For complete credit show all of your calculations, list your assumptions and formulas, draw relevant tables and plots all on handwritten pages in your notebook.

If there are repetitious calculations you only need to show an illustrative calculation.

5.Calculate the weighted average of price and lotsize. Why are these the same or different from the median and arithmetic mean?

6.What is the correlation between price and lotsize?

7.For the model Y = a + bX + e, where Y = price, X = lotsize, e = deviation of Y from the conditional mean a + bX, what are the best estimators of the slope and the Y-intercept? Sketch the line with these parameters that runs through the scatterplot of Y and X. Be sure to draw the error bars from the data points to the line.

A developmental psychologist suspects that first-born children tend to develop language skills faster than their younger siblings. An explanation for the phenomenon is that first-borns have undivided attention from their parents. As such, it is reasonable that twins and triplets have slower language development than single children. The psychologist collects measures of language skills for each child at age 3 in participating families. The data are below. What can the psychologist conclude with an α of 0.05?

a) What is the appropriate test statistic?
---Select--- na one-way ANOVA within-subjects ANOVA two-way ANOVA

b) Compute the appropriate test statistic(s) to make a decision about H₀.
p-value =  ; Decision:  ---Select--- Reject H0 Fail to reject H0

c) Using the SPSS results, compute the corresponding effect size(s) and indicate magnitude(s).
η² =  ;  ---Select--- na trivial effect small effect medium effect large effect

d) Make an interpretation based on the results.

At least one family type (i.e., single, twins, or triplets) is different on language skills.None of the family types (i.e., single, twins, or triplets) differed on language skills.    

a pilot has his small airplane heading due north at 50 km/h. after two hours of flight he finds himself 40 km east and 70 km north of his starting point. find the velocity of the crosswind that is driving the plane off-course?

This​ year, Midland Light and Gas​ (ML&G) paid its stockholders an annual dividend of

​$2.50

a share. A major brokerage firm recently put out a report on​ ML&G predicting that the​ company's annual dividends should grow at the rate of

6​%

per year for each of the next seven years and then level off and grow at the rate of

3​%

a year thereafter.

​(Note​:

Use four decimal places for all numbers in your intermediate​ calculations.)

a. Use the​ variable-growth DVM and a required rate of return of

12.00​%

to find the maximum price you should be willing to pay for this stock.

b. Redo the​ ML&G problem in part ​a, this time assuming that after year​ 7, dividends stop growing altogether​ (for year 8 and​ beyond,

g=0​).

Use all the other information given to find the​ stock's intrinsic value.

c. Contrast your two answers and comment on your findings. How important is growth to this valuation​ model?

An economist is studying the job market in Denver area neighborhoods. Let x represent the total number of jobs in a given neighborhood, and let y represent the number of entry-level jobs in the same neighborhood. A sample of six Denver neighborhoods gave the following information (units in hundreds of jobs).

Complete parts (a) through (e), given Σx = 204, Σy = 28, Σx² = 7998, Σy² = 172, Σxy = 1132, and r ≈ 0.859.

(a) Draw a scatter diagram displaying the data.

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(b) Verify the given sums Σx, Σy, Σx², Σy², Σxy, and the value of the sample correlation coefficient r. (Round your value for r to three decimal places.)

(c) Find x, and y. Then find the equation of the least-squares line  = a + bx. (Round your answers for x and y to two decimal places. Round your answers for a and b to three decimal places.)

(d) Graph the least-squares line. Be sure to plot the point (x, y) as a point on the line.

(e) Find the value of the coefficient of determination r². What percentage of the variation in y can be explained by the corresponding variation in x and the least-squares line? What percentage is unexplained? (Round your answer for r² to three decimal places. Round your answers for the percentages to one decimal place.)

(f) For a neighborhood with x = 37 hundred jobs, how many are predicted to be entry level jobs? (Round your answer to two decimal places.)
hundred jobs

Beneckea natriegens, a halophilic bacterium that grows very rapidly in optimal conditions, was observed over a period of seven hours. The number of cell counts per cubic centimeter in successive samples during its growth was recorded.

1: Construct a two-way scatter plot for “incubation time” against the “bacterial count” and on a separate graph construct a two-way scatter plot for “incubation time” against log of the “bacterial count”. Looking at the two graphs you plotted, explain as to which of these two do you consider to be closest to a linear relationship?

2: Compute r, the Pearson correlation coefficient

3: At the 0.05 level of significance, test the null hypothesis that the (“incubation time” and “bacterial count”) population correlation coefficient [ρ] is equal to 0.

4: Use the regression equation to predict the “bacterial count” for “incubation time” of 15 minutes.  

Agency – Practice Hypothetical’s

Basic Facts: Professor Green hires Helen Brown to sell his used law books for him because they are cluttering up his office. He says to her “you have authority to sell certain specified law books for $10.00 or more each.” Professor Green gives Helen the key to his office in order to show people the books and puts up signs all over campus which say:

USED BOOKS FOR SALE

Professor Green has Used Law Books for Sale

Price is Negotiable

See Helen Brown for further details

Professor Green also tells Helen the following:

1. Don’t sell, under any circumstances, my two books on agency law because I can never remember all the silly rules.

2. Don’t stand on the chair because it’s broken.

Hypo 1. Helen sells a corporate book for $25.00. Professor Green has forgotten to tell Helen that he also doesn’t want her to sell his contracts books. Can he get it back?

Hypo 2. Helen takes a second customer into the office and shows her the book selection. However, the dust on the books is so bad that the customer has an asthma attack and runs out. Helen hires someone to come in and clean the books and runs a bill of $25.00. Does Professor Green have to pay the bill?

Hypo 3. Helen takes a customer into the office and is offered $1,000.00 for the agency book. She is excited about the amount and, forgetting what Professor Green told her, sells it to the customer. Can Professor Green get it back?

Hypo 4. Helen sells Professor Green’s old corporations book for $5.00 and, getting angry, he demands that the customer return the book. Can he get it back?

Hypo 5. Helen steps on the chair to reach for a law book to sell it and injures herself. Can she recover any damages for her injury from Professor Green?

You wish to take an Excel course. You may enroll at one within your school or you may take a community class at the local library. You've gathered the following information to aid in your decision-making process.

Required:

a. Indicate in the table above which costs are relevant and which are not relevant in the choice between these two alternatives.

b. What is the differential cost between the two alternatives?

SHOW ALL WORK AND CALCULATIONS!

Madison Company produces a single product which sells for $80 per unit. Fixed expenses total $18,000 per month, and variable expenses are $44 per unit. During the current month, sales, in units, totaled 700 units.

Using the information above, match each of the items listed below with the appropriate amount.

1.Contribution margin per unit.

2.Contribution margin ratio

3.Break-even point in units.

4.Break-even point in dollars.

5.Total contribution margin at the break-even point.

6.Net income during the current month.

7.Margin of safety during the current month.

8.Margin of safety rate during the current month.

9.Operating leverage during the current month.

10.Sales, in units, needed for a target profit of $9,000

11.Sales, in dollars, needed for a target profit of $8,100.

12.If sales next month increase by 100%, what will be the net income?

A. 45%

B. 750 units

C. 500 units

D. $36

E. 3.5

F. $32,400

G. 28.6%

H. $18,000

I. $58,000

J. $7,200

K.$16,000

L. $40,000