The peak flow rate of a person is the fastest rate at which the person can expel air after taking a deep breath. Peak flow rate is measured in units of liters per minute and gives an indication of the person’s respiratory health. Researchers measured peak flow rate and height for each of a sample of 17 men. The results are given in the table. (image included) a. Create a scatterplot displaying the relationship between peak flow rate and height. b. Calculate the sample correlation coefficient for peak flow rate and height. c. If we were to predict the peak flow rate using height with a least-squares regression model, what is the slope estimate ˆb? d. Continuing with part a, what is the intercept estimate ˆa? e. Based on the regression model, what is the predicted peak flow rate for a subject that is 175cm tall? f. Looking at the original data, subject 8 is 175cm tall with a peak flow rate of 670l/min. What is the residual for this subject? g. Fit the least-squares model in R. What is the coefficient of determination (R2)? h. Using your R output, is the slope parameter significant? Report the p-value and conclude at an α = 0.05 level.
The peak flow rate of a person is the fastest rate at which the person can expel air after taking a deep breath.
Peak flow rate is measured in units of liters per minute and gives an indication of the person’s respiratory
health. Researchers measured peak flow rate and height for each of a sample of 17 men. The results are given
in the table. (image included)
a. Create a scatterplot displaying the relationship between peak flow rate and height.
b. Calculate the sample
c. If we were to predict the peak flow rate using height with a least-squares regression model, what
is the slope estimate ˆb?
d. Continuing with part a, what is the intercept estimate ˆa?
e. Based on the regression model, what is the predicted peak flow rate for a subject that is 175cm
tall?
f. Looking at the original data, subject 8 is 175cm tall with a peak flow rate of 670l/min. What is
the residual for this subject?
g. Fit the least-squares model in R. What is the coefficient of determination (R2)?
h. Using your R output, is the slope parameter significant? Report the p-value and conclude at an
α = 0.05 level.
please help me, i am very confused - be clear in answers as well
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