12.81 Fresh Roses A horticulturalist devised a scale to measure the freshness of roses that were packaged and stored for varying periods of time before transplanting. The freshness measurement y and the length of time in days that the rose is packaged and stored before transplanting x are given below.

a. Fit a least-squares line to the data.

b. Construct the ANOVA table.

c. Is there sufficient evidence to indicate that freshness is linearly related to storage time? Use a = 0.05.

d. Estimate the mean rate of change in freshness for a 1-day increase in storage time using a 98% confidence interval.

e. Estimate the expected freshness measurement for a storage time of 14 days with a 95% confidence interval.

f. Of what value is the linear model in reference to y in predicting freshness?

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X 5 10 15 20 25 y 15.3 13.6 9.8 5.5 1.8 16.8 13.8 8.7 4.7 1.0