Finally, 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                Coef                 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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Finally, 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                Coef                 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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