A statistical program is recommended.

A marketing professor at Givens College is interested in the relationship between hours spent studying and total points earned in a course. Data collected on 10 students who took the course last quarter follow.

(a)

Develop an estimated regression equation showing how total points earned can be predicted from hours spent studying. (Round your numerical values to two decimal places.)

ŷ =

(b)

Test the significance of the model with α = 0.05. (Use the F test.)

State the null and alternative hypotheses.

H₀: β₀ = 0
H_a: β₀ ≠ 0

H₀: β₀ ≠ 0
H_a: β₀ = 0  

H₀: β₁ = 0
H_a: β₁ ≠ 0

H₀: β₁ ≠ 0
H_a: β₁ = 0

H₀: β₁ ≥ 0
H_a: β₁ < 0

Find the value of the test statistic. (Round your answer to two decimal places.)

Find the p-value. (Round your answer to three decimal places.)

p-value =

State your conclusion.

Do not reject H₀. We cannot conclude that the relationship between hours spent studying and total points earned is significant.

Reject H₀. We conclude that the relationship between hours spent studying and total points earned is significant.

Do not reject H₀. We conclude that the relationship between hours spent studying and total points earned is significant.

Reject H₀. We cannot conclude that the relationship between hours spent studying and total points earned is significant.

(c)

Predict the total points earned by Mark Sweeney. He spent 85 hours studying. (Round your answer to two decimal places.)

points

(d)

Develop a 95% prediction interval for the total points earned by Mark Sweeney. (Round your answers to two decimal places.)

points to  points

A marketing professor at Givens College is interested in the relationship between hours spent studying and total points earned in a course. Data collected on 10 students who took the course last quarter follow.

(a)

Develop an estimated regression equation showing how total points earned can be predicted from hours spent studying. (Round your numerical values to two decimal places.)

ŷ =

(b)

Test the significance of the model with α = 0.05. (Use the F test.)

State the null and alternative hypotheses.

H₀: β₁ = 0
H_a: β₁ ≠ 0

H₀: β₀ = 0
H_a: β₀ ≠ 0    

H₀: β₀ ≠ 0
H_a: β₀ = 0

H₀: β₁ ≠ 0
H_a: β₁ = 0

H₀: β₁ ≥ 0
H_a: β₁ < 0

Find the value of the test statistic. (Round your answer to two decimal places.)

________

Find the p-value. (Round your answer to three decimal places.)

p-value = ______

State your conclusion.

Reject H₀. We cannot conclude that the relationship between hours spent studying and total points earned is significant.

Reject H₀. We conclude that the relationship between hours spent studying and total points earned is significant.     

Do not reject H₀. We conclude that the relationship between hours spent studying and total points earned is significant.

Do not reject H₀. We cannot conclude that the relationship between hours spent studying and total points earned is significant.

(c)

Predict the total points earned by Mark Sweeney. He spent 70 hours studying. (Round your answer to two decimal places.)

__________ points

(d)

Develop a 95% prediction interval for the total points earned by Mark Sweeney. (Round your answers to two decimal places.)

______points to _____points

Statistical Process Control

T. Crews, Inc. has been contracted to make Foolio. The recipe calls for 100 milligrams of taurine in each 16-ounce bottle. To make sure that they are in compliance, T. Crews has pulled eight bottles of Foolio from its last eleven batches and tested them for taurine content. The data from these tests is below.

Use this data for questions 8 – 14.

1. What is UCL_X-bar?

a. Less than 100.00

b. Between 100.00 and 102.00

c. Between 102.01 and 104.00

d. Between 104.01 and 106.00

e. Greater than 106.00

2. What is LCL_X-bar?

  a. Less than 96.00

b. Between 96.00 and 97.00

c. Between 97.01 and 98.00

d. Between 98.01 and 99.00

e. Greater than 99.00

3. All points on the X-bar chart are within the control limits.

4. Is this process considered in control?

a. Yes, because all points on the r-chart are within the control limits

b. Yes, because all points on the r-chart and x-bar chart are within the control limits

c. No, because points on the r-chart or x-bar chart are not within the control limits

d. No, because points on R chart are too close to average

5. When an activity has two precedent activities, its early start time is equal to:

a) The later of the two precedent activities’ “Early Start” times

b) The activity’s start time minus its duration

c) The earlier of the two precedent activities’ “Early Finish” times

d) The later of the two precedent activities’ “Early Finish” times

6. An obstacle to supply chain integration is

a) information sharing between partners

b) limited supply chain visibility

c) considering the capabilities of partners when creating new processes

d) joint investment between firms in a supply chain

5.6.2.  Programming Challenge : Song with Parameters

Here’s another song, The Ants Go Marching, that is very similar to the This Old Man song in its repetitive structure.

 The ants go marching one by one, hurrah, hurrah
 The ants go marching one by one, hurrah, hurrah
 The ants go marching one by one
 The little one stops to suck his thumb
 And they all go marching down to the ground

 The ants go marching two by two, hurrah, hurrah
 The ants go marching two by two, hurrah, hurrah
 The ants go marching two by two
 The little one stops to tie his shoe
 And they all go marching down to the ground

 The ants go marching three by three, hurrah, hurrah
 The ants go marching three by three, hurrah, hurrah
 The ants go marching three by three
 The little one stops to climb a tree
 And they all go marching down to the ground
 

1. Print out the The Ants Go Marching song and circle the repeated parts of the song.

2. In the active code window below, create a method or methods that takes parameters to print out a verse. The method(s) should be abstract enough to work for all 3 verses. Use good commenting for your methods that describe the @param. For the autograder, make sure you create a method called verse that takes 2 parameters.

3. In the main method, create an object of the class and call the method(s) you created in the last step to print out 3 verses of the song. Can you add more verses?

Create method(s) with parameters to print out verses of the song The Ants Go Marching. https://www.lyrics.com/lyric/5526512/The+Ants+Go+Marching

public class Song
{
// Create at least 1 method called verse that takes 2 parameters
// that can be used to print out the verses of the song The Ants Go Marching

public static void main(String args[])
{
// Create a Song object and call its method(s) to print out
// the verses of The Ants Go Marching
// There should be atleast 1 method called verse that takes 2 arguments.

}
}

ou have learned that earnings functions are one of the most investigated relationships in economics. These typically relate the logarithm of earnings to a series of explanatory variables such as education, work experience, gender, race, etc. (a) Why do you think that researchers have preferred a log-linear specification over a linear specification? (b) To establish age-earnings profiles, you regress ln(Earn) on Age, where Earn is weekly earnings in dollars, and Age is in years. Plotting the residuals of the regression against age for 1,744 individuals looks as shown in the figure: Do you sense a problem? (c) You decide, given your knowledge of age-earning profiles, to allow the regression line to differ for the below and above 40 years age category. Accordingly you create a binary variable, Dage, that takes the value one for age 39 and below, and is zero otherwise. Estimating the earnings equation results in the following output (using heteroskedasticity-robust standard errors): = 6.92 – 3.13 × Dage – 0.019 × Age + 0.085 × (Dage × Age), R2 = 0.20, SER = 0.721. (38.33) (0.22) (0.004) (0.005) Sketch both regression lines: one for the age category 39 years and under, and one for 40 and above. Does it make sense to have a negative sign on the Age coefficient? Predict the ln(earnings) for a 30 year old and a 50 year old. What is the percentage difference between these two? (d) The F-statistic for the hypothesis that both slopes and intercepts are the same is 124.43. Can you reject the null hypothesis? (e) What other functional forms should you consider?

championship swimmers take about 22 seconds and about 30 arm strokes to move through the water in a 50 meter freestyle race.

A) A swimmers metabolic power is 800 W. if the efficiency for swimming is 25%, how much energy is expended moving through the water in a 50 m race?

B) if half the energy is used in arm motion and half in leg motion, what is the energy expenditure per arm stroke?

C) Model the swimmers hand as a paddle. During one arm stroke, the paddle moves halfway around a 90 cm radius circle. If all the swimmers forward propulsion during an arm stroke comes from the hand pushing on the water and none from the arm, what is the average force of the hand on the water?

D) How much cal should the swimmer consume from food for such a race?

E) How much energy would be lost in form of thermal energy?

7. Pat pays $10,000 for a newly issued two-year government bond with a $10,000 face value and a 6 percent coupon rate. One year later, after receiving the first coupon payment, Pat sells the bond. If the current one-year interest rate on government bonds is 5 percent, then the price Pat receives is:

A. $10,000.

B. $500.

C. greater than $10,000.

D. less than $10,000.

8. Sydney purchases a newly-issued, two-year government bond with a principal amount of $10,000 and a coupon rate of 6% paid annually. One year before the bonds matures (and after receiving the coupon payment for the first year), Sydney sells the bond in the bond market. What price (rounded to the nearest dollar) will Sydney receive for his bond if the prevailing interest rate is 5%?

A. $9,524

B. $10,000

C. $10,095

D. $10,600

9. One year before maturity the price of a bond with a principal amount of $1,000 and a coupon rate of 5% paid annually fell to $981. The one year interest rate:

A. rose to 8.5%.

B. rose to 7.0%.

C. rose to 6.0%.

D. remained at 5%.

10. When Federal Reserve actions cause interest rates on newly issued bonds to decrease from 6% to 5%, the prices of existing bonds:

A. increase.

B. decrease.

C. remain unchanged.

D. decrease only if the coupon rate is less than 5%.

Summarize the following article in your own words(300 words)

Financial Restatements Hit Six-Year Low By Tatyana Shumsky Jun 7, 2017

The head office and logo of Valeant Pharmaceuticals International Inc. in Laval, Quebec, Canada. The drug maker was one of several companies to restate its financials during 2016. The head office and logo of Valeant Pharmaceuticals International Inc. in Laval, Quebec, Canada. The drug maker was one of several companies to restate its financials during 2016. PHOTO: AP The share of U.S. companies restating their results hit a six-year low in 2016, a sign that finance chiefs have strengthened their oversight of financial reporting in recent years. Just 671 public companies disclosed they would need to reissue or revise their financial filings last year, or 6.8% of the 9,831 companies, according to an upcoming annual study by Audit Analytics. That’s the lowest number of restatements in fifteen years and the lowest share since 2010, when 6.7% of companies disclosed they would need to restate financials. That year 847 out of 12,713 listed companies told investors a restatement was needed. Tighter regulation and a decline in the number of U.S. listed companies are the two key drivers. Finance chiefs have stepped up their controls over financial reporting to comply with the Sarbanes-Oxley Act of 2002. The law requires public companies to have an external auditor review the systems and processes they have in place to prevent financial fraud. “Any improvement in internal controls over financial reporting is going to reduce the likelihood of a financial restatement,” said Don Whalen, director of research at Audit Analytics. “And even if [a weakness] does happen, it’s going to be found more quickly and have less impact,” he added. At the same time, the number of U.S. listed companies has dropped 37% over the past decade. Startups are staying in private hands for longer because private equity and venture capital firms are flush with cash, meaning they can avoid public markets. Meanwhile, a boom of merger and acquisition activity has thinned the ranks of listed companies. With fewer companies reporting to the Securities and Exchange Commission, the number of of mistakes also declines. As a result, the number of restatements notched last year, at 671, was the lowest in a decade, but the rate was a six-year low. Larger companies have been more successful at avoiding reissuance restatements, which require them to re-file their financial reports with the SEC. Just 51 accelerated filers — companies with a public stock ownership of $700 million or more that have earlier deadlines for submitting their financials to the agency — disclosed reissuance restatements last year. This was the smallest number in the past seven years and accounted for 1.5% of the 3,334 companies that qualified as accelerated filers in 2016.

Behavioral genetics Tool Box) e.g. breeding experiments (selective-, in-, crossbreeding; hybridization of behavior; artificial selection, cross-fostering, twin analyses, and single gene mutations. Ex. Hygienic vs. non-hygienic bees, cricket song patterns, collecting nesting material in love birds, flight patterns of migratory birds. What do these experiments tell us about the origins of behavior? What are possible limitations?

A seed company is developing many strains of tomatoes by selective breeding. Trials of two similar but not identical strains with favorable qualities were done in two fields under similar conditions. The company would like to know if the population average weight of tomato for strain 2 (u2) is statistically significantly larger than the population average weight for stain 1 (u1). Consequently they picked at random 15 tomatoes from the field with strain 1 and 14 from the field with strain 2 and weighed them.

Weight grams:

strain 1

132, 68, 74, 93, 61, 81, 62, 68, 103, 72, 64, 104, 62, 86, 95.

strain 2

40, 88, 112, 127, 114, 124, 95, 125, 989, 86, 142, 130, 70, 81.

Does the strain 2 have significantly greater mean weight than for strain 1? Test this hypothesis at the alpha = 0.01 and 0.05 levels, using the two samples. Make the assumption that the weight is distributed normally in both populations with equal variances. You will be testing u1 vs u2.

1) Which diagram shows reject/ fail to reject regions for this problem?

2) what is the test statistic is use for question?

3) compute the sample means and standard deviations that you will need for 5 &6.

4) what is the test statistic value computed from the data in question 1 &3?

5) if the level of significance alpha is .01 state the critical values which you would use relevant to questions 1&4.

6) if the level of significance alpha is 0.05 state the critical value which you would use relevant to questions 1 and4.