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2 pages/≈550 words
Mathematics & Economics
Lab Report
English (U.S.)
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Nonlinear Quadratic Model (Lab Report Sample)


This is a laboratory report that requires the development of a nonlinear quadratic model.

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Professor’s name
Nonlinear Quadratic Model
QR-1: Scatter plot for the data
The data used to create the scatter plot is in the table below (see table 1) and the graph is the subsequent figure (see fig. 1)
Table  SEQ Table \* ARABIC 1
Time of day and temperature figures
Time of day (hours)Temperature (degrees F.)735950115613591461176220592344

Fig.  SEQ Figure \* ARABIC 1. Scatter plot diagram for temperature against elapsed time
QR-2: Quadratic polynomial of best fit
The quadratic polynomial of best fit, presented as y = ax2+bx+c, is:
y = -0.3476x2 + 10.948x - 23.078,
Where a = -0.3476
b = 10.948
c = -23.078
QR-3: r2 value and significance
The r2 value for the quadratic polynomial of best fit is 0.9699. In this case, the r2 value is the coefficient of determination and is used to predict data modeling results and infer data points based on the model and collected data. In this respect, the assumption is that all data changes will conform to the statistical model. For that matter, if r2 is 1.0, then any forecasts will have a 0.0% margin of error, while if r2 is 0.0, th...
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