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Question
http://www.chegg.com/homework-help/conduct-following-analyses-preference-outdoor-lifestyle-data-chapter-18-problem-5ap-solution-9780132544566-exc
what are the answers to this?
Conduct the following analysis for the preference of the outdoor-lifestyle data given. Recall that:
V1 = preference for an outdoor lifestyle
V2 = enjoying nature
V4 = living in harmony with the environment
V5 = exercising regularly
V6 = meeting other people
a). Calculate the simple correlations between V1 to V6 and interpret the results
b). Run a bivariate regression with preference for an outdoor lifestyle (V1) as the dependent variable and the importance of enjoying nature (V2) as the independent variable. Interpret the results.
Problem
In a pretest, respondents were asked to express their preference for an outdoor lifestyle (V1) using a 7-point scale (1 = not at all prefered, 7 = greatly preferred). They were also asked to indicate the importance of the following variables on a 7-point scale (1 = not important at all, 7 = very important)
V2 = enjoying nature
V3 = relating to the weather
V4 = living in harmony with the environment
V5 = exercising regularly
V6 = meeting other people
The gener of the respondent (V7) was coded as 1 = female and 2 = male. The location of the residence (V8) was coded as 1 = midtown/downtown, 2 = suburbs, and 3 = countryside. The data obtained are given in the previous table.
Using a statistical package of your choice, answer the following questions. In each case, formulate the null and the alternative hypothesis and conduct the appropriate statistical test(s).
1) Does the mean preference for an outdoor lifestye exceed 3.0?
2) Does the mean importance of enjoying nature exceed 3.5?
3) Does the mean preference for an outdoor lifestyle differ for males and females?
4) Does the importance attached to V2 through V8 differ for males and females?
5) Do the respondents attach more importance to enjoying nature than they do relating to the weather?
6) Do the repsondents attach more importance to relating to the weather than they do to meeting other people?
7) Do the respondents attach more importance to living in harmony with the environment than they do to exercising regularly?
V1 V2 V3 V4 V5 V6 V7 V8 7 3 6 4 5 2 1 1 1 1 1 2 1 2 1 1 6 2 5 4 4 5 1 1 4 3 4 6 3 2 1 1 1 2 2 3 1 2 1 1 6 3 5 4 6 2 1 1 5 3 4 3 4 5 1 1 6 4 5 4 5 1 1 1 3 3 2 2 2 2 1 1 2 4 2 6 2 2 1 1 6 4 5 3 5 5 1 2 2 3 1 4 2 1 1 2 7 2 6 4 5 6 1 2 4 6 4 5 3 3 1 2 1 3 1 2 1 4 1 2 6 6 6 3 4 5 2 2 5 5 6 4 4 6 2 2 7 7 4 4 7 7 2 2 2 6 3 7 4 3 2 2 3 7 3 6 4 4 2 2 1 5 2 6 3 3 2 3 5 6 4 7 5 6 2 3 2 4 1 5 4 4 2 3 4 7 4 7 4 6 2 3 6 7 4 2 1 7 2 3 3 6 4 6 4 4 2 3 4 7 7 4 2 5 2 3 3 7 2 6 4 3 2 0 4 6 3 7 2 7 2 3 5 6 2 6 7 2 2 3Explanation / Answer
a). Calculate the simple correlations between V1 to V6 and interpret the results
Using the R programming language, cor function, i have calculated the correlation between V1 to V6.
V1 V2 V3 V4 V5 V6 V7 V8
V1 1.00000000 0.1264498 0.78684003 -0.12439449 0.64683586 0.41591900 -0.01733178 -0.01793219
V2 0.12644984 1.0000000 0.16180617 0.50145883 0.22283484 0.44802670 0.83484711 0.53829026
V3 0.78684003 0.1618062 1.00000000 -0.06813533 0.39454980 0.39760484 0.03910309 0.04045771
V4 -0.12439449 0.5014588 -0.06813533 1.00000000 0.30764820 0.04662097 0.49784389 0.32431613
V5 0.64683586 0.2228348 0.39454980 0.30764820 1.00000000 0.11457599 0.20261022 0.04192582
V6 0.41591900 0.4480267 0.39760484 0.04662097 0.11457599 1.00000000 0.50749960 0.51257861
V7 -0.01733178 0.8348471 0.03910309 0.49784389 0.20261022 0.50749960 1.00000000 0.65144142
V8 -0.01793219 0.5382903 0.04045771 0.32431613 0.04192582 0.51257861 0.65144142 1.00000000
Absolute value of Correlation greater than 0.5 is shown in bold.
Interpretation -
The data shows V1 (preference for an outdoor lifestyle), V3 (relating to the weather) and V5 (exercising regularly) are positively correlated.
Also, the data shows that V2 (enjoying nature) V4 (living in harmony with the environment) and V6 (meeting other people) are positively correlated.
b). Run a bivariate regression with preference for an outdoor lifestyle (V1) as the dependent variable and the importance of enjoying nature (V2) as the independent variable. Interpret the results.
Using R-studio, ran the bivariate regression to get the equation,
V1 = 3.4242 + 0.1324 V2
As the slope is positive, there is positive relation between V1 and V2. With unit increase in V2 (enjoying nature), there is 0.1324 unit increase in V1 (preference for an outdoor lifestyle). Also, for zero value of V2, the value of V1 is 3.4242.
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