Which is the best estimate for the value of r in the scatter plot? a. -1 b. -0.9 c. 0.2 d. 1

The best estimate for the value of r in the scatter plot is B. -0.9.

The correlation coefficient (denoted by r ) measures the strength of a linear relationship between two variables.

A scatter plot used to show the relation ship between variables.

If the points on the scatter plot appears to form a line that slants down from left to right, then there is a negative relationship.

So value of r must be negative.

Also we can draw a line that fits through the data, so it indicates strong relationship.

The r value for strong negative correlation must be lower than -0.7 .

Also its not perfect correlation so r cannot be -1.

So the only option is r= -0.9.

Thus, The best estimate for the value of r in the scatter plot is B. -0.9.

Learn more about correlation:

link

I would say choice B is the best answer. The points all are very close to a single straight line that has negative slope, so the correlation coefficient r is going to be fairly close to -1. It won't be perfectly at r = -1 because all points need to be on the same straight line for that to happen. Side Note: without actual numbers for the coordinates, it's impossible to calculate the true value for r.

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is

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