a. Explanation The number of year of study English and language arts and the corresponding SAT score are given in the following table. Calculation: Let years of study be the variable x and the SAT score be y . The correlation coefficient ( r ) is given by the formula, r = 1 n − 1 ∑ ( x − x ¯ s x ) ( y − y ¯ s y ) Where s x and s y is the standard deviation of x and y . The average number of years and average score should be calculated to find the correlation coefficient. x ¯ = 0.5 + 1.0 + 2.0 + 3.0 + 4.0 5 = 10.5 5 x ¯ = 2.1 and y ¯ = 419 + 444 + 463 + 456 + 498 5 = 2280 5 y ¯ = 456 The standard deviations are found to be, s x = 1.432 and s y = 28.8 Then, a table should be constructed to calculate r as follows. x y ( x − x ¯ s x ) ( y − y ¯ s y ) ( x − x ¯ s x ) ( y − y ¯ s y ) 0.5 419 − 1.11749 − 1.28313 1.433883 1 b. To determine To graph: The residual plot for the given data set and check the linearity of the plot. c. To determine To predict: The mean SAT score for 2.5 years of study.

Connect Hosted by ALEKS Access Card or Elementary Statistics

3rd Edition

ISBN: 9781260373752

Author: William Navidi Prof., Barry Monk Professor

Publisher: McGraw-Hill Education

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Chapter 4, Problem 9RE

To determine

To calculate: The least-square regression line of the given data set.

To determine

To graph: The residual plot for the given data set and check the linearity of the plot.

To determine

To predict: The mean SAT score for 2.5 years of study.

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Chapter 4, Problem 8RE

Chapter 4, Problem 10RE

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Ch. 4.1 - In Exercises 9-12, fill in each blank with the...Ch. 4.1 - In Exercises 9-12, fill in each blank with the...Ch. 4.1 - In Exercises 9-12, fill in each blank with the...Ch. 4.1 - In Exercises 9-12, fill in each blank with the...Ch. 4.1 - Prob. 13E Ch. 4.1 - Prob. 14E Ch. 4.1 - In Exercises 13-16, determine whether the...Ch. 4.1 - In Exercises 13-16, determine whether the...Ch. 4.1 - In Exercises 17-20, compute the correlation...Ch. 4.1 - In Exercises 17-20, compute the correlation...

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The least-square regression line of the given data set.

Solution Summary: The author explains the least-square regression line of the given data set. The correlation coefficient is given by the formula, r=1n1.

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To calculate: The least-square regression line of the given data set.

To graph: The residual plot for the given data set and check the linearity of the plot.

To predict: The mean SAT score for 2.5 years of study.

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Chapter 4 Solutions