a. Explanation Calculation: The fitted regression line is given as, Y = 55.2 + 0.73 X , where X is the total free throws attempted and Y is the total free throws made. The R 2 = 0.874 and s y x = 53.2 . The range of X 1,620 to 2,000. 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 b. To determine Explain whether the intercept is meaningful or not. c. To determine Find the 95% prediction interval for Y when X = 2 , 000 .

Gen Combo Ll Applied Statistics In Business & Economics; Connect Access Card

6th Edition

ISBN: 9781260260632

Author: David Doane, Lori Seward Senior Instructor of Operations Management

Publisher: McGraw-Hill Education

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Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as p…

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Chapter 12, Problem 65CE

To determine

Find the expected number of free throws made for a team that shoots 2,000 free throws.

To determine

Explain whether the intercept is meaningful or not.

To determine

Find the 95% prediction interval for Y when X=2,000 .

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Chapter 12, Problem 64CE

Chapter 12, Problem 66CE

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Chapter 12 Solutions

Gen Combo Ll Applied Statistics In Business & Economics; Connect Access Card

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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Find the expected number of free throws made for a team that shoots 2,000 free throws.

Solution Summary: The author calculates the expected number of free throws made for a team that shoots 2,000. The slope and intercept of ordinary least square can be defined.

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Find the expected number of free throws made for a team that shoots 2,000 free throws.

Explain whether the intercept is meaningful or not.

Find the 95% prediction interval for Y when X=2,000 .

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Chapter 12 Solutions