In general, people tend to live longer in countries that have a greater supply of food. Listed in the table below is the 2013 daily calorie supply and 2010–2015 life expectancy at birth for 10 randomly selected countries.

(a) Find the correlation coefficient. Do the data seem to fit a straight line?
(b) Draw a scatterplot of the data. Combining this with your results from part (a), do the data seem to fit a straight line?
(c) Find the equation of the least squares line.
(d) Use your answer from part (c) to predict the life expectancy in Canada, which has a daily calorie supply of 3494. Compare your answer with the actual value of 81.77 years.
(e) Briefly explain why countries with a higher daily calorie supply might tend to have a longer life expectancy. Is this trend likely to continue to higher calorie levels? Do you think that an American who eats 5000 calories a day is likely to live longer than one who eats 3600 calories? Why or why not?

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Country Belize Cambodia France India Mexico New Zealand Peru Sweden Tanzania United States Calories (x) Life Expectancy (v) 2751 69.76 2477 67.61 3482 81.89 2459 67.58 3072 76.48 3137 81.32 2700 74.16 3179 81.89 2208 62.78 3682 78.88