Answer:
The correct option is;
C. The pattern is random, indicating a good fit for a linear model
Step-by-step explanation:
A graph that has the residuals (the difference between the value observed and the value expected (regression analysis) on the vertical axis and the variable that is not affected by the other variables (independent variable) on the x or horizontal axis is known as a residual plot
A linear regression model is suited in a situation where the points are dispersed randomly on both sides of the horizontal axis
Therefore, given that the first point is below the horizontal axis and the next point is above the horizontal axis, while the third and the fourth points are below the horizontal axis, the fifth, sixth, and seventh points are above the horizontal axis and the eighth point is below the horizontal axis, the points are random around the horizontal axis, indicating the suitability of a linear regression model.
The cotangent function is defined as the ratio between cosine and sine of a given angle, i.e.

Since you can't have zero at the denominator, the cotangent function is not defined when the sine is zero.
Let's look at your option:
, so the cotangent is defined here
, so the cotangent is not defined here
, so the cotangent is defined here
, so the cotangent is defined here
Answer: Option D :3.85 units.
Step-by-step explanation: Diameter is the longest chord of any circle . It is a straight line passing through the center of the circle and touches the circle at two points. Radius is a line drawn from the center of circle to the circumference. Radius is half of diameter.In the given figure the blue line is diameter .The diameter is the blue line which equals 7.7 units.Radius is half of diameter .Radius = 7.7÷2=3.85 units.
Option D is the right answer.
A- none because they are parallel lines