If the correlation between two variables is close to 0, you can conclude that a scatterplot would show

(a) a strong straight-line pattern.

(b) a cloud of points with no visible pattern.

(c) no straight-line pattern, but there might be a strong pattern of another form.

Using correlation coefficients, it is found that the correct option is:

(b) a cloud of points with no visible pattern.

The correlation coefficient between the values is close to 0, which means that there is no pattern of any form, hence, the scatterplot would show a cloud of points, and the correct option is:

(b) a cloud of points with no visible pattern.

A similar problem is given at link

The correct option is (c).

Step-by-step explanation:

Correlation coefficient is a measure of the strength of the linear relationship between two variables.

It ranges from -1.0 to 1.0.

If the correlation between two variables is close to 0, we can conclude that a scatter plot would show no straight-line pattern, but there might be a strong pattern of another form.

Thus, the correct option is (c).

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1