The researcher is interested in examining the regression model for knowledge, attitude and practices towards the COFLU-20. The following model was developed to forecast individual practices towards COFLU-20 using knowledge and attitude scores. P = α + β K + δ A where P = Practice towards COFLU-20 scoreK = Knowledge towards COFLU-20 scoreA = Attitude towards COFLU-20 score The data are processed using MINITAB and the output in Exhibit 1 below was obtained: Exhibit 1 The regression equation is ************* Predictor Coeficcient SE t-ratio p Constant 4.755 0.462 10.282 0 Knowledge 0.8 0.039 2.055 0.041 Attitude 0.024 0.6 0.393 0.695 R-sq = 81.5% Analysis of Variance Source DF SS MS F P Regression 2 38.06 19.03 2.284 0.104 Error 297 2474.887 8.333     Total 299 2512.947       (i) Identify the dependent variable(s) and the independent variable(s). (ii) Is δ significant?Show proof of the testing process used to arrive at your decision.State what this means in terms of attitude and practices.  (iii) What does the value of R-sq indicate? Comment on the value of R-sq.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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The researcher is interested in examining the regression model for knowledge, attitude and practices towards the COFLU-20. The following model was developed to forecast individual practices towards COFLU-20 using knowledge and attitude scores.


P = α + β K + δ A


where

P = Practice towards COFLU-20 score
K = Knowledge towards COFLU-20 score
A = Attitude towards COFLU-20 score


The data are processed using MINITAB and the output in Exhibit 1 below was obtained:


Exhibit 1

The regression equation is *************

Predictor Coeficcient SE t-ratio p
Constant 4.755 0.462 10.282 0
Knowledge 0.8 0.039 2.055 0.041
Attitude 0.024 0.6 0.393 0.695

R-sq = 81.5%

Analysis of Variance

Source DF SS MS F P
Regression 2 38.06 19.03 2.284 0.104
Error 297 2474.887 8.333    
Total 299 2512.947      

(i) Identify the dependent variable(s) and the independent variable(s).


(ii) Is δ significant?
Show proof of the testing process used to arrive at your decision.
State what this means in terms of attitude and practices. 


(iii) What does the value of R-sq indicate? Comment on the value of R-sq.

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