The accompanying values are a set of data for y, the amount of money (in thousands of dollars) contributed to the alumni association at a certain university from a certain graduate class, and x, the number of years following graduation for that class. Complete parts (a) through (c) below. Click the icon to view the contribution data. (a) Fit a regression model of the type Hylx = ẞo +ẞ1×1. y= 587 + (428) ×₁ (Round to the nearest integer as needed.) (b) Fit a quadratic model of the type µyx = 0 +ß₁×₁ +B₁₁ײ. ŷ= 1180 + (192) ×₁ + (35.2) × (Round the x-coefficient to one decimal place as needed. Round all other constants and coefficients to the nearest integer as needed.) (c) Determine which of the models in (a) or (b) is preferable. Use s², R², and the PRESS residuals to support the decision. Compute s² for each model. Model s² Hylx =Bo+B₁x₁ Hylx = Po +B₁x₁ +B₁₁x² 1104727 (Round to the nearest integer as needed.) Compute R² for each model. 430563 Model R² Hylx =Bo+B₁x1 Hypx = Bo+B₁x₁ + B₁₁x² (Round to three decimal places as needed.) Contribution Data y x y 812.48 1 2752.00 11 824.50 2 4391.50 12 1210.50 3 5580.50 13 1348.00 4 5549.00 1301.00 8 6089.00 2566.50 9 5763.00 2529.50 10 8901.00 1567 14
The accompanying values are a set of data for y, the amount of money (in thousands of dollars) contributed to the alumni association at a certain university from a certain graduate class, and x, the number of years following graduation for that class. Complete parts (a) through (c) below. Click the icon to view the contribution data. (a) Fit a regression model of the type Hylx = ẞo +ẞ1×1. y= 587 + (428) ×₁ (Round to the nearest integer as needed.) (b) Fit a quadratic model of the type µyx = 0 +ß₁×₁ +B₁₁ײ. ŷ= 1180 + (192) ×₁ + (35.2) × (Round the x-coefficient to one decimal place as needed. Round all other constants and coefficients to the nearest integer as needed.) (c) Determine which of the models in (a) or (b) is preferable. Use s², R², and the PRESS residuals to support the decision. Compute s² for each model. Model s² Hylx =Bo+B₁x₁ Hylx = Po +B₁x₁ +B₁₁x² 1104727 (Round to the nearest integer as needed.) Compute R² for each model. 430563 Model R² Hylx =Bo+B₁x1 Hypx = Bo+B₁x₁ + B₁₁x² (Round to three decimal places as needed.) Contribution Data y x y 812.48 1 2752.00 11 824.50 2 4391.50 12 1210.50 3 5580.50 13 1348.00 4 5549.00 1301.00 8 6089.00 2566.50 9 5763.00 2529.50 10 8901.00 1567 14
Chapter4: Linear Functions
Section4.3: Fitting Linear Models To Data
Problem 34SE: For the following exercises, consider this scenario: The profit of a company decreased steadily...
Question
I need to compute R^2 for each model and compute the press for each model too in part c please
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps
Recommended textbooks for you
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning