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Data was collected on age (in years) and blood pressure (in millimeters of mercury) from a sample of people living in a particular country. A scatterplot of the data was produced.
The method of least squares was used to fit a straight line model to this data. The equation of the least squares fit line is
y = 98.7 + 0.971x
a) choose more meaningful labels for the explanatory and dependant variables, and hence write down an equation that may be used to model the relationship between a person's age and their blood pressure.
b) Use this equation to predict the blood pressure for a person whose age is 45 years.
c) Person A is 5 years older than person B. According to the model, what is the prediced difference between the blood pressures of person A and person B?
1 Answer | Add Yours
a. Let write presure (P) for y and and age in year ( A) for x .Thus model will become
P=98.7 + 0.971 A
b. We have age 45 years.
P= 98.7+0.971 x (45)
c. Let age of Person B= x years ,so age of Person A=x+5
PB=Blood presure of person B= 98.7+.971x
PA= Blood presure of person A=98.7+.971(x+5)
difference in Blood presure= PA-PB
=.971 x 5
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