The yield is given by the regression equation
y = 859 + 5.76x₁ + 3.82x₂
where
x₁ = number of acres planted
x₂ = number of acres harvested
The goodness of fit is r² = 0.94.
This appears to a very good fit to the data because it is almost equal to 1.
To assess the goodness of fit in a statistical sense, it may also necessary to perform an F-test in a hypothesis test. This is not possible without having raw measured data.
For this problem, r²=0.94 may be considered to be a very good fit to the measured data.
Part a.
When x₁ = 3200 acres and x₂ = 3000 acres, obtain
y = 859 + 5.76*3200 + 3.82*3000
= 30,751 pounds
Part b.
Without performing a hypothesis test or a residual plot, we can conclude that the predicted value is in very good agreement with the actual value.
Because we do not have raw measured data, we can neither plot the residuals nor perform a hypothesis test.
In general,
When r² = 1, the agreement is exact.
When r² = 0, there is absolutely no agreement.
A value of r² > 0.9 is considered good.
Answer:
a = 14, b = 2
Step-by-step explanation:
the initial amount was 14
the growth factor is 2
Answer:
- True, True, False, False, True
Step-by-step explanation:
Trapezoid ABCD was dilated to create trapezoid A'B'C'D'.
Scale factor is 1/2 according to the coordinates.
<h3>The answer options</h3>
<u>The length of side AD is 8 units.</u>
<u>The length of side A'D' is 4 units.</u>
<u>The image is larger than the pre-image.</u>
- False. It is 2 times smaller.
<u>Sides CD and C'D' both have the same slope, 2.</u>
Slopes of CD and C'D' are same: m = (0 - 4)/(4 - 2) = -4/2 = -2
<u>The scale factor is One-half.</u>
There are 28 days in February. Divide 28 by 4 and the answer is 7 days
Answer:
8 (7.94)
Step-by-step explanation:
You can think of it as a geometry problem.
What is formed here is a triangle, which sides ate: the line, the line's shadow, and the height from the ground to the kite (here I attach a drawing).
What you need to find is the height. We will call it H.
As the triangle formed is a right one, we can use Pitágoras' theorem. The height H squared plus the squared of the shadow is equal to the squared of the line (the hypotenuse). This is:
H^2 + 9^2 = 12^2
H^2 + 81= 144
H^2 = 63
Applying squared root in both sides
H = √63
H = 7,94
So, the height is approximately 8.
