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Imagine a regression line that relates average systolic blood pressure to a pers

ID: 2909554 • Letter: I

Question

Imagine a regression line that relates average systolic blood pressure to a person's age. For this setting let the average systolic blood pressure play the role of response variable. The average blood pressure for people 38 years old is 110, while for those 58 years old the average is 146.

(a) What is the slope of the regression line? (Round the answer to two decimal places.)

(b) What is the intercept of the regression line? (Round the answer to two decimal places.)

(c) What is the estimated average systolic blood pressure for people who are 43 years old? (Round the answer to one decimal place.)

Explanation / Answer

a)  slope of the regression line b1=(y2-y1)/(x2-x1)=(146-110)/(58-38)=1.8

b)intercept of the regression line bo =110-38*1.8=41.6

c)estimated average systolic blood pressure for people who are 43 years old=bo+b1*x=41.6+1.8*43

=119