Which of the following quadratic regression equations best fits the data shown below
2 answers:
Let
A (-4,35)
B (-3,20)
C (-2,10)
D (-1,5)
E (0,8)
F (1,10)
G (2,15)
H (3,30)
I (4,48)
using a graph tool
case a) y=2.23x²+1.62x+5.26
see the attached figure N 1
case b) y=4.63x²+0.84x+4.14
see the attached figure N 2
case c) y=0.98x²+3.06x+6.02
see the attached figure N 3
case d) y=3.72x²+2.94x+3.21
see the attached figure N 4
using a <span>Quadratic Regression Calculator
</span>the <span>Best Fit Second-Degree Quadratic Regression is
2.228x</span>²+1.617x+5.255
see the attached figure N 5
therefore
the answer is
case a) y=2.23x²+1.62x+5.26
A (-4,35)
B (-3,20)
C (-2,10)
D (-1,5)
E (0,8)
F (1,10)
G (2,15)
H (3,30)
I (4,48)
using a graph tool
case a) y=2.23x²+1.62x+5.26
see the attached figure N 1
case b) y=4.63x²+0.84x+4.14
see the attached figure N 2
case c) y=0.98x²+3.06x+6.02
see the attached figure N 3
case d) y=3.72x²+2.94x+3.21
see the attached figure N 4
using a <span>Quadratic Regression Calculator
</span>the <span>Best Fit Second-Degree Quadratic Regression is
2.228x</span>²+1.617x+5.255
see the attached figure N 5
therefore
the answer is
case a) y=2.23x²+1.62x+5.26
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Answer:
- ∠R = 56°
- ∠Q = 90°
- ∠S = 34°
Step-by-step explanation:
The given triangle is a right angled triangle.
So, the angles in the triangle are :
- 90°
- (2x + 38)°
- (5x - 11)°
Solving according to <u>angle sum property</u>,
Sum of all angles in a triangle is 180°
90° + (2x + 38)° + (5x - 11)° = 180°
117° + 7x = 180°
7x = 180° - 117°
7x = 63°
x = 9
Angles =
2(9) + 38
56°
5(9) - 11
34°
- ∠R = 56°
- ∠Q = 90°
- ∠S = 34°
The angles are 56°, 90° and 34°.