X= temperature (°c) 1100 1200 1300 1100 1500 1200 1300 y = porosity (%) 30.8 19.2 6 13.5 11.4 7.7 3.6 (a) fit the simple linear regression model using the method of least squares. find the least squares estimates of the intercept and slope in the simple linear regression model.

The random variable x is the number of occurrences of an event over an interval of ten minutes. it can be assumed that the probability of an occurrence is the same in any two-time periods of an equal length. it is known that the mean number of occurrences in ten minutes is 5.3. the appropriate probability distribution for the random variable