Refer to given Exercise in which the regression relationship between age in years and body temperature in degrees Fahrenheit is given as = 98.6 - 0.0138x, based on data from 100 blood donors ranging in age from 17 to 84 years old.
a. What is the y-intercept for this relationship? Does it have a useful meaning in this situation? Explain.
b. Give the value of the slope, and interpret what in means in this situation.
c. When you are 40 years older than you are today, how is your body temperature predicted to differ from what it is now?
d. Is it reasonable to use this regression equation to predict the body temperature for someone who is 100 years old? Explain.
e. Is it reasonable to use this regression equation to predict the body temperature for someone who is 30 years old? Explain.
Exercise
The dataset body temp 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. The regression equation is = 98.6 - 0.0138x.
a. In the regression relationship shown, which variable is the response variable (y) and which is the explanatory variable (x)?
b. What is the predicted body temperature for someone who is 50 years old?
c. One of the donors was 50 years old and had a body temperature of 97.6°. What is the residual for this person? Explain what the residual tells you about this person's body temperature in comparison to the average body temperature for someone his age.