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
Solidarity was the only free trade agreement in Communism so it gave the people more freedom then usual because of it
On October 1, 1946, International Military Tribunal put 22 Nazi leaders on trial for war crimes. 11 were put to death, 3 were given lifetime imprisonment, 3 were aquitted and 4 were given sentences ranging from 10 to 20 years
The similarities of foreign born population came us are poor people's also there and some poshe people are there
