Provide a 95% confidence interval for ρ?

Nutrition

The assessment of diet is an important exposure for many disease outcomes. However, there is often much imprecision in dietary recall. In one study, 70- to 79-yearold women were asked about the preschool diet of their children (ages 2ˆ’4) using a food frequency questionnaire (FFQ). A unique aspect of the study is that simultaneous diet record data exist on the same children recorded in real time by their mothers when they were ages 2ˆ’4 and their mothers were 20 to 40 years old. The data in Table 11.36 were available on average servings of margarine per week.

Table 11.36: Margarine intake assessed by two different recording methods (servings per week, [n = 12])

 

The Pearson correlation between intake from the two recording methods was 0.448. Assume that FFQ and DR margarine intake are normally distributed.

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ID FFQ DR 340 399 0.5 466 502 541 554 2.5 558 3 605 0.5 611 21 3.7 618 2.5 653 21 4.1 707 8.5