The regression model that best fit the data set is : Y=10.35-0.0467X
Explanation:
The equation of a regression line is given by;
Y=a+bX where b is the slope of the line a is the y-intercept , Y is the dependent variable and X is the independent variable
The slope b is given by;
b = n(∑xy)-(∑x)(∑y) / n(∑x² )-(∑x)²
a=(∑y)(∑x²)-(∑x)(∑xy) /n(∑x²)-(∑x)²
n is the sample size = 4
Form a table as;
x y xy x² y²
2 13 26 4 169
4 8 32 16 64
5 7.5 37.5 25 56.25
8 12 96 64 144
<u>19 40.5 191.5 109 433.25--------sum</u>
<u></u>
a=(∑y)(∑x²)-(∑x)(∑xy) /n(∑x²)-(∑x)²
a=(40.5)(109) - (19)(191.5) / 4(109) - (19)²
a=(4414.5 - 3638.5) / (436-361)
a=776/75
a=10.35
b = n(∑xy)-(∑x)(∑y) / n(∑x² )-(∑x)²
b=4(191.5)-(19)(40.5) / 4 (109)-19²
b=766-769.5 /436-361
b=-3.5/75
b= - 0.04667
The model will be represented by the equation;
Y=10.35 -0.0466X
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Regression Model: brainly.com/question/10209928
Keyword : regression, model, best fit, data set
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Answer:
The Convention of 1832 was the first political gathering of colonists in Mexican Texas. Delegates sought reforms from the Mexican government and hoped to quell the widespread belief that settlers in Texas wished to secede from Mexico.
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Numerous originalists would reply "yes," on the grounds that legal audit isn't listed as an energy of the Judicial Branch in the Constitution.
Then again, the legal audit was at that point a setup training when the Constitution was composed, and the Framers, a significant number of whom were attorneys with information of court method, didn't expressly disallow it. Article III makes no say of how the Judicial Branch should practice statute. The absence of direction has a tendency to infer the Framers deliberately permitted adaptability and a level of independence in deciding the courts' operation. In the event that they had no aim for the Judicial Branch to go about as a mind the energy of the other two branches, they could have set more unequivocal rules for the legal to take after.
