Answered: Consider the variables ? and ?. The…

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section11.4: Collecting Data

Problem 3E

See similar textbooks

Related questions

Question

100%

Consider the variables ? and ?. The realization of a sample of size 20 is given below (where ? is
the first variable and ? is the second):

(−1.202, 563.024), (2.112, 291.072), (2.827, −893.619), (−0.314, 1321.814),
(−1.477, −91.573), (−6.516, 446.336), (−0.920, −111.487), (3.477, −153.165),
(−7.273, 1076.221), (2.251, 477.931), (−0.713, 909.696), (−0.853, 226.865),
(−3.176, 389.413), (1.913, −47.169), (−1.070, −178.695), (−3.385, 744.486),
(−9.506, 362.670), (−7.004, 364.578), (0.504, 324.975), (2.861, −360.571)

Sketch an appropriate plot that displays the values of these points. Calculate the sample
covariance as well as the sample’s expectations and variances of ? and ?.

Definition Definition Measure of how two random variables change together. Covariance indicates the joint variability or the directional relationship between two variables. When two variables change in the same direction (i.e., if they either increase or decrease together), they have a positive covariance. When the change is in opposite directions (i.e., if one increases and the other decreases), the two variables have a a negative covariance.

Expert Solution