Describe a research effort where you could use a Multiple Regression analysis. It could be something related to work productivity, or perhaps a student’s performance in school.

List three variables (X1, X2, X3) you’d include in a Multiple Regression Model in order to better predict an outcome (Y) variable. For example, you might list three variables that could be related to how long a person will live (Y). Or you might list three variables that contribute to a successful restaurant. Your Regression Model should have three variables that will act as “predictors” (X1, X2, X3) of a “criterion” (Y’). Note that the outcome or criterion variable (e.g. how long a person would live, or the success/profit made by a restaurant measured) in must be a “Measurement” variable, that is something that is measured on a scale like inches, pounds, IQ, lifespan, stock value, etc. But that the predictors (X variables) can be either a measurement variable OR a categorical variable such as gender, political party, location, etc.

4. A teacher believes that whatever he says in class has no effect on his students. Just as he's about to quit his profession, a statistician enters the room and suggests that the teacher design a study to test his assumption. The study will look at whether providing in-class feedback on homework assignments enhances classroom performance. The teacher wants to know whether providing feedback before or after returning the assignments is most useful. He's also interested in the most effective means of presenting the feedback: verbal presentation, written handout, or a summary on overheads. Ultimately, he'd like to identify the best approach for increasing test scores of the students. There are 12 classes available in the school for the experiment. Design an experiment that helps answer these questions. Be sure to identify the factors, the levels of the factors, the treatment groups, and the response variable. Comment on how the students will be assigned to the different treatment groups. Is it possible to use simple random assignment of all students? As much as possible, use diagrams instead of words to summarize your experimental design.

The Yale program of affairs is interested in understanding student perspectives of their educational experience and has tasked you with taking a look at the problem.  You have obtained data from your school as well as several other schools that offer a Program of Affairs that includes the type of curriculum (traditional on-campus versus non-traditional online), and the student’s evaluation of the course(low versus high).  You also have data for a third variable, which includes the emphasis of the course of study(quantitative (i.e., a lot of math) versus non-quantitative).  You are interested in explaining evaluations of the program made by students.  Based on the data below, what can you report?

Combined Data

Quantitative Emphasis

Non-Quantitative Emphasis

Mark is a 35 year-old who has gained some weight since college. He participated in team sports in high school and college, but has had trouble staying active since graduation from college. He is 5' 10" and weighs 180 lb. His weight has stabilized, so he has been monitoring his food intake recently and found that he is consuming around 2800 Calories/day. His goal is to lose the 10 pounds he gained over the past year, but wants to gain muscle while losing fat. Since he knows that he needs help accomplishing his goals, he goes to a personal trainer to get advice on a diet and exercise program.

4. People often limit their intake of carbohydrate when trying to lose weight. Would you suggest Mark limit his intake of carbohydrate while engaging in a regular exercise program? Why or why not? What role does carbohydrate play in an exercise program?

Richardson Company is contemplating the establishment of a share-based compensation plan to provide long-run incentives for its top management. However, members of the compensation committee of the board of directors have voiced some concerns about adopting these plans, based on news accounts related to a recent accounting standard in this area. They would like you to conduct some research on this recent standard so they can be better informed about the accounting for these plans.

Instructions

If your school has a subscription to the FASB Codification, log in and prepare responses to the following. Provide Codification references for your responses.

Identify the authoritative literature that addresses the accounting for share-based payment compensation plans. Briefly discuss the objectives for the accounting for stock compensation. What is the role of fair value measurement? The Richardson Company board is also considering an employee share-purchase plan, but the Board does not want to record expense related to the plan. What criteria must be met to avoid recording expense on an employee stock-purchase plan?

An example for numerical to categorical data off the top of my head: Light of different color has different wavelengths, but certain ranges of wavelengths qualify as certain shades/hues/tints/etc. You can generalize and say a certain range can be called "blue" or "red". Red is usually attributed to light that has a wavelength between 780 and 622 nanometers, whereas blue light is between 492 and 455 nm. To the average person, "red" and "blue" obviously mean more than a given wavelength of light, so a categorical/qualitative description might be of more use in such a context. Another example would be grading scales. Certain ranges of scores will qualify as an A, a B, and so on. Suppose you want to examine the grades of high school students admitted into a prestigious university. Students that fall in the A/B range tend to have a better chance of being admitted, while those at the other end of the spectrum are "significantly" less likely to enroll. ("Significant" here can take on the statistical meaning of the word.

Give Examples (this is complex analysis):

(a.) First characterize open and closed sets in terms of their boundary points. Then give two examples of sets satisfying the given condition: one set that is bounded (meaning that there is some real number R > 0 such that |z| is greater than or equal to R for every z in S), and one that is not bounded. Give your answer in set builder notation. Finally, choose one of your two examples and prove that is neither open nor closed.

(b.) Give two examples of a function f: C→C that is continuous at z=0 but not differentiable at z=0 using the Cauchy-Riemann equations.

(c.) Find a cube root of -1, other than -1, in two ways: first, by using high school algebra (solve the equation z^3= -1 by factoring the polynomial z^3+1 as z+1 times a quadratic polynomial and then determine the roots of the quadratic polynomial) and second, by using the formula for computing nth roots of a complex number.

Question 2                                                                                                                   8 marks

The following information relates to the business of Paisley’s Guitar School for the month of June 2019:

June

1       Purchased equipment for $42,000. Paid $6,000 deposit and agreed to pay the balance in 60 days.

3       Paid salaries of $15,800.

8       Brad Paisley withdrew $21,000 from the business for his personal use.

14      Paid $9,800 for radio commercials incurred.

19      Paid $7,400 to creditors for supplies that had previously been purchased on credit.

23      Received $3,700 from customers to reduce the balance in their accounts.

30      Earned $78,000 in tuition fees during the month. Of these, 25% of the fees were collected in cash and 75% will be paid within 2 months.

Required:

Prepare the general journal entries to record the above transactions that occurred during June 2019 (ignore GST, and narrations are NOT required).                     

Paul and Tina are age 66 and 62 respectfully. They file a joint return. They have itemized deductions totaling $15,000. They support their 24 year old son, Jed who goes to school on a full time basis. He earns $4,000 per year as a waiter at a restaurant.

Paul and Tina also support a friend Janice who came to dinner one evening and never left. She does not earn any money.

Wages ……………………………………   $170,000

Interest from savings ……………………           12,000

Interest on NYS qualified bonds …………           7,000

Inheritance from Tina’s Aunt Lucy…………       6,000

Alimony paid to Tina’s ex husband                       8,000

Child support from Tina’s ex husband Eric..       10,000

Prize from contest at church……………….          1,000

Dividend from ABC Corp. stock …………           2,000

1. What is Paul and Tina’s gross income?

2. What is Paul and Tina’s adjusted gross income?

3. What is Paul and Tina’s standard deduction?

4. What is Paul and Tina’s tax liability?