Problem 12SE
A materials scientist is experimenting with a new material with which to make beverage cans. She fills cans with liquid at room temperature, and then refrigerates them to see how fast they cool. According to Newton's law of cooling, if t is the time refrigerated and y is the temperature drop at time t. then y is related to t by an equation of the form
where β0 is a constant that depends on the initial temperature of the can and the ambient temperature of the refrigerator, and β1 is a constant that depends on the physical properties of the can. The scientist measures the temperature at regular intervals, and then fits this model to the data. The results are shown in the following figure. A scatterplot, with the least-squares line superimposed, is on the left, and the residual plot is on the right.
What should the scientist do next?
i. Try to find a transformation that makes the relationship more linear.
ii. Use the model as is, because Newton's law of cooling is a physical law.
iii. Use the model as is, because it fits well enough.
iv. Carefully examine the experimental setup to see what might have gone wrong.
October 25, 2016 No Class (Fall Break) October 27, 2016 Newsgathering: Pitfalls and Protections (P.1) ● 1st amendment doesn’t give right to access information for journalists (not freedom of information act or official secrets acts) ○ Official secrets acts in England allow to punish journalists from publishing secrets of state ● Access to property: ○ Public property: i f in public property there is no expectation of privacy ■ If police there, it is okay as long as not getting in the way of police activity ■ Recording of police activities bring up question- allowed as long as not
