Algebra 1- Unit 3: Two Variable Statistics EXIT TICKET Estimate Line of Best FitName Aaron samsDate: PdPdI 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?
Q. Algebra 1- Unit 3: Two Variable Statistics EXIT TICKET Estimate Line of Best FitName Aaron samsDate: PdPdI 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?
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.
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)=(y2−y1)/(x2−x1). Suppose the coordinates of these points are (2,3) and (5,11). Then, the slope = (11−3)/(5−2)=8/3.
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=1, then the y-intercept is 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=38 and b=1, so the equation is y=(38)x+1.
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.
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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