What is the significance of a correlation coefficient of 0.16? a the points all lie very close to the line of fit and the line is increasing. b the points do not follow the line of fit and the line is decreasing. c the points do not follow the line of fit and the line is increasing. d the points all lie very close to the line of fit and the line is decreasing.

C The points do not follow the line of fit and the line is increasing.

Step-by-step explanation:

Correlation coefficient generally helps to determine the kind of relationship between the variables , whether correlation is weak or strong , correlation is positive or negative etc.

The given correlation coefficient=  0.16

When the value of correlation coefficient is positive it means it indicates that there is a positive correlation between the variable , i.e the line is increasing.

Also, when correlation coefficient lies between 0 to 0.3, then it indicates that there is weak association, i.e. points do not follow the line of fit.

Therefore , the significance of a correlation coefficient of 0.16 is "the points do not follow the line of fit and the line is increasing".

Hence, the correct option is C. The points do not follow the line of fit and the line is increasing.

it is c, trust i got your back lol

step-by-step explanation:

answer: ratio of volume of cone (with 3 times the height and equal diameter) to volume of cylinder is 2 to 1. the value of π is not used.

step-by-step explanation:

radius is diameter/2 = 4.

area of circle is π r^2.

volume of cylinder is height × area of base = hπr^2 = 3(4^2) π = 48π cubic inches.

not knowing the formula for volume of cone, i calculate it using calculus (which is for calculating things).

volume of cone is integral 0 to h area(y) dy. area(y) is π r(y)^2. r(y) runs r to zero as y runs zero to h, r(0) = r, r(h) = 0.

r(y) = r - r/h y

area(y) = π (r - r/h y)^2 = π (r^2 - 2r^2y/h + r^2y^2/h^2) = π r^2(1-2y/h+y^2/h^2)

antiderivative area(y) = π r^2 (y-y^2/h+y^3/(3h^2))

integral 0 to h = π r^2(h-h^2/h+h^3/(3h^2) - (0)) = π r^2(h - h + h/3) = π r^2(h/3) = π/3 r^2 h

volume of this cone is π/3(4^2)18 cubic inches.

= 6 16 π = 96π cubic inches.

cone has twice the volume, 96/48.

cone height is 6 times the cylinder.

ratio of volume formula: π r^2 cancels.

cone over cylinder ratio is 6h/3 to h, 2 to 1.