Exhibit 1 The regression equation is Predictor Coef SE t-ratio Constant 4.755 0.462 10.282 Knowledge Attitude 0.8 0.039 2.055 0.041 0.024 0.6 0.393 0.695 R-sq = 81.5% Analysis of Variance SOURCE DF MS Regression Error 2 38.06 19.03 2.284 0.104 297 2474.887 8.333 Total 299 2512.947

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter4: Equations Of Linear Functions
Section4.6: Regression And Median-fit Lines
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The world is currently being adversely affected by the COFLU-20 pandemic. Persons are required to take certain measures to prevent the spread of this virus; however, persons’ knowledge, attitudes and practices towards COFLU-20 may influence their adherence to these measures.

A researcher decided to evaluate the knowledge, attitudes and practices towards COFLU-20 of adults living in the English-speaking Caribbean. To gather the data, the researcher developed an online survey consisting of four (4) sections. Section A gathered demographic data on the respondents including their gender, marital status, highest level of education attained, occupation and country of residence. Section B consisted of 15 questions that gathered data on the respondents’ knowledge of COFLU-20. Section C consisted of 10 questions that gathered data on the respondents’ attitudes towards COFLU-20. The final section, Section D, consisted of 5 questions
that gathered information on the respondents’ practices against COFLU-20.

In order to recruit respondents for this survey, the researcher sent a link to the online survey to persons in his network via email and social media. After receiving 300 responses, the researcher closed down the online survey and deactivated the link to the survey.

You are a student pursuing an introductory Statistics course. The researcher has asked that you assist him in summarizing, analyzing and interpreting the information gathered, by answering the questions below.

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:

(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.

Exhibit 1
The regression equation is
Predictor
Coef
SE
t-ratio
Constant
4.755
0.462
10.282
Knowledge
Attitude
0.8
0.039
2.055
0.041
0.024
0.6
0.393
0.695
R-sq = 81.5%
Analysis of Variance
SOURCE
DF
MS
Regression
Error
2
38.06
19.03
2.284
0.104
297
2474.887
8.333
Total
299
2512.947
Transcribed Image Text:Exhibit 1 The regression equation is Predictor Coef SE t-ratio Constant 4.755 0.462 10.282 Knowledge Attitude 0.8 0.039 2.055 0.041 0.024 0.6 0.393 0.695 R-sq = 81.5% Analysis of Variance SOURCE DF MS Regression Error 2 38.06 19.03 2.284 0.104 297 2474.887 8.333 Total 299 2512.947
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