What is the quadratic regression equation for the data set?
2 answers:
<h2>Answer:</h2>
Option:A is the correct answer.
The quadratic regression equation for the data set is:
A.
We are given a set of data value as:
x y
3 3.45
5 6.9
6 8.79
8 12.91
10 17.48
12 22.49
15 30.85
On plotting these points on a scatter plot we see that the line that best fits these data points is a parabola i.e. the equation is a equation of a quadratic function.
The equation of the line of best fit is:
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Answer:
The distance between the hands is √(3)cm ≈ 1.73cm.
Step-by-step explanation:
In a standard clock, the angle between every number is 30°, therefore the angle between 12 and 2 will be 30° x 2 = 60°.
Looking at the diagram, to find c we can make use of our cosine formula
c² = a² + b² –2abCos(C°)
a = 2, b = 1 and C° = 60°
Therefore we have:
c² = 2² + 1² –2 x 2 x 1 x cos(60°) =
c² = 4 + 1 – 4 x 0.5 =
c² = 5 – 2 =
c² = 3
c = √(3) ≈ 1.73
Therefore, the distance between the hands is √(3)cm ≈ 1.73cm.
so x=5
substituting for x in the equation we get:
Ans C: 16