4.) On the next page is a correlation matrix reproduced in SPSS, based on real d

Question

4.) On the next page is a correlation matrix reproduced in SPSS, based on real data from a study of low-income mothers. If you have familiarity with SPSS (e.g., if you have read the Chapter Supplement on the book’s website), answer the following questions with respect to this matrix:

a. How many respondents completed the SF-12 scale?

b. What is the correlation between body mass index (BMI) and scores on the physical health subscale of the SF12?

c. Is the correlation between the physical health and mental health subscale scores significant at conventional levels?

d. What is the probability that the correlation between BMI and number of doctor visits in the previous year is simply a function of chance?

e. With which variable(s) is BMI correlated at the 0.01 level of significance?

f. Explain what the correlation between the physical and mental health scale scores means.

SF12: Physical Health Component Score

Pearson

Correlation Sig. (2-tailed)

N

1.000

997

.131**

.000

967

-.316**

.000

890

-.133**

.000

890

Pearson

Correlation

Sig, (2-tailed)

N

.131**

.000

967

1.000

970

-.134**

.000

866

-.078*

.022

866

Pearson

Correlation

Sig.(2-tailed)

N

-.316**

.000

890

-.134**

.000

866

1.000

893

.168**

.000

893

Pearson

Correlation

Sig. (2-tailed)

N

-.133**

.000

890

-.078*

.022

866

.168**

.000

893

1.000

893

Number of Doctor Visits, past 12 mo Body Mass Index

SF12: Physical Health Component Score

SF12: Mental Health Component Score # of doctor visits, Past 12 mo

Pearson

Correlation Sig. (2-tailed)

N

1.000

997

.131**

.000

967

-.316**

.000

890

-.133**

.000

890

Body Mass Index

Pearson

Correlation

Sig, (2-tailed)

N

.131**

.000

967

1.000

970

-.134**

.000

866

-.078*

.022

866

SF12: Physical Health Component Score

Pearson

Correlation

Sig.(2-tailed)

N

-.316**

.000

890

-.134**

.000

866

1.000

893

.168**

.000

893

SF12: Mental Health Component Score

Pearson

Correlation

Sig. (2-tailed)

N

-.133**

.000

890

-.078*

.022

866

.168**

.000

893

1.000

893

Explanation / Answer

a) There are 893 respondents who completed the SF-12 scale.

b) the correlation between body mass index (BMI) and scores on the physical health subscale of the SF12 is -0.134

c) the correlation between the physical health and mental health subscale scores 0.168 and the corrosponding pvalue is 0.000 which indicates that there is a significant correlation between the physical health and mental health subscale scores.

d) the probability that the correlation between BMI and number of doctor visits in the previous year is simply a function of chance is 0.000

e) At the 0.01 level of significance the BMI is correlated significantly with Number of Doctor Visits, past 12 months and  SF12: Physical Health Component Score.

f) the correlation between the physical and mental health scale scores 0.168 which means there is a positive linear relationship between this two variables.

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