1. An experiment is conducted to evaluate the storage conditions for fish after it has been caught. Fish were caught and either directly put into a freezer or left out for different intervals t_lag (3, 6, 9, and 12 hours) before being put into the freezer. The bacterial contamination was evaluated after 7 days of storage in the freezer. For every time point, 3 fish were caught and stored accordingly. [10 points]

Bacteria (in units) Delay time (in hours)

Fish t_lag=0 t_lag=3 t_lag=6 t_lag=9 t_lag=12

1 5 23 52 140 162

2 20 41 63 122 185

3 10 39 71 105 166

1. Plot and calculate the linear regression model for the relationship between time interval between catching and freezing fish (t_lag) and the units of bacterial growth (note: you can use Microsoft Excel or any other program that is able to calculate simple linear regression models. If you do, please provide the data file in addition to the answer).
2. Explain the terms slope, intercept, and linear regression model using this example.
3. Test the hypothesis that the slope of the regression model is significant different from 0 using a significance level of = 0.05. What is the 95% confidence interval for the slope?