math

Homework 2 Below is some data about yearly wine consumption (litres of alcohol from drinking wine per person) and heart disease deaths (deaths per 100,000 people) in 19 countries.

From: Statistics, Concepts, and Controversies (1997). Moore, D. S. Freeman, New York. p 314.

1. First, look at the numbers in the table and decide whether there is a relationship between alcohol (wine) consumption and heart attacks. Describe in simple language what this says about wine and heart disease.

2. Make a scatter plot of the data. That is, draw two axes and label one axis “Alcohol consumption” and the other “Heart attacks.” Put numbers on the axes so that all the data in the table can be represented. Then plot the point for each country.

3. Looking at the scatter plot, do you think that there is a relationship between alcohol (wine) consumption and heart disease deaths. Describe in simple language what the relationship, if any, says about wine and heart disease.

4. Does this relationship give good evidence that drinking wine causes a reduction in heart disease deaths? Why or why not?

5. Do you think it is helpful to make the scatter plot or can you tell the same thing by looking at the table?

6. (Review Problem) Burning Candles: Ely is worried about the electricity going out, and he is trying to decide which candles to buy. There are two kinds at the same price. The red ones are 30 cm. long and burn at an average rate of 5.5 cm per hour. The white ones are only 19 cm long, but they are thicker and burn at a rate of 3.3 cm per hour. Both will burn all the way to the bottom.

a. Which candle will burn longer? How much longer? Show how you know. b. After how many hours will the two candles be the same height? Show two

methods to figure this out.