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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Answer:
A. making public education equal for all students
Explanation:
In the Brown v. Board of Education case, the Brown family wanted to enroll their daughter in a public school close to their home, but the local board of education refused and told the family that they had to enroll their daughter in a segregated black school. The family then sued the board of education and stated that their segregation policy was unlawful. The court ruled in the family's favor and agreed that racial segregation in school is unconstitutional. So, public education was made equal for all students regardless of their race.
Answer:
In 1949, the prospect of further Communist expansion prompted the United States and 11 other Western nations to form the North Atlantic Treaty Organization (NATO). The Soviet Union and its affiliated Communist nations in Eastern Europe founded a rival alliance, the Warsaw Pact, in 1955. The alignment of nearly every European nation into one of the two opposing camps formalized the political division of the European continent that had taken place since World War II. This alignment provided the framework for the military standoff that continued throughout the Cold War.
Answer:
It helped them to interact easily through activities such as trade and land buying and selling. This fact led to inter region marriages , suportin ech other i n time of need and foration of basic political bonds thus a change in there sociallives
