An experiment was conducted to observe the effect of an increase in temperature on the potency of an antibiotic. Three one ounce portions of the antibiotic were stored for equal lengths of time at each of the following Fahrenheit temperatures: 40?, 55?, 70?, and 90?. The potency readings observed at the end of the experimental period were
|
Potency reading, y
|
49
|
38
|
27
|
24
|
38
|
33
|
19
|
28
|
16
|
18
|
23
|
|
Temperature, x
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40?
|
|
|
55?
|
|
|
70?
|
|
|
90?
|
|
(a) Find the least-squares line appropriate for these data.
(b) Plot the points and graph the line as a check on your calculations.
(c) Calculate the 95% con?dence intervals for β0 and β1, respectively.