Question

Consider the following bivariate data.

Point	A	B	C	D	E	F	G	H	I	J
x	9	8	9	3	7	3	3	4	6	5
y	6	2	2	3	6	3	3	2	4	6

(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.)

sx	=
sy	=

(d) Calculate r using Constructing a confidence interval for the population correlation coefficient(Give your answer correct to two decimal places.)

(e) Calculate r using Two Tailed Hypothesis (Give your answer correct to two decimal places.)

Answer 1

b) The Covariance

c)  

d) The Correlation coefficient is

e) Hypothesis Testing

Null Hypothesis

Alternative Hypothesis

Degrees of freedom = n-2= 8

Significance level = 0.05

The critical value of r is 0.63

Hence there is not significant linear relationship between X and Y because calculated value of r is less than critical value.