Researchers evaluated the extent to which the duration of clinical supervision affects social worker performance. They collected data on the number of hours of clinical supervision received by each of a group of 20 workers. They also randomly selected three cases handled by each of the workers. These cases were evaluated by experienced social workers on a structured rating scale. Ratings could range from 0 to 100, with higher ratings representing more competent work. The cases with the highest and lowest ratings were dropped for each worker. The rating for the case with the middle rating became the worker's competency score.Data were collected, and a regression analysis was conducted for the 20 workers using the hours of clinical supervision to predict social workers’ performance with the following results:- Sum of Squares Total, SST = 3884.550- Sum of Squares due to Regression, SSR = 1413.833- Sum of Squares Error, SSE = 2470.717- Prediction Equation: Ŷ = 9.232 + 0.817XFind the standard error of the estimate.

Given Sample Size = 20 Standard Error of the Estimate :

Sum of Squares Total, SST = 3884.550 %3D Sum of Squares due to Regression, SSR = 1413.833 %3D Sum of Squares Error, SSE = 2470.717 Prediction Equation: Ý = 9.232 + 0.817X %3D Find the standard error of the estimate.

Sum of Squares Total, SST = 3884.550 %3D Sum of Squares due to Regression, SSR = 1413.833 %3D Sum of Squares Error, SSE = 2470.717 Prediction Equation: Ý = 9.232 + 0.817X %3D Find the standard error of the estimate.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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 predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.

Question

Researchers evaluated the extent to which the duration of clinical supervision affects social worker performance. They collected data on the number of hours of clinical supervision received by each of a group of 20 workers. They also randomly selected three cases handled by each of the workers. These cases were evaluated by experienced social workers on a structured rating scale. Ratings could range from 0 to 100, with higher ratings representing more competent work. The cases with the highest and lowest ratings were dropped for each worker. The rating for the case with the middle rating became the worker's competency score.

Data were collected, and a regression analysis was conducted for the 20 workers using the hours of clinical supervision to predict social workers’ performance with the following results:

- Sum of Squares Total, SST = 3884.550
- Sum of Squares due to Regression, SSR = 1413.833
- Sum of Squares Error, SSE = 2470.717
- Prediction Equation: Ŷ = 9.232 + 0.817X

Find the standard error of the estimate.

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