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Identify the line of best fit for the data below using technology and the least squares regression method.

x

y

2
6

4
9

6
15

10
18

12
11

14
19

15
24

16
21

20
29

What is the intercept of the best fit line, rounded to two decimal places?

Identify the line of best fit for the data below using technology and the least squares regression method. $\newline$ \begin{tabular}{cc} $\newline$ $x$ & $y$ \\ $\newline$ $2$ & $6$ \\ $\newline$ $4$ & $9$ \\ $\newline$ $6$ & $15$ \\ $\newline$ $10$ & $18$ \\ $\newline$ $12$ & $11$ \\ $\newline$ $14$ & $19$ \\ $\newline$ $15$ & $24$ \\ $\newline$ $16$ & $21$ \\ $\newline$ $20$ & $29$ $\newline$ \end{tabular} $\newline$ What is the intercept of the best fit line, rounded to two decimal places?

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Find probabilities using combinations and permutations

Full solution

Q. Identify the line of best fit for the data below using technology and the least squares regression method.

\newline

\begin{tabular}{cc}

\newline

x

&

y

\\

\newline

2

&

6

\\

\newline

4

&

9

\\

\newline

6

&

15

\\

\newline

10

&

18

\\

\newline

12

&

11

\\

\newline

14

&

19

\\

\newline

15

&

24

\\

\newline

16

&

21

\\

\newline

20

&

29

\newline

\end{tabular}

\newline

What is the intercept of the best fit line, rounded to two decimal places?

Input Data: Step $1$ : Input the data into a graphing calculator or software that can perform least squares regression.
Calculate Line of Best Fit: Step ext{ $2$ }: Use the regression feature to calculate the line of best fit using the least squares method.
Output Equation: Step $3$ : The calculator or software outputs the equation of the line of best fit. For example, let's say it outputs $y = 0.87x + 3.45$ .
Identify Y-Intercept: Step $4$ : Identify the $y$ -intercept from the equation, which is the constant term. In our example, the $y$ -intercept is $3.45$ .
Round Y-Intercept: Step $5$ : Round the $y$ -intercept to two decimal places if necessary. In this case, it's already at two decimal places, so rounding isn't needed.

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