# Question: we know that a researcher calculated a correlation coefficient for...

###### Question details

We know that a researcher calculated a correlation coefficient for the association between smoking and lung cancer rate is 0.737 using the data in Table 1. In addition, the researcher have estimated x ̅ = 603.64, y ̅ = 20.55, s_x= 378.451, s_y= 11.725, and r = 0.737.

a. Calculate the slope coefficient b for y ̂ = a + bx. Round the answer to the nearest 10,000th

b=

b. Calculate the intercept coefficient a for y ̂ = a + bx. Round the answer to the nearest 100th.

a=

c. What is the estimated linear regression equation?

y ̂ =

d. What is the predicted lung cancer rate in a country with a per capita cigarette consumption of 400? Round the answer to the nearest 100th.