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negative? of children under age 5, percent who are underweight safe water (% of population) 3. Some researchers believed that there is association between the size of plates people use and the amount of food people eat. Image that a researcher recorded the diameter of dimer plates (measured in millimeters) and the amount of food (measured in grams) people consumed. She found that the correlation between these two was .48. Had she measured the dinner plates in cm instead, what would the correlation have been? 4. Body mass index (BMI) is a measure of body composition, which can be used to assess i someone is underweight, healthy weight, overweight but not obese, or obese. It is calculated as a person's weight (measured in Kilograms) divided by his/her height (measured in meters) squared. We recorded 5 students' BMI values and the numbers of hours they exercised in the past week, as following 5. The table shows the life expectancy for an individual born in the United States in certain years. a. Calculate the least squares line. Put the equation in the form of: y = a + bx b. Draw a scatter plot and nd the correlation coefcient. Is it signicant? c. Find the estimated life expectancy for an individual born in 1950 and for one bon in 1982. d. Draw the least squares line on your scatterplot. Is there a linear relationship between the year of birth and life expectancy? e. Are there any outliers in the above data? f. Using the least squares line, nd the estimated life expectancy for an individual born in 1850. g. What is the slope of the least-squares (best-t) line