PPS 4(Math 2565)
Problem 7.15: Does how long children remain at the lunch table help predict how
much they eat? The table gives data on 20 toddlers observed over several months at
a nursery school. ‘Time” is the average number of minutes a child spent at the table
when lunch was served. “calories” is the average number of calories the child
consumed during lunch, calculated from careful observation of what the child ate
(a) Find the correlation for these data.
(b) Suppose we were to record time at the table in hours rather than in minutes.
How would the correlation change? Why?
(c) Write a sentence or two explaining what this correlation means for these
data. Remember to write about food consumption by toddlers rather than
about correlation coefficients.
(d) One analyst concluded “ It is clear from this correlation that toddlers who
spend more time at the table eat less. Evidently something about being at the
table causes them to lose their appetites. “Explain why this explanation is not
appropriate conclusion from what we know about the data.
Problem 7.33: People who responded to a July 2004 Discovery Channel poll
named the 10 best roller coasters in the United States. The table below shows the
length of the initial drop (in feet) and the duration of the ride ( in seconds). What do these data indicate about the height of a roller coaster and the length of the
ride you can expect?
Roller Coaster State Drop (ft) Duration(sec)
Incredible Hulk FL 1