Construct a scatter diagram of the given bivariate data. (Do this on paper. Your instructor may ask you to turn in this work.) _____ (b) Calculate the covariance. (Give your answer correct to two decimal places.) ______ (c) Calculate sx and sy.

Construct a scatter diagram of the given bivariate data. (Do this on paper. Your instructor may ask you to turn in this work.) _ (b) Calculate the covariance. (Give your answer correct to two decimal places.) __ (c) Calculate sx and sy.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.1: Measures Of Center

Problem 9PPS

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Question

Consider the following bivariate data.

Point	A	B	C	D	E	F	G	H	I	J
x	0	1	1	2	3	4	5	6	6	7
y	7	5	6	3	4	1	4	0	1	1

(a) Construct a scatter diagram of the given bivariate data. (Do this on paper. Your instructor may ask you to turn in this work.)
_____
(b) Calculate the covariance. (Give your answer correct to two decimal places.)
______

(c) Calculate s_x and s_y. (Give your answers correct to three decimal places.)

s_x	= ____
s_y	= _____

(d) Calculate r using formula 13.2. (Give your answer correct to two decimal places.)
_____

(e) Calculate r using formula 13.3. (Give your answer correct to two decimal places.)
______

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.

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