativity and Innovation Management (Feb. 2008) published an article on identifying the social network characteristics of lead users of children's computer games. Data were collected for n = 326...
-
Wong Company reports the following data: Finished Goods Inventory: Beginning balance, in units ...... 500 Units produced ............ 3,100 Units sold .............. (1,500) Ending balance, in units...
-
David files a bankruptcy petition under Chapter 13. After the claims of secured and priority creditors have been satisfied, Davids remaining bankruptcy estate has a value of $100,000. Davids...
-
Maxwell Company has an opportunity to acquire a new machine to replace one of its present machines. The new machine would cost \(\$ 90,000\), have a five-year life, and no estimated salvage value....
-
Job costing, unit cost, ending work in process. Raymond Company produces pipes for concert- quality organs. Each job is unique. In April 2009, it completed all outstanding orders, and then, in May...
-
1.4 Exercise 1 - (2 Points): Our data includes some records which are not actually plays and should not be considered in our analysis. Additionally, some of the games went into an extra period due
-
Formula Calculation Below you can see Constants A, B, C, D, and E and their respective Values. To the right is a partially complete table with X and Y variables. The goal of this exercise is to...
-
What variables affect the value of a stock according to the dividend-growth model? What role do earnings play in this model? How do interest rates and risk affect a stock's price in the Capital...
-
1) Estimation of CIS for individual Janice estimated income for YA 2019 are as follow. Statutory income: Business Employment Rental Total income Less: Personal relief Chargeable income 2) Under...
-
Boyd Corporation issued $1,500,000 of 9% nonconvertible bonds at 107, due in 10 years. Each $1,000 bond was issued with 45 detachable stock warrants, each of which entitled the holder to purchase,...
-
Deliberate Speed Corporation (DSC) was incorporated as a private company. The company's accounts included the following at June 30: Accounts Payable Buildings Cash Common Stock Equipment Land Notes...
-
Who bears more credit risk in a five-year fixed-for-floating interest-rate swap when the yield curve is upward sloping, the fixed rate payer or receiver? Assume th both parties have the same credit...
-
On January 1, 2021, Sumrall Co. signed a P6,000,000, 9%, note payable, after receiving the loan from Micah Bank. The note matures on December 31, 2024, and the interest is paid every December 31....
-
Air pollution generated by a steel mill is an example of a) a positive production externality. b) a negative production externality. c) a public good. d) the free-rider problem. State and local taxes...
-
Masters Auto Repair Inc. is evaluating a project to purchase equipment that will not only expand the companys capacity but also improve the quality of its repair services. The board of directors...
-
Sean Roberts is reviewing his companys investment in a cement plant. The company paid \($15,000,000\) five years ago to acquire the plant. Now top management is considering an opportunity to sell it....
-
Change seems to be a fact of life, yet in Texas some things remain the same, such as peoples love for Texas-style barbecue. As you drive from Houston to Waco, for example, you will see many roadside...
Study smarter with the SolutionInn App