Homework Help is Here – Start Your Trial Now!
Math
Statistics
Which model would you select? Explain your choice and the criteria used to reach your decision.

Which model would you select? Explain your choice and the criteria used to reach your decision.

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter2: Exponential, Logarithmic, And Trigonometric Functions
Section2.CR: Chapter 2 Review
Problem 111CR: Respiratory Rate Researchers have found that the 95 th percentile the value at which 95% of the data...
See similar textbooks
icon
Related questions
Question

Please anwser by hand!

14.53 The article "The Analysis and Selection of Variables in Linear Regression" (Biometrics [1976]: 1- 49) reports on an analysis of data taken from issues of Motor Trend magazine. The dependent variable y was gas mileage; there were n = 32 observations; and the inde- pendent variables were x₁ = engine type (1 = straight, 0 = V), x₂ = number of cylinders, x3 = transmission type (1 = manual, 0 = automatic), x4 = number of transmission speeds, x, = engine size, x6 = horsepower, x = number of carburetor barrels, xg = final drive ratio, x9 = weight, and x₁0 = quarter-mile time. The R² and adjusted R² values are given in the accompanying table for the best model using k predictors for k = 1, ..., 10. Which model would you select? Explain your choice and the criteria used to reach your decision. X10 k 1 2 3 4 5 6 7 8 9 10 Variables Included X2, X9 X3, X9, X10 X3, X6 X9, X10 X3, X5, X6, X9, X10 X3, X5, X6 X8, X, X10 X3 X4 X5, X6, X8, X9, X10 X3 X4 X5, X6, X7, X8, X9, X10 X1, X3, X4, X5, X6 X7, X8, X9, X10 All independent variables R² .756 .833 .852 .860 .866 .869 .870 .871 .871 .871 Adjusted R² .748 .821 .836 .839 .840 .837 .832 .826 .818 .809
Transcribed Image Text:14.53 The article "The Analysis and Selection of Variables in Linear Regression" (Biometrics [1976]: 1- 49) reports on an analysis of data taken from issues of Motor Trend magazine. The dependent variable y was gas mileage; there were n = 32 observations; and the inde- pendent variables were x₁ = engine type (1 = straight, 0 = V), x₂ = number of cylinders, x3 = transmission type (1 = manual, 0 = automatic), x4 = number of transmission speeds, x, = engine size, x6 = horsepower, x = number of carburetor barrels, xg = final drive ratio, x9 = weight, and x₁0 = quarter-mile time. The R² and adjusted R² values are given in the accompanying table for the best model using k predictors for k = 1, ..., 10. Which model would you select? Explain your choice and the criteria used to reach your decision. X10 k 1 2 3 4 5 6 7 8 9 10 Variables Included X2, X9 X3, X9, X10 X3, X6 X9, X10 X3, X5, X6, X9, X10 X3, X5, X6 X8, X, X10 X3 X4 X5, X6, X8, X9, X10 X3 X4 X5, X6, X7, X8, X9, X10 X1, X3, X4, X5, X6 X7, X8, X9, X10 All independent variables R² .756 .833 .852 .860 .866 .869 .870 .871 .871 .871 Adjusted R² .748 .821 .836 .839 .840 .837 .832 .826 .818 .809
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS