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
Learn More
Regression Model: brainly.com/question/10209928
Keyword : regression, model, best fit, data set
#LearnwithBrainly
???? Do u even want an answer or nah
After the firing on Fort Sumter, which states seceded from the Union and joined the Confederate States of America?
<u>A. Tennessee, Alabama, Georgia, and Virginia
</u>
B. Tennessee, Kentucky, Virginia, and Arkansas
C. Kentucky, Virginia, North Carolina, and Texas
D. Arkansas, Tennessee, North Carolina, and Virginia
In order to determine the answer for this, we much look at the 4 factors of production: land, labor, capital, and entrepreneurship. When it comes to industrialization, those nations that had these four capitals could easily follow suit. These were mostly those countries that were following the capitalist path. Taking America for example, the North was heavily industrialized due to it having plenty land for industries, labor readily available, capital in terms of investments, and people willing to start industries and businesses. Being a capitalist country, the government encouraged new businesses.
D.provide revenue for the government