Chapter 14, Problem 28P

BuyFind*arrow_forward*

8th Edition

Frederick J Gravetter + 1 other

ISBN: 9781133956570

Textbook Problem

**a.** One set of 20 pairs of scores, *X* and *Y* values, produces a correlation of *r =* 0.70. If *SS _{Y}* = 150, find the standard error of estimate for the regression line.

**b.** A second set of 20 pairs of *X* and *Y* values produces correlation of *r* = 0.30. If *SS*_{Y} *=* 150, find the standard error of estimate for the regression line.

a.

To determine

**To find:** The standard error of estimate for the regression line.

Explanation

**Given info:**

One set of 20 pairs of scores, *X* and *Y* values, produces a correlation of

**Calculation:**

The general formula for standard error of estimate is,

*Degrees of freedom:*

For calculating the standard error of estimates for the regression equation need to calculate

The SS residual is also known as unpredicted variability.

The formula for SS residual is,

Where r is given as 0.70, so r^{2} is calculated as 0.49, it is because r^{2} is the squared correlation and SS_{y} is given as 150

**b.**

To determine

**To find:** The standard error of estimate for the regression line.

Sect-14.1 P-1LCSect-14.1 P-2LCSect-14.1 P-3LCSect-14.1 P-4LCSect-14.2 P-1LCSect-14.2 P-2LCSect-14.2 P-3LCSect-14.3 P-1LCSect-14.3 P-2LCSect-14.4 P-1LC

Sect-14.4 P-2LCSect-14.4 P-1LCASect-14.5 P-1LCSect-14.5 P-2LCSect-14.5 P-3LCSect-14.5 P-1LCASect-14.5 P-2LCASect-14.6 P-1LCSect-14.6 P-2LCSect-14.6 P-3LCSect-14.6 P-4LCSect-14.6 P-1LCASect-14.6 P-1LCBSect-14.6 P-2LCBSect-14.6 P-3LCBSect-14.6 P-1LCCCh-14 P-1PCh-14 P-2PCh-14 P-3PCh-14 P-4PCh-14 P-5PCh-14 P-6PCh-14 P-7PCh-14 P-8PCh-14 P-9PCh-14 P-10PCh-14 P-11PCh-14 P-12PCh-14 P-13PCh-14 P-17PCh-14 P-18PCh-14 P-19PCh-14 P-20PCh-14 P-21PCh-14 P-22PCh-14 P-23PCh-14 P-24PCh-14 P-25PCh-14 P-26PCh-14 P-27PCh-14 P-28PCh-14 P-29P

Statistics for The Behavioral Sciences (MindTap Course List)

Essentials of Statistics for The Behavioral Sciences (MindTap Course List)

Understanding Basic Statistics

Probability and Statistics for Engineering and the Sciences

Essentials Of Statistics

Applied Calculus

Elements Of Modern Algebra

Calculus: Early Transcendentals

Calculus: Early Transcendental Functions (MindTap Course List)

Multivariable Calculus

Single Variable Calculus: Early Transcendentals

Intermediate Algebra

Mathematical Applications for the Management, Life, and Social Sciences

Single Variable Calculus

Contemporary Mathematics for Business & Consumers

Calculus: An Applied Approach (MindTap Course List)

Elementary Technical Mathematics

Precalculus: Mathematics for Calculus (Standalone Book)

Mathematical Excursions (MindTap Course List)

Calculus (MindTap Course List)

Calculus: Early Transcendental Functions

Finite Mathematics and Applied Calculus (MindTap Course List)

Finite Mathematics for the Managerial, Life, and Social Sciences

Trigonometry (MindTap Course List)

Single Variable Calculus: Early Transcendentals, Volume I

Calculus of a Single Variable

Finite Mathematics

Elementary Geometry For College Students, 7e

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

Introduction To Statistics And Data Analysis

Study Guide for Stewart's Multivariable Calculus, 8th

Elementary Geometry for College Students

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th