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Algebra 1- Unit 3: Two Variable Statistics EXIT TICKET Estimate Line of Best Fit
Name paron sams
Date:

qquad

qquad
Pd

qquad

qquad

qquad

qquad
Use a ruler to draw an approximate line of best fit thorough the points.
Slope:
Y-intercept:
Equation:
Positive or Negative Correlation?
Strong or Weak?

Algebra $1$ - Unit $3$ : Two Variable Statistics EXIT TICKET Estimate Line of Best Fit $\newline$ Name paron sams $\newline$ Date: $\newline$ $\qquad$ $\newline$ $\qquad$ $\newline$ Pd $\newline$ $\qquad$ $\newline$ $\qquad$ $\newline$ $\qquad$ $\newline$ $\qquad$ $\newline$ Use a ruler to draw an approximate line of best fit thorough the points. $\newline$ Slope: $\newline$ Y-intercept: $\newline$ Equation: $\newline$ Positive or Negative Correlation? $\newline$ Strong or Weak?

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Identify independent and dependent variables

Full solution

Q. Algebra

1

- Unit

3

: Two Variable Statistics EXIT TICKET Estimate Line of Best Fit

\newline

Name paron sams

\newline

Date:

\newline

\qquad

\newline

\qquad

\newline

Pd

\newline

\qquad

\newline

\qquad

\newline

\qquad

\newline

\qquad

\newline

Use a ruler to draw an approximate line of best fit thorough the points.

\newline

Slope:

\newline

Y-intercept:

\newline

Equation:

\newline

Positive or Negative Correlation?

\newline

Strong or Weak?

Identify Trend for Line: Identify the general trend of the points on the graph to determine where to place the line of best fit. Use a ruler to draw a straight line that has roughly equal numbers of points above and below it, and passes through as many points as possible.
Calculate Slope: Calculate the slope of the line. Pick two points on the line (let's say $(x_1, y_1)$ and $(x_2, y_2)$ ). Use the formula $\frac{y_2 - y_1}{x_2 - x_1}$ to find the slope. Suppose the points are $(2, 3)$ and $(5, 11)$ . Slope = $\frac{11 - 3}{5 - 2} = \frac{8}{3}$ .
Determine Y-Intercept: Determine the y-intercept of the line. Extend the line to where it crosses the y-axis. Let's say it crosses at $y = 1$ .
Write Equation: Write the equation of the line using the slope-intercept form $y = mx + b$ , where $m$ is the slope and $b$ is the y-intercept. From the previous steps, $m = \frac{8}{3}$ and $b = 1$ , so the equation is $y = \left(\frac{8}{3}\right)x + 1$ .
Analyze Slope: Analyze the slope to determine the correlation type. Since the slope is positive ( $\frac{8}{3} > 0$ ), the correlation is positive.
Assess Correlation Strength: Assess the strength of the correlation by observing how close the points are to the line. If most points are near the line, it's a strong correlation; if they're spread out, it's weak. Assume the points are close to the line, indicating a strong correlation.

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