The events x and y have a correlation coefficient of r= 0.02. what is the relationship between x and y? a) the events have a strong negative linear correlation. b) the events have a strong positive linear correlation. c) the events have a weak negative linear correlation. d) there is little or no linear correlation.

Step-by-step explanation:

if r=1 perfect positive correlation.

if r=-1 ,perfect negative correlation.

r=0 ,no correlation.

r=.02 ,so D

Step-by-step explanation:

To answer this question we just have to know that linear correlations are from -1 to 1, being 0 in the middle.

So, if the linear correlation is near to 1, it's a positive strong correlation. If it's near -1, it's a negative strong correlation. And if the linear correlation coefficient is near to zero, then the correlation is almost null, there's no correlation if it's zero,

Therefore, the correct answer is D, there is little correlation because the coefficient is 0.02, really close to zero.

6 on both sides and twelve on the top and the bottom

step-by-step explanation:

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation: