Residuals, Coefficient of Determination Worksheet Solutions
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1 Math 121 Ravenwood Residuals, Coefficient of Determination Worksheet Solutions Atmospheric Temperature as a Function of Altitude (not real data) Which means the linear regression equation is , the correlation coefficient is 1, and the coefficient of determination is 100%.
2 The data doesn t appear to have any outliers present. The regression equation does appear to accurately represent the data, since the graph looks good, the residuals are pretty small, and the r value is close to -1. The meaning of the coefficient of determination is that it tells us that approximately 100% of the variation in temperature can be explained by altitude. Fish found with Lead and Zinc Which means that the linear regression equation is , the correlation coefficient is.941, and the coefficient of determination is 88%. After computing residuals and storing them in, your screen should look like:
3 The only point that comes close to being an outlier is the point 1.98,106 whose residual value is , which is much larger in magnitude than the other residual values. The model does do a fairly good job representing the data with the exception of the outlier point. We can see this from the graph and also from the fact that the coefficient of determination is fairly high. The coefficient of determination tells us that approximately 88% of the variation in zinc content in a fish can be explained by the lead content in the fish. This leaves 12% of the variation unexplained and due to other factors. Lake Whatcom Humidity & Dewpoint
4 Which means that the regression equation is , the correlation coefficient is and the coefficient of determination is 86% Judging by the graph and the relatively small values of the residuals, I wouldn t say that there are any outliers present in this set of data. The model does a fairly good job of representing the data. We can see this by looking at the graph, the fact that there aren t any outliers present, and the fact that the coefficient of determination is about 86%. The coefficient of determination tells us that 86% of the variation in dewpoint can be explained by temperature. This means that 14% of the variation is unexplained or due to other factors. Celsius and Fahrenheit Temperature
5 This tells us that the linear regression equation is , the correlation coefficient is 1, and the coefficient of determination is 100%. All the residuals in the list are zero because the model is a perfect fit. There are no outliers present in this set of data. The regression equation is a perfect representation of the data. We can see this from the graph, the list of residuals, and also because the coefficient of determination is 100%. This tells us that 100% of the variation in Fahrenheit temperature can be explained by Celsius temperature. 0% of the variation is unexplained or due to other factors.
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