MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Concept explainers

Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as p…
Question
Find the slope Find the correlation Find the RSME
The table data: 15 1.75 13 1.63 11 1.5 9 1.35 7 1.19 1.01 0.78 5 3
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Transcribed Image Text:The table data: 15 1.75 13 1.63 11 1.5 9 1.35 7 1.19 1.01 0.78 5 3
1.19 1.02 0.84 Table 2 4) Using your data from Table 2, graph d, vs. ½t² in Logger Pro. (½t is on the x-axis and d, is on the y-axis) Sketch the graph below. (KEEP THIS GRAPH – DO NOT EXIT OR CLOSE) 5) Describe the graph from #4 above. I would describe this graph that is positive 6) Fit a straight line to this graph (data table 2) using R= (it is a linear regression function which fits the best straight line to the data). Fill in slope, y-int, correlation, and RMSE values. Linear Fit for: Data Set | Y y = mx+b m (Slope): 12.02 b (Y-Intercept): -7.916 Correlation: 0.9983 RMSE: 7) What is the slope of this graph in terms of physics? (Look at the graph, check out the units, go back and read the beginning of the lab.) In terms of physics, the acceleration rate for how long it takes the cannon to reach the ground is, 12.02s 8) Calculate the percent error for your value. % error = I2.v T EA T00 anm
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Transcribed Image Text:1.19 1.02 0.84 Table 2 4) Using your data from Table 2, graph d, vs. ½t² in Logger Pro. (½t is on the x-axis and d, is on the y-axis) Sketch the graph below. (KEEP THIS GRAPH – DO NOT EXIT OR CLOSE) 5) Describe the graph from #4 above. I would describe this graph that is positive 6) Fit a straight line to this graph (data table 2) using R= (it is a linear regression function which fits the best straight line to the data). Fill in slope, y-int, correlation, and RMSE values. Linear Fit for: Data Set | Y y = mx+b m (Slope): 12.02 b (Y-Intercept): -7.916 Correlation: 0.9983 RMSE: 7) What is the slope of this graph in terms of physics? (Look at the graph, check out the units, go back and read the beginning of the lab.) In terms of physics, the acceleration rate for how long it takes the cannon to reach the ground is, 12.02s 8) Calculate the percent error for your value. % error = I2.v T EA T00 anm
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