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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1- On June 8, 1789, Representative James Madison introduced a series of thirty-nine amendments to the constitution of the House of Representatives. Among its recommendations Madison proposed the opening of the Constitution and the insertion of specific rights to limit the power of Congress in Article One, Section 9. Seven of these limitations would become part of the ten articles ratified the Bill of Rights of the amendments. Ultimately, on September 25, 1789, Congress approved twelve articles of amendment to the Constitution and presented them to the states for ratification. Contrary to the original proposal of Madison that the articles that can be incorporated into the main body of the Constitution, were proposed as additions "complementary" to it. Articles from three to twelve were ratified by the states.
2- On December 15, 1791, articles from three to twelve, after being ratified by the required number of states, became the one to ten amendments of the Constitution.
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The best answer is C. He is generally credited for purchasing the island for the Dutch, who later used the land to build the city of New Amsterdam.
There plan was to take over all Europe
