Question:

The personnel dept. of a certain industrial firm used 7 subjects

in a study to determine the relationship between job performance rating(y)

and scores of four tests. The data are as follows:

1 2 3 4 5

Y X1 X2 X3 X4

11.2 56.5 71 38.5 43

14.5 59.5 72.5 38.2 44.8

17.2 69.2 76 42.5 49

17.8 74.5 79.5 43.4 46.2

19.3 81.2 84 47.5 60.2

24.5 88 86.2 47.4 62

21.2 78.2 80.5 44.5 58.1

Evaluate each of the ff. items in 2 decimal places : All required values to compute each unknown are rounded in 3 decimal places.

The partial correlation r

15.34

The multiple correlation R

1.45

R1.45

The multiple correlation R

1.345

R1.345

A sample of size n is taken from a population with an unknown distribution, with mean // and standard deviation O. Which of the following statements about the sample mean distribution is true? Select one: a. Using the Central Limit Theorem, Xexactly followsX- Nu, n b. without Using the Central Limit Theorem, X approximately followsX - N H,- n O C. Using the Central Limit Theorem, X approximately followsX - Nu.- n O d. without Using the Central Limit Theorem, 02 Xexactly followsX - Nu,-Which of the following statements are TRUE regarding Central Limit Theorem? The range of values for the sampling distribution of means is larger than the range of values in the population. The central limit theorem only applies when the population distribution is normal. O The central limit theorem gives the exact probability of estimating the true population mean. The central limit theorem requires that all samples are randomly selected from a single population.ooooo T-Mobile LTE 10:40 AM eusercontent.com 3 ... Math 3073 HW #2, spring 2016 Due on Monday 02/22/2016 NAME 1 0 1. Let = -1 0 3 5 . Find a non-singular matrix P such that Pl is a RREF of 211 1 Suppose dis a non-singular matrix. Show that if 48 =0, then #=06. A 3-state Markov chain has the following transition matrix: 0.6 0.3 0.17 P = 0.2 0.7 0.1 0.5 0 0.5 Using Xo = (0.6, 0.0, 0.4), find X1 and X2. 0.4 0.6 07 7. A 3-state Markov chain has transition matrix P = 0 0.6 0.4 0.6 0.2 0.2 Find the steady state vector for this Markov chain