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It is hypothesized that there are fluctuations in norepinephrine (NE) levels which accompany fluctuations in affect with bipolar affective disorder (manic-depressive illness). Thus, during depressive states, NE levels drop; during manic states, NE levels increase. To test this relationship, researchers measured the level of NE by measuring the metabolite 3-methoxy-4-hydroxyphenylglycol (MHPG in micro gram per 24 hour) in the patient’s urine experiencing varying levels of mania/depression. Increased levels of MHPG are correlated with increased metabolism (thus higher levels) of central nervous system NE. Levels of mania/depression were also recorded on a scale with a low score indicating increased mania and a high score increased depression. The data is provided below.
- Compute the correlation coefficient.
- What does this statistic mean concerning the relationship between MHPG levels and affect?
- What percent of the variability is accounted for by the relationship between the two variables?
- What would be the slope and y-intercept for a regression line based on this data?
- What would be the predicted affect score if the individual had an MHPG level of 1100? of 950? of 700?