This experiment was performed to understand the process of linear least-squared analysis as well as developing the skills to use EXCEL and having the criteria for the best line of fit to ones’ graphs. Linear least-squared analysis is a statistical method to determine a line of best fit by minimizing the sum of squares created by a mathematical function. A “square” is determined by squaring the distance between a data point and the regression line. For the 1st order kinetics graph, the y-axis was for the sum of ln(A). The straight line equation came out to be y=-0.0224x-0.546 while the regression line was at a 0.99564 which was very good. For the 2nd order kinetics graph, the y-axis was for the sum of 1/A. The straight line equation came out to be y=0.0575x+1.6104 while the regression line was at a 0.97327 which was also quite good. Each data set had 9 degrees of freedom. The F-value for the first graph was 2057.16 and the 2nd graph was 327.67. Introduction: We used a set of data using least-squares procedures and decided from the evidence whether the 1st or 2nd –order kinetics was a better suited match to describe the data. Paying attention to data analysis and plots for these graphs were the most challenging. The data involves a pair of measurements of an independent variable x and a dependent variable y. In this case, our independent variable was Time(minutes) and the dependent variable was Abs(ODU). We preformed linear least-squared analyses using EXCEL in order to
* Given linear and exponential data, interpret the rate of change within the given context.
Student instructions: Follow the step-by-step instructions for this exercise found on the worksheet below and in the virtual lab and record your answers in the spaces below. Submit this completed document by the assignment due date found in the Syllabus.
Introduction: Today scientists put acquired data into a form of a graph. This said graph is designed to help make predictions and furthermore, study and understand the experiment and its contents at hand. The Graphing and Estimating lab involves just that. The lab is designed to collect data from several tests involving burn time of a candle.
Statistical results of the data analysis have been received by using the Gauss curve, as preferred distribution function, and the
Figure 1 Concentration of glucose relative to elution volume. Graph plotted using Excel. The equation of the line is represented by a 6th order polynomial (y = -4E-08x6 + 8E-06x5 - 0.0006x4 + 0.0184x3 - 0.2952x2 + 2.0705x - 4.6828) with a regression R² = 0.75191.
1) Which type of function (linear, exponential, or cubic) do you believe will best fit the data? Support your choice.
1. In the state of Oklahoma we know how important it is to have the appropriate resources available to you for early childhood intervention so they can maintain a healthy learning, living and social environment. Our most popular and highly recommended is SoonerStart. This program will evaluate all children from birth up to three years of age to make
3. Design an algorithm in pseudocode to solve the problem. Make sure to include steps to get each input and to report each output.
2. Again, review the DFDs you developed for the Petrie's Electronics case. (I have placed the level 1 diagrams in the Project Workbook - Week 3 folder in doc sharing, use your homework solution for the Record Customer Activities level 1) .
The petitioner raises multiple issues regarding the IRS' final rule and interpretation of the provision regarding tax credits for taxpayers payers signed up in "an exchange established by the state." The IRS' final rule stated that the provision pertained to both state and federal exchanges. Petitioner argues that the phrase "established by the state," refers to just the states that have their own exchanges, and not the federal exchange. Therefore, the petitioners would not be eligible for the tax credits, and would not be required to maintain insurance coverage since the cost would exceed eight percent of their income.
6. Why is the black line so much more variable than the red line? What 's the difference between the data they show?
The scatter plot of Credit balance ($) versus Size show that the slope of the „best fit‟ line is upward (positive);this indicates that Credit balance varies directly with Size. As Size increases, Credit Balance also increases vice versa. Correct
The line of best-fit is used to find the gradient, the T2/L value, if straight or linear it shows that the relationship between the two is directly proportional. Using the original equation, you can square both sides and rearrange it to make . Then you can input the gradient value (T2/L) and work out g. , where g equals 10.13 m/s2. This value is close to the
The trendline, known as the line of best fit or the least squares regression line, shows the linear equation which best explains the sums up the data’s trend. The formula on the right is the formula of the line of best fit.
a. A firm has a large amount of long-term debt (valued on a cost basis) and decides to set up a natural hedge of this debt. However, a natural hedge can lead to excess net income volatility—that is, net income volatility greater than the actual volatility of the firm’s operations. Explain how this can happen.