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 | 1.12 |
16 | 0.84 |
21 | 0.61 |
27 | 0.50 |
30 | 0.47 |
(b)
Does a simple linear regression model appear to be appropriate? Explain.
Yes, the scatter diagram suggests that there is a linear relationship.
No, the scatter diagram suggests that there is no relationship.
No, the scatter diagram suggests that there is a curvilinear 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 = ____
(b) Answer: No, the scatter diagram suggests that there is a curvilinear relationship.
(c)
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