For Exercises 34–39, apply the Strategy for Building a Multiple Regression Model by performing the following steps, using level of significance :

  1. Step 1 Perform the test for significance of the overall regression.
  2. Step 2 Perform the tests for the individual predictors. If at least one of the predictors is not significant, then eliminate the variable with the largest -value from the model. Repeat Step 2 until all remaining predictors are significant.
  3. Step 3 Verify the assumptions.
  4. Step 4 Report and interpret your final model. Report and interpret the coefficients, the standard error of the estimate , and the adjusted coefficient of determination .

Question 13.136

bestdating

34. Best Places for Dating. Sperling's Best Places published the list of best places for dating in America for 2010. Table 6 shows the top 10 places, along with the overall dating score () and a set of predictor variables.

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Table 13.42: TABLE 6 Best places for dating in America
City = Overall
dating
score
Percentage
18–24 years
old
Percentage
18–24 years
and single
Online
dating
score
Austin 100.0 13.40% 81.20% 77.8
Colorado
Springs
88.7 10.50% 74.20% 88.9
San Diego 84.0 11.30% 79.40% 77.4
Raleigh 80.7 11.60% 82.90% 79.2
Seattle 78.7 9.00% 83.90% 100.0
Charleston 78.7 11.20% 82.70% 66.9
Norfolk 77.0 11.20% 75.60% 82.9
Ann Arbor 75.5 12.90% 90.30% 51.1
Springfield 75.2 11.70% 89.80% 63.5
Honolulu 75.2 10.10% 82.30% 50.2