Question

Find the equation of the line of best fit from the data in the table. Round the slope and the y-intercept to the nearest hundredth.
x 12,14,16,18,20 y54,53,55,54,56

Answer 1

A line contains at least two points.

2
A plane contains at least three noncollinear points.


Which option best classifies Saul’s statements?

Statement 1 is a theorem because it can be proved and Statement 2 is a postulate because it is a true fact.

Statement 1 and Statement 2 are theorems because they can be proved.

Statement 1 and Statement 2 are postulates because they are true facts.

Statement 1 is a postulate because it is a true fact and Statement 2 is a theorem because it can be proved.



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Answer 2

Let
\[
y = m x + b\\

m = \frac { 5 \sum_{i=1}^5 x_i y_i- \left( \sum_{i=1}^5 x_i \right)
\left( \sum_{i=1}^5 y_i \right) }
{5 \left( \sum_{i=1}^5 x_i^2 \right)- \left( \sum_{i=1}^5 x_i \right)^2}=1.15\\

b= \frac {\left( \sum_{i=1}^5 y_i \right)- m \left( \sum_{i=1}^5 x_i \right) }
{ 5 }=37.8\\

y= 1.15 x + 37.8
\]