A study of emergency service facilities investigated the relationship between the number of facilities and the average distance traveled to provide the emergency service. The following table gives the data collected. Number of Facilities Average Distance (miles) 9 1.65 11 1.11 16 0.83 21 0.62 27 0.51 30 0.48 (a) Develop a scatter diagram for these data, treating average distance traveled as the dependent variable. A scatter diagram has 6 points. The horizontal axis ranges from 0 to 1.8 and is labeled: Distance. The vertical axis ranges from 5 to 35 and is labeled: Number. Moving from left to right, the leftmost point is at approximately (0.48, 30), with the next five points extending downward. The points decrease steeply at first and then level off.   A scatter diagram has 6 points. The horizontal axis ranges from 5 to 35 and is labeled: Number. The vertical axis ranges from 0 to 1.8 and is labeled: Distance. Moving from left to right, the leftmost point is at approximately (9, 0.48), with the next five points extending upward. The points increase slowly at first and then steepen.   A scatter diagram has 6 points. The horizontal axis ranges from 5 to 35 and is labeled: Number. The vertical axis ranges from 0 to 1.8 and is labeled: Distance. Moving from left to right, the leftmost point is at approximately (9, 1.65), with the next five points extending downward. The points decrease steeply at first and then level off.   A scatter diagram has 6 points. The horizontal axis ranges from 5 to 35 and is labeled: Number. The vertical axis ranges from 0 to 1.8 and is labeled: Distance. Moving from left to right, the leftmost point is at approximately (9, 1.45), with the next five points extending downward. The points decrease steeply at first and then level off. (b) Does a simple linear regression model appear to be appropriate? Explain. -No, the scatter diagram suggests that there is a curvilinear relationship. -No, the scatter diagram suggests that there is no relationship.    -Yes, the scatter diagram suggests that there is a linear relationship.   (c)Develop an estimated regression equation for the data of the form  ŷ = b0 + b1x + b2x2: a second-order model with one predictor variable. (Round your numerical values to four decimal places.) ŷ = 54.8238 is not correcnt   What is the right answer???

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 22SGR
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A study of emergency service facilities investigated the relationship between the number of facilities and the average distance traveled to provide the emergency service. The following table gives the data collected.
Number of
Facilities
Average
Distance
(miles)
9 1.65
11 1.11
16 0.83
21 0.62
27 0.51
30 0.48
(a)
Develop a scatter diagram for these data, treating average distance traveled as the dependent variable.
A scatter diagram has 6 points. The horizontal axis ranges from 0 to 1.8 and is labeled: Distance. The vertical axis ranges from 5 to 35 and is labeled: Number. Moving from left to right, the leftmost point is at approximately (0.48, 30), with the next five points extending downward. The points decrease steeply at first and then level off.
 
A scatter diagram has 6 points. The horizontal axis ranges from 5 to 35 and is labeled: Number. The vertical axis ranges from 0 to 1.8 and is labeled: Distance. Moving from left to right, the leftmost point is at approximately (9, 0.48), with the next five points extending upward. The points increase slowly at first and then steepen.
 
A scatter diagram has 6 points. The horizontal axis ranges from 5 to 35 and is labeled: Number. The vertical axis ranges from 0 to 1.8 and is labeled: Distance. Moving from left to right, the leftmost point is at approximately (9, 1.65), with the next five points extending downward. The points decrease steeply at first and then level off.
 
A scatter diagram has 6 points. The horizontal axis ranges from 5 to 35 and is labeled: Number. The vertical axis ranges from 0 to 1.8 and is labeled: Distance. Moving from left to right, the leftmost point is at approximately (9, 1.45), with the next five points extending downward. The points decrease steeply at first and then level off.
(b)
Does a simple linear regression model appear to be appropriate? Explain.
-No, the scatter diagram suggests that there is a curvilinear relationship.
-No, the scatter diagram suggests that there is no relationship.   
-Yes, the scatter diagram suggests that there is a linear relationship.
 
(c)Develop an estimated regression equation for the data of the form 
ŷ = b0 + b1x + b2x2: a second-order model with one predictor variable. (Round your numerical values to four decimal places.)
ŷ = 54.8238 is not correcnt 
 What is the right answer???
 
 
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