1. In this real world example, the year is the independent variable and the death rate is the dependent variable. We can observe a negative correlation between the two variables. The mortality rate is the probability per 1,000 live births that a newborn baby will die before reaching age five, if subject to age specific mortality rate of the specific year in Angola (World Bank).
How many deaths per 1000 live births are there on July, 2011?
How many deaths per 1000 live births are there on July, 2011?
2. Slope of the secant:
a. The endpoints for the year (2012,173) and (2005, 205)
173 -205 = -4.57
2012 - 2005
b. The endpoints for the year (2009,188) and (2005, 205)
188-205 = -4.25
2009-2005
c. The endpoints for the year (2007,173) and (2005, 205)
197-205 = -4
2007-2005
The average rate of change represents the change in mortality rates. In this case, every year the mortality rates are dropping over the interval of time. Per 1,000 live births, every year there are less deaths for children under the age of 5.
3. The graph depicts the data from the table. There is a negative correlation of mortality rates in Angola, meaning that every single year there are less and less deaths per 1,000 live births.
To find the instantaneous rate of a change of the mortality rate in 2005, an approximation of the tangent line will be sketched through the point of (2008, 194)
194-205 = -3.67
2008-2005
The mortality rate is decreasing at approximately -3.67 (or 4 if we round up) deaths per year. The IRC is
The IRC is -3.67. As the secant line gets closer and closer to the point of (2005, 205), the slope of the secant lines are getting closer and closer to -3.67, the slope of the tangent.
Sveta,
ReplyDeleteI just wanted to say that you took the time out to prepare a well research project. You went into the mortality rate in Angola from 2004-2012. I did something similar but with crude birth rates(per 1000 people) in the USA from the same years. I don't even know if I did my calculations right, but it looks like you did with yours. Great numbers and calculations and clear interpretations.
Tammy
Your calculations look correct and your and your answers all make sense in the context of the data and the graphs. Your tangent line is also appropriately placed.
ReplyDeleteHi Sveta,
ReplyDeleteI liked your topic, also your chart looked nice. Although your blog was a little bit short but I thought you did all your calculations right.
Great job!
sveta,
ReplyDeleteexcellent job on your blog! i can tell that you put quite a bit of effort into this example. you did a splendid job with your calculations and your graphics definitely add to the understanding of your example.
the only thing that i want to note about part of your explanation is to recognize that "in 2005, the mortality rate is decreasing at a rate of 3.67 deaths per year" not decreasing at a rate of -3.67 deaths per year.
other than that, you did a great job!
professor little