3. Below is a correlation matrix produced in SPSS, based on real data from a study of low-income mothers. Please 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 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 .01 level of significance? f. Explain what the correlation between the physical and mental health scale scores means. Correlations SF12: SF12: Physical Mental Number of Health Health Doctor Visits, Body Mass Component Component Past 12 mo Index Score Score Number of doctor Pearson 1.000 .131*# -.316** .133*# visits, Past 12 mo Correlation Sig. (2-tailed) 000 000 000 N 997 967 890 890 Body Mass Index Pearson .131* * 1.000 -.134** -.078* Correlation Sig. (2-tailed) .000 000 022 N 967 970 866 866 SF12: Physical Health Pearson -.316** -.134*# 1.000 168*# Component Score Correlation Sig. (2-tailed) 000 000 000 N 890 866 893 893 SF12: Mental Health Pearson -.133*# -.078* . 168* * 1.000 Component Score Correlation Sig. (2-tailed) .000 022 000 N 890 866 893 893 * *Correlation is significant at the 0.01 level (2-tailed). *Correlation is significant at the 0.05 level (2-tailed)