In each case state whether you expect the two variables x and y indicated to have positive, negative, or zero correlation.

A. the number x of pages in a book and the age y of the author

B. the number x of pages in a book and the age y of the intended reader

C. the weight x of an automobile and the fuel economy y in miles per gallon

D. the weight x of an automobile and the reading y on its odometer

E. the amount x of a sedative a person took an hour ago and the time y it takes him to respond to a stimulus

****YOU MUST SHOW ALL OF YOUR WORK, OR PROVIDE SUBSTANTIAL EXPLANATION TO YOUR ANSWER IN ORDER TO RECEIVE CREDIT****

This year Evan graduated from college and took a job as a deliveryman in the city. Evan was paid a salary of $72,900 and he received $700 in hourly pay for part-time work over the weekends. Evan summarized his expenses as follows: (use 2020)

Calculate Evan's AGI and taxable income if he files single. Assume that interest payments were initially required on Evan’s student loans this year.

Evan's AGI__________

Taxable income_________

In 1986, a nuclear power accident in Chernobyl, USSR (now Ukraine), led to high radiation levels for miles surrounding the plant. The high levels of radiation caused elevated mutation rates in surviving organisms, and evolutionary biologists have been studying rodent populations in the Chernobyl area ever since. Based on your understanding of evolutionary mechanisms, which of the following most likely occured in the rodent populations following the accident?

a.) Mutations caused major changes in rodent physiology over time.

b.) Mutation caused genetic drift and decreased fitness.

c.) Mutation caused the fixation of new alleles.

d.) Mutation led to increased genetic variation.

I am stuck in Austin with a flat tire, and I need to get to my class in Houston within 2 hours. The drive is 180 miles long, but I want to be careful of the Austin cops. I do not usually get caught speeding unless I am seen accelerating too fast, so I do not want to accelerate at a rate of more than 120 mi?/?h². Just to be careful, I?m going to take exactly 2 hours to make the trip. Assuming I accelerate at 120 mi?/?h² for a while, and travel at a constant speed afterwards, what’s the fastest speed I?ll be going during my trip?

Can you please show me the formulas you used in these problems? I keep using the wrong ones.

In his last ride in a rocket sled in 1955, Col. Stapp was accelerated to 632 miles per hour in 5.0 s, and then brought to a stop with an acceleration of 46.2 g, the largest acceleration voluntarily endured by a human.

a. How far did the sled move in the first phase, as it accelerated to maximum speed?

b. How far did the sled move as it came to a stop?

c. What was the force exerted on Col. Stapp by his crash harness?

Assume he had a mass of 70 kg. (You may assume this is the only significant force!)

Crash testing is a highly expensive procedure to evaluate the ability of an automobile to withstand a serious accident. A simple random sample of 12 small cars were subjected to a head-on collision at 40 miles per hour. Of them 8 were “totaled,” meaning that the cost of repairs is greater than the value of the car. Another sample of 16 large cars were subjected to the same test, and 5 of them were totaled. Let p_X represent the population proportion of small cars that are totaled and let p_Y represent the population proportion of large cars that are totaled. Find a 95% confidence interval for the difference p_X – p_Y . Round the answers to four decimal places.

Write a Fortran program that is able to read in the data file.

The file has lines with the structure: 19990122 88888 30.5

Where:

i) the first is an 8 digit code with the date: yyyymmdd (yyyy is the year, mm is the month, and dd is the day)

ii) the second is the five digit odometer reading of a car

iii) the third is the amount of fuel put into the car on that date to fill the tank up to full

The program must be able to determine the average miles per gallon consumed and the sigma of this distribution

(NOTE: I know that I can't attach the file itself, so there is no way for you to properly debug the code.That's fine. I just need help with the structure and setup)

2 large retail companies (W and T) are compared on a Census variable, percent of people who own their home within 3 square miles of the store. The percent that own their home for W is:

84, 79, 73, 81, 74, 77, 64, 78, 78, 78, 61

Percent for T is:

58, 61, 57, 62, 61, 59, 56, 64, 61, 70.

- Estimate the difference in percent owning their home for the two companies as to central tendency using lambda=.05. In estimating the difference, use 1 parametric approach, 1 robust(trimming) or nonparametric approach, and the best bootstrapping approach(not jackknife). Make a case for which approach is best.