In: Statistics and Probability
A ski resort asked a
random sample of guests to rate their satisfaction on various
attributes of their visit on a scale of 1–5 with 1 = very
unsatisfied and 5 = very satisfied. The estimated regression model
was Y = overall satisfaction score, X1
= lift line wait, X2 = amount of ski trail
grooming, X3 = safety patrol visibility, and
X4 = friendliness of guest services.
Predictor | Coefficient | |
Intercept | 2.9833 | |
LiftWait | 0.1458 | |
AmountGroomed | 0.2562 | |
SkiPatrolVisibility | 0.0428 | |
FriendlinessHosts | −0.1298 | |
(a) Write the fitted regression equation.
(Round your answers to 4 decimal places. Negative values
should be indicated by a minus sign.)
yˆy^ = ______ + ______ * LiftWait + ________ *
AmountGroomed +________ * SkiPatrolVisibility
+________ * FriendlinessHosts
(b) Interpret each coefficient.
Overall satisfaction "increases" remains
same with an increase in satisfaction for each
individual predictor except for friendliness of hosts.
(c) Would the intercept seem to have meaning in
this regression?
Yes
No XXXXX
(d) Make a prediction for Overall Satisfaction
when a guest’s satisfaction in all four areas is rated a 3.
(Round your answer to 4 decimal places.)
Overall satisfaction score ____________
Note that the estimated overall satisfaction score is 3.9439 on an average when all scores are equal to 3.