Question

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	2.9612
LiftWait	0.1563
AmountGroomed	0.2344
SkiPatrolVisibility	0.0550
FriendlinessHosts	−0.1069

  
(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

d) Make a prediction for Overall Satisfaction when a guest’s satisfaction in all four areas is rated a 4. (Round your answer to 4 decimal places.)

Overall satisfaction score            _____________

Answer 1

Given:

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	2.9612
LiftWait	0.1563
AmountGroomed	0.2344
SkiPatrolVisibility	0.0550
FriendlinessHosts	−0.1069

a) The fitted regression equation is

= 2.9612 + 0.1563 * LiftaWait + 0.2344 * AmountGroomed + 0.0550 * SkiPatrolVisibility - 0.1069 * FriendlinessHosts

d) A prediction for Overall Satisfaction when a guest’s satisfaction in all four areas is rated a 4 is

= 2.9612 + 0.1563 * 4 + 0.2344 * 4 + 0.0550 * 4 - 0.1069 * 4

= 2.9612 + 0.6252 + 0.9376 + 0.22 - 0.4276

= 4.3164

Therefore the overall satisfaction score is 4.3164