In an investigation of the physiological effects of alcohol (ethanol), 15 mice were randomly allocated to three

Question:

In an investigation of the physiological effects of alcohol (ethanol), 15 mice were randomly allocated to three treatment groups, each to receive a different oral dose of alcohol. The dosage levels were 1.5, 3.0, and 6.0 gm alcohol per kg body weight. The body temperature of each mouse was measured immediately before the alcohol was given and again 20 minutes afterward. The accompanying table shows the drop (before minus after) in body temperature for each mouse. (The negative value -0.1 refers to a mouse whose temperature rose rather than fell.)14

(a) Plot the mean drop in body temperature versus dose. Plot the mean drop in body temperature versus log(dose). Which plot appears more nearly linear?
(b) Plot the individual (x, y) data points [where X = log(dose)].
(c) For the regression of Y on X = log (dose) preliminary calculations yield the following: = 0.477, = 3.05333, sx = 0.25439, sy = 2.13437, r = 0.91074. Calculate the fitted regression line and the (approximate) residual standard deviation.
(d) Draw the regression line on your graph.
(e) Is this study an example of an observational study or an experiment? How can you tell?
(f) Could data from this study be used to determine whether or not alcohol lowers body temperature? Briefly explain.