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

Algebra 11- Unit 33: Two Variable Statistics EXIT TICKET Estimate Line of Best Fit\newlineName Aaron sams\newlineDate: \newlinePd\newlinePdI \newlineUse a ruler to draw an approximate line of best fit thorough the points.\newlineSlope:\newlineY-intercept:\newlineEquation:\newlinePositive or Negative Correlation?\newlineStrong or Weak?

Full solution

Q. Algebra 11- Unit 33: Two Variable Statistics EXIT TICKET Estimate Line of Best Fit\newlineName Aaron sams\newlineDate: \newlinePd\newlinePdI \newlineUse a ruler to draw an approximate line of best fit thorough the points.\newlineSlope:\newlineY-intercept:\newlineEquation:\newlinePositive or Negative Correlation?\newlineStrong or Weak?
  1. 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, minimizing the distance between the points and the line.
  2. Calculate Slope: Calculate the slope of the line by selecting two points on the line of best fit. Use the formula (change in y)/(change in x)=(y2y1)/(x2x1)(\text{change in } y) / (\text{change in } x) = (y_2 - y_1) / (x_2 - x_1). Suppose the coordinates of these points are (2,3)(2,3) and (5,11)(5,11). Then, the slope = (113)/(52)=8/3(11 - 3) / (5 - 2) = 8 / 3.
  3. Determine Y-Intercept: Determine the y-intercept by extending the line to where it crosses the y-axis. If the line crosses the y-axis at y=1y = 1, then the y-intercept is 11.
  4. Write Equation: Write the equation of the line using the slope-intercept form y=mx+by = mx + b, where mm is the slope and bb is the y-intercept. From the previous steps, m=83m = \frac{8}{3} and b=1b = 1, so the equation is y=(83)x+1y = \left(\frac{8}{3}\right)x + 1.
  5. Observe Correlation Direction: Observe the direction of the line to determine the type of correlation. If the line slopes upwards as it moves from left to right, it indicates a positive correlation.
  6. Assess Correlation Strength: Assess the strength of the correlation by looking at how close the points are to the line of best fit. If most points are near the line, it indicates a strong correlation. If they are widely spread, it indicates a weak correlation. In this case, let's assume it's a strong correlation.

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