a. Explanation Calculation: A regression output is given. The X variable is state SAT participation and Y be the state average SAT. Regression: Suppose x 1 ... x n be n sample values of independent variable and the corresponding dependent variable values are y 1 ... y n . The slope and the intercept of ordinary least square can be defined as b 0 = y ¯ − b 1 x ¯ and b 1 = S S x y S S x x . Where, S S x x , S S y y , S x y are the sum of squares due to x, y and xy respectively. x ¯ and y ¯ are the sample mean of the independent and dependent variable respectively. The total sum of squares is denoted as, S S T = ∑ i = 1 n ( y i − y ¯ ) 2 . The regression sum of squares is denoted as, S S R = ∑ i = 1 n ( y ^ i − y ¯ ) 2 . The error sum of squares is denoted as, S S E = ∑ i = 1 n ( y i − y ^ i ) 2 b. To determine Explain whether the relation is a strong relation or not. c. To determine Suggest the reason of existence of the relationship.

6th Edition

ISBN: 9781259957598

Author: DOANE

Publisher: RENT MCG

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Question

Chapter 12, Problem 77CE

To determine

Explain the relationship between state average SAT score and state SAT participation.

To determine

Explain whether the relation is a strong relation or not.

To determine

Suggest the reason of existence of the relationship.

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Chapter 12, Problem 76CE

Chapter 12, Problem 78CE

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Chapter 12 Solutions

APPLIED STAT.IN BUS.+ECONOMICS

Ch. 12.1 - For each sample, do a test for zero correlation....Ch. 12.1 - Instructions for Exercises 12.2 and 12.3: (a) Make...Ch. 12.1 - Prob. 3SE Ch. 12.1 - Prob. 4SE Ch. 12.1 - Instructions for exercises 12.412.6: (a) Make a...Ch. 12.1 - Prob. 6SE Ch. 12.2 - (a) Interpret the slope of the fitted regression...Ch. 12.2 - (a) Interpret the slope of the fitted regression...Ch. 12.2 - Prob. 9SE Ch. 12.2 - (a) Interpret the slope of the fitted regression...

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