Question

Suppose a researcher is interested in predicting anxiety level based on the amount of caffeinated beverages consumed a day. Data collected from 5 college students is shown below. Be sure to labe your answers with the appropriate letter and show all your work (leach mathematical step) for each answer Caffeinated Anxiety M Beverages (X) 10 Calculate the covariance between the two variables Clauatethe siandrd deiatono ech arable andthe corelaton betwen thevariales llt hesoge as i onpleterersin reii equation. d tnewperson drils afeiated verages wha ould you prdi hi aey lee to be HINT Yuneed tous the regression quationto answer this question.

Answer 1

a)

Covariance =1.75

b)

std deviation of x =1.5811

std deviation of y =1.4832

correlation coefficient r=0.7462

c)slope=0.70

intercept =6.80

line equation: Yhat=6.80+0.70*x

d)

predicted value =6.80+0.7*6=11