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:
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to show that the designer's claim of a better shoe is supported by the trial results.
Step-by-step explanation:
From the question we are told that
The population mean is
The sample size is n = 25
The sample mean is
The standard deviation is
Let assume the level of significance of this test is
The null hypothesis is
The alternative hypothesis is
Generally the degree of freedom is mathematically represented as
=>
=>
Generally the test statistics is mathematically represented as
=>
=>
Generally from the student t distribution table the probability of obtaining to the right of the curve at a degree of freedom of
is
From the value obtained we see that hence
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to show that the designer's claim of a better shoe is supported by the trial results.