Modern medical practice tells us not to encourage babies to become too fat. Is there a positive correlation between the weight x of a 1-year old baby and the weight y of the mature adult (30 years old)? A random sample of medical files produced the following information for 14 females.

In this setting we have Σx = 300, Σy = 1777, Σx² = 6590, Σy² = 226,659, and Σxy = 38,288.

(a) Find x, y, b, and the equation of the least-squares line. (Round your answers for x and y to two decimal places. Round your answers for least-squares estimates to four decimal places.)

(b) Draw a scatter diagram displaying the data. Graph the least-squares line on your scatter diagram. Be sure to plot the point (x, y).

(c) Find the sample correlation coefficient r and the coefficient of determination. (Round your answers to three decimal places.)

What percentage of variation in y is explained by the least-squares model? (Round your answer to one decimal place.)
%

(d) Test the claim that the population correlation coefficient ρ is positive at the 1% level of significance. (Round your test statistic to three decimal places.)

t =

Find or estimate the P-value of the test statistic.

P-value > 0.250

0.125 < P-value < 0.250  

  0.100 < P-value < 0.125

0.075 < P-value < 0.100

0.050 < P-value < 0.075

0.025 < P-value < 0.050

0.010 < P-value < 0.025

0.005 < P-value < 0.010

0.0005 < P-value < 0.005

P-value < 0.0005

Conclusion

Reject the null hypothesis. There is sufficient evidence that ρ > 0.Reject the null hypothesis. There is insufficient evidence that ρ > 0.    Fail to reject the null hypothesis. There is sufficient evidence that ρ > 0.Fail to reject the null hypothesis. There is insufficient evidence that ρ > 0.

(e) If a female baby weighs 25 pounds at 1 year, what do you predict she will weigh at 30 years of age? (Round your answer to two decimal places.)
lb

(f) Find S_e. (Round your answer to two decimal places.)
S_e =

(g) Find a 95% confidence interval for weight at age 30 of a female who weighed 25 pounds at 1 year of age. (Round your answers to two decimal places.)

(h) Test the claim that the slope β of the population least-squares line is positive at the 1% level of significance. (Round your test statistic to three decimal places.)

t =

Find or estimate the P-value of the test statistic.

P-value > 0.2500.

125 < P-value < 0.250   

0.100 < P-value < 0.125

.075 < P-value < 0.100

0.050 < P-value < 0.075

0.025 < P-value < 0.050

0.010 < P-value < 0.025

0.005 < P-value < 0.010

0.0005 < P-value < 0.005

P-value < 0.0005

Conclusion:

Reject the null hypothesis. There is sufficient evidence that β > 0.

Reject the null hypothesis. There is insufficient evidence that β > 0.    

Fail to reject the null hypothesis. There is sufficient evidence that β > 0.

Fail to reject the null hypothesis. There is insufficient evidence that β > 0.

(i) Find an 80% confidence interval for β and interpret its meaning. (Round your answers to three decimal places.)

Interpretation:

For each pound more a female infant weighs at 1 year, the adult weight increases by an amount that falls outside the confidence interval.

For each pound less a female infant weighs at 1 year, the adult weight increases by an amount that falls outside the confidence interval.

For each pound more a female infant weighs at 1 year, the adult weight increases by an amount that falls within the confidence interval.

For each pound less a female infant weighs at 1 year, the adult weight increases by an amount that falls within the confidence interval.

A manufacturer knows that their items have a normally distributed lifespan, with a mean of 7 years, and standard deviation of 1.6 years.

If you randomly purchase one item, what is the probability it will last longer than 11 years?

The future earnings, dividends, and common stock price of Callahan Technologies Inc. are expected to grow 7% per year. Callahan's common stock currently sells for $20.50 per share; its last dividend was $2.00, and it will pay a $2.14 dividend at the end of the current year.

1. Using the DCF approach, what is its cost of common equity? Do not round intermediate calculations. Round your answer to two decimal places.

     %

2. If the firm's beta is 1.5, the risk-free rate is 3%, and the average return on the market is 14%, what will be the firm's cost of common equity using the CAPM approach? Round your answer to two decimal places.

     %

3. If the firm's bonds earn a return of 13%, based on the bond-yield-plus-risk-premium approach, what will be r_s? Use the midpoint of the risk premium range discussed in Section 10-5 in your calculations. Round your answer to two decimal places.

     %

4. If you have equal confidence in the inputs used for the three approaches, what is your estimate of Callahan's cost of common equity? Do not round intermediate calculations. Round your answer to two decimal places.

     %

Write a program that first gets a list of 5 integers from input. Then, get another value from the input, and output all integers less than or equal to that value.
Ex: If the input is 50 60 140 200 75 100, the output is:
50 60 75
For coding simplicity, follow every output value by a space, including the last one. Then, output a newline.
Such functionality is common on sites like Amazon, where a user can filter results.

in CORAL PLEASE

Suppose the guests at the hotel have an average weight of 180 with a standard deviation of 50 pounds. An elevator is designed to carry only 10 people with a maximum capacity of 2400 pounds.

5. What is the mean of the sample mean?

6. What is the standard deviation for the sample mean of the 10 people? (Use 2 decimals)

7. If 10 guest ride the elevator at one time, what is the probability that the elevator is overweight? (Hint: If the 10 people weigh more than 2400 pounds, how much does each person have to weigh on average? (Use 4 decimals)

8. If 12 guests ride in the elevator at one time, now what is the probability that the elevator is overweight? (Hint: the standard deviation also changes here) (Use 4 decimals)

Solve the following question by using python language

In range of 1-10000 if the numbers are divisible by n1 increase count by 1 , if the number is divisible by n2 increase count by 2, and if the number are divisible by n3 increase the count by 3

if none of the above conditions match for the number, increase count by the number.

n1=10 +17

n2=50 +21

n3=100 +9

KC, a fast-food restaurant, serves fried chicken, fried fish, and French fries. The managers have estimated the costs of a batch of fried chicken for KC's all-you-can-eat Friday Fried Fiesta. Each batch must be 100 pieces. The chicken is precut by the chain headquarters and sent to the stores in 10-piece bags. Each bag costs $3. Preparing a batch of 100 pieces of chicken with KC's special coating takes one employee two hours. The current wage rate is $8 per hour. Another cost driver is the cost of putting fresh oil into the fryers. New oil, costing $5, is used for each batch.

(a) Determine the cost of preparing one batch of 100 pieces.
(b) If management projects that it will sell 300 pieces of fried chicken, determine the total batch and unit costs.

(c) If management estimates the sales to be 250 pieces, determine the total costs.

(d) How much will the batch costs increase if the government raises the minimum wage to $10 per hour?

(e) If management decided to reduce the number of pieces in a batch to 50, determine the cost of preparing 250 pieces. Assume that the batch would take half as long to prepare, and management wants to replace the oil after 50 pieces are cooked.

At the end of the December 31 2016 fiscal year, Yin trucking corporation which follows IFRS 16, negotiated and closed a long term lease contract for newly constructed truck terminals and freight storage facilities. The buildings were erected to the company’s specifications on land owned by the company. On January 1 2017, Yin trucking corporation took possession of the leased properties and made a cash payment of 1,048,00$. Although the useful life of each terminal is 40 years, the non cancellable lease runs for 20 years from January 1 2017 with a purchase option available upon expiration of the lease. The 20 year lease is effective for the period January 1 2017 through December 31 2036. Advance rental payments of 900,000$ are payable to the lessor on January 1 of each first 10 years of the lease term. Advance rental payments of 320,000$ are due on January 1 of each first 10 years of the lease term.The company has an option of purchasing all of these leased facilities for 1 million on December 31 2036 although their fair value at that time is to be estimated at 3 million$. At the end of the 40 years, the terminals and the facilities will have no remaining value. Yin trucking must also make annual payments on January 1 of each year to the lessor of 125,000$ for property taxes and 23,00$ for insurance. The lease was negotiated at 6% rate of return.

Required:

1) assuming a capitalized value of terminal facilities at January 1 2017 of 8.7 million, prepare the journal entries for YIN TRUCKING CORPORATION.

a) The signing of the lease

b) the cash payment to the lessor on January 1 2017

c) Depreciation of the cost of the properties for 2017 using the straight line method

d) The accrual of interest expense at December 31 2017 and any other adjusting journal entries

C++ , Write an iterative routine that will have 2 queues. Loop for 100 times and in the loop roll two die and place the first result into the queue1 and second into queue2. Then dequeue the rolls one at a time from each, printing each pair, and count how many times two rolls either add up to 7 or are doubles (i.e. same value). After the queues are empty, print out the number of 7s and doubles.

Assume srand has already been done.