A researcher wants to determine whether the number of consecutive rainy days can predict peoples' moods (as measured on a 0-10 scale).Their dataset is below, and they calculate a constant of 9 with a coefficient of -0.6.

Rainy days: 4, 6, 7, 3

Mood; 6, 8, 3, 7

a) What is the predictor?

b) What is the criterion?

c) Write the regression equation.

d) Based on the regression equation, if there are three consecutive rainy days, what mood can we expect?

e) What concept explains the discrepancy between the value you got for in part (d) and the actual value of y in the dataset when there have been three consecutive rainy days?

f) Calculate theproportionate reduction in error.

g) Interpret your result from part (f) in words.

h) Which is likely a better estimate of mood - mean mood ratings or the regression equation?How do you know?