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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The two statements that showed why the approval ratings of Donald Trump fell are:
- Americans believed he was slow to respond to the threat of the coronavirus.
- He lost conservative support by holding in-person rallies during a pandemic.
<h3>Who was Donald Trump?</h3>
He was a president of the United States. As a president he is one of the presidents to have been impeached in the country.
The way that he handled in the corona virus pandemic was one of the reasons that caused people to lose faith in his governance.
Read more on Donald Trump here: brainly.com/question/2114535
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Explanation:
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