The equation for the line of best fit for a data set is y = 2x + 1.5. If the point (1, 4) is in the data set, what is the residu
2 answers:
Answer:
The residual of 1 is 0.5.
Step-by-step explanation:
The given function is
Substitute x=1 in the given equation of line, to find the expected or estimated value of the function at x=1.
The point (1, 4) is in the data set. It means the actual value of the function is 4 at x=1.
The formula to calculate the residual is
Residual = Observed value - Estimated value
The residual of 1 is
Therefore the residual of 1 is 0.5.
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Given:
The height of the cylinder = 12 in
The diameter of the base of the cylinder = 8 in.
To find:
The volume of the cylinder.
Solution:
The diameter of the base of the cylinder is 8 in. The radius is half of its diameter. So,
So, the radius of the base of the cylinder is 4 in.
The height of the cylinder, h = 12 in.
Base area of the cylinder is:
Where, B is the base area and r is the radius.
So, the base area is square inches.
The volume of the cylinder is:
Where, r is radius, h is height, B is base area.
Putting and
, we get
So, the volume is cubic inches.
Therefore, .