Fresh Roses A horticulturalistdevised a scale to measure the freshnessof roses that were

Chapter 12, Problem 76

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Fresh Roses A horticulturalistdevised a scale to measure the freshnessof roses that were packaged and stored for varyingperiods of time before transplanting. The freshnessmeasurement y and the length of time in days that therose is packaged and stored before transplanting x aregiven below.x 5 10 15 20 25y 15.3 13.6 9.8 5.5 1.816.8 13.8 8.7 4.7 1.0a. Fit a least-squares line to the data.b. Construct the ANOVA table.c. Is there sufficient evidence to indicate that freshnessis linearly related to storage time? Usea .05.d. Estimate the mean rate of change in freshness fora 1-day increase in storage time using a 98%confidence interval.e. Estimate the expected freshness measurement fora storage time of 14 days with a 95% confidenceinterval.f. Of what value is the linear model when comparedto y in predicting freshness?

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