Question

In: Statistics and Probability

A ski resort asked a random sample of guests to rate their satisfaction on various attributes...

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 ____________

Solutions

Expert Solution

Note that the estimated overall satisfaction score is 3.9439 on an average when all scores are equal to 3.


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