Consider the following set of data.
(24, 11), (33, 45), (57, 26), (79, 18), (107, 58),...
Consider the following set of data.
(24, 11), (33, 45), (57, 26), (79, 18), (107, 58), (116,
6)
(a) Calculate the covariance of the set of data. (Give your answer
correct to two decimal places.)
(b) Calculate the standard deviation of the six x-values
and the standard deviation of the six y-values. (Give your
answers correct to three decimal places.)
sx
=
sy
=
(c) Calculate r, the coefficient of linear correlation,
for the data in part (a). (Give your...
Let S = {A, B, C, D, E, F, G, H, I, J} be the set...
Let S = {A, B, C, D, E, F, G, H, I, J} be the set consisting of
the following elements:
A = N, B = 2N , C = 2P(N) , D = [0, 1), E = ∅, F = Z × Z, G = {x
∈ N|x 2 + x < 2}, H = { 2 n 3 k |n, k ∈ N}, I = R \ Q, J =
R.
Consider the relation ∼ on S given...
(6) A small population {a,b,c,d,e,f,g,h,i} consists of three
strata, namely {a,b,c}, {d,e,f} and {g,h,i}. Provide a...
(6) A small population {a,b,c,d,e,f,g,h,i} consists of three
strata, namely {a,b,c}, {d,e,f} and {g,h,i}. Provide a method that
will draw a stratified random sample of size 3.
The following ``answers'' have been proposed.
(a) Take your sample to be a,d,g, i.e., the first element of each
stratum.
(b) Take a three sided fair die (such as a standard die with two
faces labeled one, another two faces labeled two, and the last two
faces labeled three). Roll this die and...
You are given the following bivariate data about hours spent
studying versus test grade in percent....
You are given the following bivariate data about hours spent
studying versus test grade in percent. Below is the data collected
from 5 different students.
Studytime(hr) | test Grade(%)
2.0 72.4
2.5 77.0
3.5 86.0
4.0 94.8
5.5 97.1
Let x be the hour spent studying and y be the test grade in
percent. Using the data above, we have the following:
n = 5, x ̄ = 3.5, y ̄ = 85.46,
sx = 1.369306, sy = 10.78369, r...
Given that, for some a, b, c, d, e, f, g, h, i ∈ R, [a...
Given that, for some a, b, c, d, e, f, g, h, i ∈ R, [a b c d e f
g h i ] = 5, evaluate the following determinants:
(c) [ka ld mg
kb le mh
kc lf mi] Here, k, l, and m are non-negative constants.
The accompanying data show the number of hours, x,
studied for and the grade received, y...
The accompanying data show the number of hours, x,
studied for and the grade received, y (y is
measured in tens; that is, y = 8 means that the grade,
rounded to the nearest 10 points, is 80).
x
2
3
3
4
4
5
5
6
6
6
7
7
7
7
8
y
5
5
6
5
7
7
8
6
9
8
7
9
10
8
9
(a) Use the given scatter diagram to estimate r for...
For the following data (a) display the data in a scatter plot,
(b) calculate the correlation...
For the following data (a) display the data in a scatter plot,
(b) calculate the correlation coefficient r, and (c) make a
conclusion about the type of correlation.
The ages (in years) of
six
children and the number of words in their vocabulary
Choose the correct scatter plot
(b) The correlation coefficient r is
____
(Round to three decimal places as needed.)
(c) Which of the following best describes the type of
correlation that exists between age and vocabulary size?...