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Plots & Data Analysis
Trend Lines
Write an equation in slope-intercept form of the trend line.
(1 point)

Plots \& Data Analysis\newlineTrend Lines\newlineWrite an equation in slope-intercept form of the trend line.\newline(11 point)

Full solution

Q. Plots \& Data Analysis\newlineTrend Lines\newlineWrite an equation in slope-intercept form of the trend line.\newline(11 point)
  1. Identify Points: Identify two points on the trend line. Let's say the points are (1,2)(1, 2) and (3,4)(3, 4).
  2. Calculate Slope: Calculate the slope mm using the formula m=y2y1x2x1m = \frac{y_2 - y_1}{x_2 - x_1}. So, m=4231=22=1m = \frac{4 - 2}{3 - 1} = \frac{2}{2} = 1.
  3. Find Y-Intercept: Use one of the points and the slope to find the y-intercept bb using the formula y=mx+by = mx + b. Substitute the slope and the coordinates of one point into the equation. Let's use point (1,2)(1, 2). 2=1(1)+b2 = 1(1) + b So, b=21=1b = 2 - 1 = 1.
  4. Write Equation: Write the equation in slope-intercept form, y=mx+by = mx + b.\newlineSubstitute mm and bb into the equation.\newliney=1x+1y = 1x + 1.

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