Two variables are correlated with r = -0.23. which description best describes the strength and direction of the association between the variables?

Negative and weak correlation

Step-by-step explanation:

Correlation is another word for association. If there is a positive association between two variables, i.e. whenever x increases y decreases then we will have covariance (x,y) as positive and hence correlation also positive

Correlation denoted by r lies between -1 and 1

If |r| is nearer to 1, we say strong correlation otherwise weak correlation

Two variables x and y are said to have correlation as -0.23

Since 0.23 is nearer to 0 than to 1 we say they are weakly correlated

Since r has a negative sign, we find that the two variables are negatively correlated and also weak.

option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.