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:
C) use its power internationally to further its own interests.
Explanation:
Henry Cabot Lodge was a former Republican Senator of the United States of America, statesman, diplomat and historian who hails from Massachusetts. Cabot served in the Senate of the United States of America from from 1893 to 1924 and had his voice strongly on issues bordering on foreign policies.
He was born on the 12th of May, 1850 in Beverly, Massachusetts, United States of America.
In the late 1910s and early 1920s, Henry Cabot Lodge argued that the United States should use its power internationally to further its own interests. Cabot led the congressional opposition against Woodrow Wilson's Treaty of Versailles and successfully ensured the United States of America didn't join or participated in the League of Nations.
That no one country could have a sphere of influence to trade in China- so the U.S. would have equal access to trade.
1.Articles 2.sections 3.clauses
