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 2.9018 Liftwait 0.1642 AmountGroomed 0.2343 SkiPatrolVisibility FriendlinessHosts 0.0602 -0.1193 (a) Write the fitted regression equation. (Round your answers to 4 decimal places. Negative values should be indicated by a minus sign.) 2.9018 0.1642 * LiftWait + 0.2343 * AmountGroomed + 0.0602 * SkiPatrolVisibility + -0.1193 * FriendlinessHosts %3! (b) Interpret each coefficient. Overall satisfaction increases ]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 (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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.6: Regression And Median-fit Lines
Problem 4GP
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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
2.9018
Liftwait
0.1642
AmountGroomed
0.2343
SkiPatrolVisibility
FriendlinessHosts
0.0602
-0.1193
(a) Write the fitted regression equation. (Round your answers to 4 decimal places. Negative values should be indicated by a minus
sign.)
2.9018
0.1642 * LiftWait +
0.2343 * AmountGroomed +
0.0602 * SkiPatrolVisibility +
-0.1193 * FriendlinessHosts
%3!
(b) Interpret each coefficient.
Overall satisfaction increases
]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
(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
Transcribed Image Text: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 2.9018 Liftwait 0.1642 AmountGroomed 0.2343 SkiPatrolVisibility FriendlinessHosts 0.0602 -0.1193 (a) Write the fitted regression equation. (Round your answers to 4 decimal places. Negative values should be indicated by a minus sign.) 2.9018 0.1642 * LiftWait + 0.2343 * AmountGroomed + 0.0602 * SkiPatrolVisibility + -0.1193 * FriendlinessHosts %3! (b) Interpret each coefficient. Overall satisfaction increases ]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 (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
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