The quality of the orange juice produced by a certain manufacturer is constantly monitored. Data collected on the sweetness index of an orange juice sample and amount of water-soluble pectin for 24 production runs at a juice manufacturing plant are shown in the accompanying table. Suppose a manufacturer wants to use simple linear regression to predict the sweetness (y) from the amount of pectin (x). Find and interpret the coefficient of determination, r2, and the coefficient of correlation, r. Find and interpret the coefficient of determination, r2. Select the correct choice below and fill in the answer box within your choice. (Round to three decimal places as needed.) A. The coefficient of determination, r2, is enter your response here. Sample variations in the amount of water-soluble pectin explain 100r2% of the sample variation in the sweetness index using the least squares line. B. The coefficient of determination, r2, is enter your response here. Sample variations in the amount of water-soluble pectin do not explain 100r2% of the sample variation in the sweetness index using the least squares line. Find and interpret the coefficient of correlation, r. Select the correct choice below and fill in the answer box within your choice. (Round to three decimal places as needed.)

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 91E

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Question

The quality of the orange juice produced by a certain manufacturer is constantly monitored. Data collected on the sweetness index of an orange juice sample and amount of water-soluble pectin for 24 production runs at a juice manufacturing plant are shown in the accompanying table. Suppose a manufacturer wants to use simple linear regression to predict the sweetness (y) from the amount of pectin (x). Find and interpret the coefficient of determination,

r2,

and the coefficient of correlation, r.

Find and interpret the coefficient of determination,

r2.

Select the correct choice below and fill in the answer box within your choice.

(Round to three decimal places as needed.)

The coefficient of determination,

r2,

enter your response here.

Sample variations in the amount of water-soluble pectin explain

100r2%

of the sample variation in the sweetness index using the least squares line.