A research firm collected data on a sample of n= 30 drivers to investigate the relationship…

A research firm collected data on a sample of n= 30 drivers to investigate the relationship between the age of a driver and the distance the driver can see. The data is given below Age Age 20 Distance 510 590 560 510 55 63 Distance 420 350 420 300 410 300 390 320 460 490 560 370 510 460 410 420 460 450 280 420 460 360 310 360 380 460 e) Calculate the correlation coefficient? Explain what this means, and comment on whether or not it suggests the model is good. What would you expect the distance that a 50 year old driver can see to be? g) Give a 95% prediction interval for the distance that an individual 50 year old can see. h) Give a 95% confidence interval for the mean distance that 50 year olds can see.