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

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

Algebra $1$ - Unit $3$ : Two Variable Statistics EXIT TICKET Estimate Line of Best Fit $\newline$ Name Aaron sams $\newline$ Date: $\qquad$ $\newline$ $\qquad$ $\mathrm{Pd}$ PdI $\qquad$ $\newline$ 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? $\newline$ Pesitive $\newline$ 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 Aaron sams

\newline

Date:

\qquad

\newline

\qquad

\mathrm{Pd}

PdI

\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

Pesitive

\newline

Strong or Weak?

Draw Line of Best Fit: Step $1$ : Draw the line of best fit using a ruler across the scatter plot to minimize the distances from all points.
Identify Clear Points: Step $2$ : Identify two clear points on the line, $(x_1, y_1)$ and $(x_2, y_2)$ . For example, let's say $(x_1, y_1) = (1, 3)$ and $(x_2, y_2) = (4, 6)$ .
Calculate Slope: Step $3$ : Calculate the slope $m$ using the formula $m = \frac{y_2 - y_1}{x_2 - x_1}$ . Plugging in the points, $m = \frac{6 - 3}{4 - 1} = \frac{3}{3} = 1$ .
Find Y-Intercept: Step $4$ : Find the y-intercept $b$ using the equation of a line $y = mx + b$ . Substitute one point into the equation, say $(1, 3)$ . So, $3 = 1 \times 1 + b$ , thus $b = 3 - 1 = 2$ .
Write Equation of Line: Step $5$ : Write the equation of the line. With $m = 1$ and $b = 2$ , the equation is $y = 1x + 2$ .
Observe Overall Trend: Step $6$ : Observe the overall trend of the points relative to the line of best fit to determine the correlation type. If the line slopes upwards as $x$ increases, it's a positive correlation.
Assess Correlation Strength: Step $7$ : Assess the strength of the correlation. If the points are close to the line, it's a strong correlation; if they are widely spread, it's weak. Assume the points are close to the line.

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