The dataset bodytemp on the companion website gives age in years and body temper

Question

The dataset bodytemp on the companion website gives age in years and body temperature in degrees Fahrenheit for 100 blood donors ranging in age from 17 to 84 years old. Minitab output for the linear regression is as follows: The regression relationship between age and body temperature for a sample of 100 blood donors was given as temperature = 398.6 - 0.0138 (age). (a) The slope of the line is -.0138. Explain whether the proper notation for this slope is b1 or B1. (b) The standard error for the slope was given in the output as .0042. Calculate an approximate 95% confidence interval for the slope in the population. Write a sentence that interprets this interval. (c) Use you answer in part (b) to find an approximate 95% confidence interval for the predicted decrease in body temperature as someone ages by 10 years.

Explanation / Answer

a) b1 will be the proper notation for this slope.

b) z value for 95% confidence level = 1.96

CI = (-0.0139 ± 1.96*0.0042)

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