Which scatter plot has a correlation coefficient closest to r=1

The correct answer is the scatter plot which has a strong positive slope of the curve of best fit.

Step-by-step explanation:

A scatter plot shows a relationship between two variables for a particular individual. It is actually a graph where we draw a curve of best fit which can represent the whole data. A scatter plot having the correlation coefficient closest to r = 1, is said to have a very strong correlation between the variables.

A scatter plot would have a strong correlation if the data points of the individual are very close to the line or curve of best fit.

For r = 1 , the correlation is strong and positive.

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

i believe your answer is a