The following data were collected during an experiment in which laboratory animals were inoculated with a pathogen. The variables are time in hours after inoculation and temperature in degrees Celsius.

Time Temperature Time Temperature 24 38.8 44 41.1 28 39.5 48 41.4 32 40.3 52 41.6 36 40.7 56 41.8 40 41.0 60 41.9 Find the simple linear regression equation and test H0 : b1 ¼ 0 using both ANOVA and the t test. Test H0 : r ¼ 0 and construct a 95 percent confidence interval for r. Construct the 95 percent prediction interval for the temperature at 50 hours after inoculation. Let a ¼ :05 for all tests.

For each of the studies described in Exercises 26 through 28, answer as many of the following questions as possible.

(a) Which is more relevant, regression analysis or correlation analysis, or are both techniques equally relevant?

(b) Which is the independent variable?

(c) Which is the dependent variable?

(d) What are the appropriate null and alternative hypotheses?

(e) Do you think the null hypothesis was rejected? Explain why or why not.

(f) Which is the more relevant objective, prediction or estimation, or are the two equally relevant?

(g) What is the sampled population?

(h) What is the target population?

(i) Are the variables directly or inversely related?