The flow rate y (m3/min) in a device used for air-qualitymeasurement depends on the pressure drop x (in. ofwater) across the devices filter. Suppose that for x valuesbetween 5and 20, the two variables are related accordingto the simple linear regression model with true regressionline y 5 2.12 1 .095x.a. What is the expected change in flow rate associatedwith a 1-in. increase in pressure drop? Explain.b. What change in flow rate can be expected when pressuredrop decreases by 5 in.?c. What is the expected flow rate for a pressure drop of10in.? A drop of 15 in.?d. Suppose s 5 .025 and consider a pressure drop of10in. What is the probability that the observed valueof flow rate will exceed .835? That observed flow ratewill exceed .840?e. What is the probability that an observation on flowrate when pressure drop is 10 in. will exceed anobservation on flow rate made when pressure drop is11 in.?
Lecture 10/04/2017 → Section 3.4 ← Factorial Factorials count the number of ways of order “n” objects without repetition, and is defined as, n! = n • (n - 1) • (n - 2) • … • 3 • 2 • 1 o 0! = 1 o Example: How many ways can someone rearrange 4 books on a shelf 4! = 4 • 3 • 2 • 1 = 24 ways o n! In terms of (n - 1)! n! = n • (n -1)! o In terms of (n - 2)! n! = n • (n - 1) • (n -2)! Permutations A ‘permutation’ is one of the different arrangements of a group of items where order matters. i.e., This gives the number of ways to arrange in order ‘n’ distinct objects taken ‘r’ at a time without repe
