Second-degree Equation Step 1. Copy the given table on your graphing paper, after your student details. X (% concentration) 0.50 1.00 1.50 2.00 2.50 3.00 Y (oil separation) 5.10 3.60 2.60 2.00 1.40 1.00 Log Y Step 2. Initially plot the x and y values
Second-degree Equation
Step 1. Copy the given table on your graphing paper, after your student details.
|
X (% concentration) |
0.50 |
1.00 |
1.50 |
2.00 |
2.50 |
3.00 |
|
Y (oil separation) |
5.10 |
3.60 |
2.60 |
2.00 |
1.40 |
1.00 |
|
Log Y |
Step 2. Initially plot the x and y values on a regular graphing paper (or millimeter graphing paper - if available, preferred for precision). Label then connect the points to observe curved line.
Step 3. Since the line is curved, the y-intercept cannot be easily determined because you can’t exactly determine the direction of the line once extrapolated. To obtain a straight line, first, compute the logarithm values of all the y values up to the 2nd decimal place (for the purpose of easy plotting later) and fill in the table.
Step 4. On another graphing paper, plot then label the x and log y. Using a dotted line, extrapolate the straight line to the y axis. Label this point as “a” for the y-intercept.
Step 5. For uniformity of answers, mark the first and second values in the table as (X1, log Y1) and (X2, log Y2) respectively for the computation. Compute for the slope of the line (b) using the formula:
b = log y2−log y1 / x2−x1
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