The measurements of the bulk modulus of a material at different temperatures is as follows:
| 20 | 500 | 100 | 1200 | 1400 | 1500 | |
| K (G Pa) | 203 | 197 | 191 | 188 | 186 | 184 |
Determine the regression equation for this data.
To determine the regression equation for the given data, we can perform a linear regression analysis. In this case, we are trying to fit the data of temperature (\(T\)) vs. bulk modulus (\(K\)) into a linear equation of the form: \[ K = aT + b \] Where \(K\) is the bulk modulus (in GPa), \(T\) is the temperature in °C, \(a\) ________ ____ _______ _________ ____ _________ __________ __________ _____ _______ ___.
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An unbiased coin is tossed three times. If A is the event that a head appears on each of the first two tosses, B is the event that a tail occurs on the third toss and C is the event that exactly two tails appear in the three tosses, show that:
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