An endocrinologist was interested in exploring the relationship between the level of a steroid (y) and age (x) in healthy subjects whose ages ranged from 8 to 25 years. she collected a sample of 27 healthy subject in this age range. the data is located in the file problem01.txt, where the first column represents x = age and the second column represents y = steroid level. for all r programming, print input and output codes and values, data to be used is below.

(create a quadratic regression in r. write down the fitted equation, multiple r2, and the p-value for β1 from the summary()output.

yi =β0 + β1xi + β2xi2 + εi

Aportion of a hiking trail slopes downward at about an 84° angle. to the nearest tenth of a flot, what is the value of x, the distance the hiker traveled along the path, if he has traveled a horizontal distance of 120 feet? a. 143.3 b. 12.5 c. 120.7 d. 130.2

The human resources manager at a company records the length, in hours, of one shift at work, x. he creates the probability distribution below. what is the probability that a worker chosen at random works at least 8 hours? probability distribution px(x) 6 hours 7 hours 8 hours 9 hours 10 hours 0.62 0.78 пол

In one day there are too high tides into low tides and equally spaced intervals the high tide is observed to be 6 feet above the average sea level after six hours passed a low tide occurs at 6 feet below the average sea level in this task you will model this occurrence using a trigonometric function by using x as a measurement of time assume the first high tide occurs at x=0. a. what are the independent and dependent variables? b. determine these key features of the function that models the tide: 1.amplitude 2.period 3.frequency 4.midline 5.vertical shift 6.phase shift c. create a trigonometric function that models the ocean tide for a period of 12 hours. d. what is the height of the tide after 93 hours?