Imagine a regression line that relates average systolic bloo

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 22 years old is 94, while for those 44 years old the average is 120.
Recall from high school that the slope is \"rise\" over \"run\". Since this is a two point line your model will fit perfectly (r = 1).

(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 27 years old?
  (Round the answer to one decimal place.)
   

Solution

sol) Given

X=age

Y=average systolic blood pressure

The Regression model is

Y=a+bX

Using Excel we get

Y=68+1.18(Age)

a) The Slope of the Regression line is 1.18

b) The intercept of the regression line is 68

c) When X=27 then we try to find the Y

Using Fitted Regression Y=68+1.18(Age)

Y=68+1.18(27)

Y=99.86

CONCLUSION:the estimated average systolic blood pressure for people who are 27 years old is 99.86