Given the graph below; answer the following questions: a. What is the equation o

Question

Given the graph below; answer the following questions: a. What is the equation of the best-fit line or trendline? b. What does "X” stand for in the equation? c. What does "y" stand for in the equation? d. What is the slope? e. What is the y-intercept? 4. Use the equation for the trendline below to find the concentration of Red #40 in Kool- Aid ifa solution has an absorbance of 0.420 Absorbance versus Concentration F, D, & C Red #40 0.6 0.5 o0.4 0.3 20.2 0.1 y = 10735x + 0.0612 R-0.9967 0.00E+00 1.00E-05 2.00E-05 3.00E-05 4.00E-05 5.00E-05 6.00E-05 Concentration (M)

Explanation / Answer

A best fit-line trend line is a straight line which represents the data on a scatter plot.

a) Equation for this line is y = mx + b

b) “x” stands for the x-coordinate in equation (horizontal axis)

c) “y” stands for the y-coordinate in equation ( vertical axis)

d) “m” is the slope.

Slope (m) = (change in y) / (change in x)

e) “b” is Y- Intercept (where the line crosses the Y axis)

f) In graph Absorbance vs. Concentration, where y equal to absorbance and x equal to concentration. Solution has absorbance of 0.420, so choose a point at 0.420 on y-axis and draw a line along x-axis; this line will cross the graph. Now draw a vertical line from this point to x-axis. Where this line crosses the x-axis, it is concentration of Red in Kool Aid. The line crosses the x axis at concentration 3.60E-05

Concentration of Red in Kool Aid = 3.60E-05

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