3. A newspaper report on the results of the American Time Use Survey of 2003 spe

Question

3. A newspaper report on the results of the American Time Use Survey of 2003 speculates that Americans' love of cheese may play a role in the fact that they're getting heavier. If we consider whether people tend to weight more if they eat more cheese, are we considering two single quantitative variables or the relationship between two quantitative variables? Professor Adams of California State University posts Roman Census data on his website, based on research by Arnold Toynbee and Frank Tenney. The data production methods should be questioned, but examination of the scatterplot, with particular attention to outliers, can give us an idea of how the population of the Rornan Republic changed over time. 4. Scatterplot Omitting Outliers a. According to this scatterplot, each year during the represented centries the Roman Republic population increased by about how much? 400,000 300,000 E 200,000 00,000- -500-400-300-200-10 Year (B.C.) A regression on this data might predict what population for the Roman Republic at the birth of Christ (around 0 A.D.)? b.

Explanation / Answer

Question 3

Herw we are considering a relationship between two quantitative variables. We want to know the relationship of weight of any person with change of his/her love towards cheese.

Question 4

(a) As we omitt the outliers, we can see that at

Roman population at 500 B.C. = 100,000

Roman population at 200 B.C. = 310,000

Here i have not taken the value for 100 BC as there is only one value there.

So,per year population change = (3,10,000 - 100,000)/ (500 - 200) = 700 per year

(b) Here the population is changing as per 700 person per year.

So estimated population of Romans at 0 BC = 400000 + 700 * (125 - 0) = 4,87,500

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