Answer:
From the given output, the regression equation for the line is
ycap = 46.92 - 0.20x
Option D
We need the rest of the question
Recall the dot-product is just <a,b> • <c,d> => a*c + b*d.
therefore here is just 5*(-8) + 7* 2, or namely -26.
In this problem, you are asked to compute for the volume of
the spherical paintball. The formula in computing the volume of the sphere is:
V = 4/3 (pi) r^2
Where r = the radius of the sphere
Since the given measurement is in diameter, you need to
compute the radius of the sphere. The radius of the sphere is half its
diameter. Therefore, the radius of the sphere is 0.75 cm (1.5 cm / 2).
Substituting the radius to the formula and using 3.14 as the
value of pi:
V = 4/3(3.14)(0.75)^2
V = 2.355 cm^3 or 2.36 cubic centimeters (note that cubic
centimeter is equal to mL)
Therefore, there are approximately 2.36 mL of paint in the paintball.
First find the slope of the given line like this:

If two lines are parallel, then they have the same slope, so the equation we are looking for is in the form:

and we have to find b using the given point like this:
Substitute x = -2 and y=4 in the above equation like this and solve for a:
The equation of the line is then the following: