Answer:
C
Step-by-step explanation:
You will probably find that line C has the best correlation with the data plotted.
In general, the "line of best fit" will minimize the sum of squares of vertical distances between data points and the line. The line with the smallest vertical differences is the line in graph C.
_____
The line in graph D goes through several data points, so the vertical distance from the point to the line is zero for those. However, the remaining points are farther from the line than they are in graph C. The measure of fit is the square of the distance, so the penalty for larger distances is fairly severe.
Answer with Step-by-step explanation:
We are given that
E=Event denote the event that the individual must stop at the first light
F=Event denote the event that the individual must stop at the second light
P(E)=0.4
P(F)=0.2

a.We have to find the probability that the individual must stop at atleast one light.
We know that

Substitute the value in the given formula then, we get


b.

c.We have to find the probability that the individual must stop at exactly one of the two lights.
P(must stop at exactly one of the two lights)=
P(must stop at exactly one of the two lights)=0.3
d.We have to find the probability that the individual must stop just at the first light.
P(must stop juts at the first light)=
P(must stop juts at the first light)=0.4-0.15=0.25
A=π(4)2=π·42≈<em>16pi ft^2</em>
We have to find the critical t value for 99% confidence level and sample size of 18.
Degrees of freedom = n - 1 = 17
α = 1 - 0.99 = 0.01
α/2 = 0.01/2 = 0.005
So, from the t table we have to check the value against the column 0.005 and for 17 degrees of freedom.
This value comes out to be 2.898.
So, <span>tα/2</span> = 2.898