Formula that you might use:

For a simple linear regression model

yi= α + βxi+ui, i=1,2,...,N.

Homework Assignment 1

1. Suppose researchers want to know the effect of elementary school class size on students’ math scores(total score is 100), intuitively they think there exists a negative linear relationship between class size and students’ math scores. The researchers want to know the marginal effect of class size on student’s math scores.

1) Based on the background information, design an linear regression model for this research question, and briefly explain your dependent variable, independent variable and the meaning of the parameters.
2) Briefly explain the assumptions of Classical linear regression model (CLRM)

3) Suppose the assumptions of the CLRM are satisfied, what properties of your estimators should be expected to have?

Albert Bandura has conducted a number of studies on aggression in children. In one study, one group of nursery school children were shown a film of adults punching, hitting (with a hammer), kicking, and throwing a large rubber Bobo doll. Another group was not shown the film. Afterward, both groups were allowed to play with Bobo dolls in a playroom, and the number of violent contacts were measured in each child. Let us imagine that we replicated this study and obtained the following data :scores are the number of violent contacts with the Bobo doll): Film Group: 20, 65, 41,80,52,35, 15, 75,60,50,47,33 No Film Group: 5,20, 0,0,10, 8, 30, 13,0,25 a) State formally the hypotheses necessary to conduct a directional test of no difference between the two population means. b) Complete the test at the .01 level of significance, and state your conclusion.

An MCAT is an exam that university students take if they are interested in applying to med school. A professor at the University of Guelph quotes the following: "Because only a minority of university students actually take the MCAT, the scores overestimate the ability of a typical university student. The mean MCAT score is about 508, but I think that if all students took the test, the mean score would be no more than 450". This professor gave the test to a random sample of 500 students in Ontario, and found that these students had a mean score of x = 461.

a) Is this good evidence against the claim that the mean for all students is no more than 450? For the purpose of this example, let us assume that the population standard deviation σ of MCAT scores in our Ontario population is 100.

b) would this statistically significant result be practically significant?

b) Would this statistically significant result be significant in a practical sense?

You and your classmates are boarding a lifeboat from a ship sinking in the middle of the ocean. You each are guaranteed a seat. Unfortunately, there are 10 others seeking a seat, as well, with only three seats remaining. As a group, you must decide which three people from the following list you will bring in your lifeboat and why?

• Restaurant manager, 67, married with two kids
• Croatian first-year medical student, 23, speaks little English
• Single mother, 34, has 3 kids
• LGBT male accountant, 58, a professional triathlete
• High school grad, 18, going into the army
• Homeless person, 40, Harvard dropout
• Successful entrepreneur, 49, chronic medical problems
• Top-ranked Olympic swimmer from Brazil, 21, no English
• Billionaire's daughter, 6, certified genius
• Comedian of Latino descent, 38, internationally famous

#45 — LO.6 Scott and Laura are married and will file a joint tax return. Scott has a sole proprietorship (not a “specified services” business) that generates qualified business income of $300,000. The proprietorship pays W–2 wages of $40,000 and holds property with an unadjusted basis of $10,000. Laura is employed by a local school district. Their taxable income before the QBI deduction is $386,600 (this is also their modified taxable income).

a. Determine Scott and Laura’s QBI deduction, taxable income, and tax liability for 2020.

b. After providing you with the original information in the problem, Scott finds out that he will be receiving a $6,000 bonus in December 2020 (increasing their taxable income before the QBI deduction by this amount). Redetermine Scott and Laura’s QBI deduction, taxable income, and tax liability for 2020.

c. What is the marginal tax rate on Scott’s bonus?

Refer to the CDI data set in Appendix C.2.
a. For each geographic region, regress the number of serious crimes in a CDI (Y) against
population density (X" total population divided by land area), per capita personal income
(X2 ), and percent high school graduates (X3 ). Use first-order regression model (6.5) with
three predictor variables. State the estimated regression functions.
b. Are the estimated regression functions similar for the four regions? Discuss.
c. Calculate MSE and R2 for each region. Are these measures similar for the four regions?
Discuss.
d. Obtain the residuals for each fitted model and prepare a box plot of the residuals for each
fitted modeL Interpret your plots and state your findings.

I Can do it by my self but Can you explain how what is meaning (b), (c) and (d)
Just write explantions

*1. The national norm for third graders on a standardized test of reading achievement is a mean score of 27 σ 4 . Rachel determines the mean score on this test for a random sample of third graders from her school district. (a) Phrase a question about her population mean that could be answered by testing a hypothesis. (b) Phrase a question for which an estimation approach would be appropriate.

Needing problem 2 answered, but question 1 goes along with the problem.

*2. The results for Rachel’s sample in Problem 1 is X=33.10 (n=36). (a) Calculate σX . (b) Construct the 95% confidence interval for her population mean score. (c) Construct the 99% confidence interval for her population mean score. (d) What generalization is illustrated by a comparison of your answers to Problems 2b and 2c? Explain in precise terms the meaning of the interval you calculated in Problem 2b.

Enter into the debate yourselves by providing your own opinion on whether or not correct grammar is always necessary. Consider the following questions as you construct your post: Do you feel that grammar is a reflection of intelligence? Could "bad" grammar possibly be a reflection of something else? (Discuss one of the intersecting privileges that Fabello argues reinforces our concept of "correct" grammar.) How do you feel when you notice improper grammar when someone is speaking and/or writing? Conversely, how do you feel when someone corrects your grammar? Are you appreciative, annoyed, etc? Do you feel that we should always practice good grammar, or do you believe that grammar is conditional and should only be heeded in certain scenarios? In other words, is it permissible to use "improper" grammar with friends or family and not permissible to use in school, on the job, etc?

“A healthy outside starts from the inside.”~ Robert Urich PHYSICAL HEALTH AND SAFETY supports children's overall education and growth. Young children learn best when they have healthy minds and bodies. You can promote children's physical health and development by planning activities that involve fine and gross motor development and by teaching children good nutrition and hygiene. Answer the following about movie in a Word document and submit in the assignment section: What was the most shocking statistic from the movie for you? What did you think about the “healthy lunches and snacks” program in the public school? Do you agree or disagree with the results? Identify 3 changes that have been made in fast food today? What personal responsibility do we have as parents and caregivers in regards to proper nutrition for young children?