A student (just like you) is researching car loans issued at a local bank. She gathered a sample of 200 to determine if there is a relationship between the loan amount, length of the loan, and interest rate. The regression results are in the table below. Which model is more suitable for prediction and what is the best fit reason? Variable Model 1 Model 2 Constant 114.325 110.54   0.000 0.000 Interest Rate 106.505 108.650   (0.000) (0.000) Loan Length 0.2074 0.3290   (0.000) (0.006) Interest × Loan NA −0.1430     (0.0005) Adjusted R2 0.2178 0.2089       Model 1 is the most suitable because of the higher adjusted R2 value.     Model 2 is the most suitable because of the lower adjusted R2 value.     Neither provide enough results data to predict the model or reasoning.     Model 2 is the most suitable because of the p-value variance.

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
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ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter4: Writing Linear Equations
Section: Chapter Questions
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  1. A student (just like you) is researching car loans issued at a local bank. She gathered a sample of 200 to determine if there is a relationship between the loan amount, length of the loan, and interest rate. The regression results are in the table below. Which model is more suitable for prediction and what is the best fit reason?

    Variable Model 1 Model 2
    Constant 114.325 110.54
      0.000 0.000
    Interest Rate 106.505 108.650
      (0.000) (0.000)
    Loan Length 0.2074 0.3290
      (0.000) (0.006)
    Interest × Loan NA −0.1430
        (0.0005)
    Adjusted R2 0.2178 0.2089
     
       

    Model 1 is the most suitable because of the higher adjusted R2 value.

       

    Model 2 is the most suitable because of the lower adjusted R2 value.

       

    Neither provide enough results data to predict the model or reasoning.

       

    Model 2 is the most suitable because of the p-value variance.

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