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: Paul's Father understands the societal limitations on his career choices.
Explanation:
The answer to this question would be choice B. Declaration of Sentiments
At the time the Declaration of Sentiments was proclaimed (which was during the Seneca Falls Convection of 1848) many women were seen inferior to men. (in other words, they weren't believed to be equal to men). Moreover, in an attempt to prove this notion wrong, leaders Elizabeth Cady Stanton and Lucretia Mott decided to arrange the Seneca Falls Convection.
To add on, the Declaration of Sentiments (as you could probably infer from the question), basically stated the following "We hold these truths to be self-evident: that all men AND WOMEN are created equal...", thus it greatly resembled the Declaration of Independence. Furthermore, this notable document was a significant step toward women enfranchisement and equality as the work of those who advocated women's suffrage would have their work paid off in 1920 (the year in which the 19th amendment was ratified, which granted women the right to vote).
Answer:
D.
Explanation:
Renaissance art was all about light and shadow and 3 dimensional art- in fact renaissance artists loved to create the appearance of three-dimensional space.
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