standard_description: Use the mean and standard deviation of a data set to fit it to a normal distribution and to estimate population percentages. Recognize that there are data sets for which such a procedure is not appropriate. Use calculators, spreadsheets, and tables to estimate areas under the normal curve.
problem_activity: Problem 1
For the four scatter plots, answer the following questions:
Does there appear to be a relationship between
$$x$$
and
$$y$$
?
If there is a relationship, does it appear to be linear?
If the relationship appears to be linear, is it a positive or negative linear relationship?
If applicable, circle the correct words in this sentence: There is a (positive/negative) association between
$$x$$
and
$$y$$
because as
$$x$$
increases, then
$$y$$
tends to (increase/decrease).
a.
[IMG]
b.
[IMG]
c.
[IMG]
d.
[IMG]
Problem 2
Pablo is curious if there is a relationship between the amount of time high school students spend on social media and their academic achievement. To explore this, he conducts a survey of 30 randomly selected students from his school, and asks them how many minutes they spent on social media yesterday and what their most recent grade point average (GPA) was. Pablo summarized his data in the scatter plot below.
[IMG]
a.   Describe the relationship between the amount of time spent on social media and GPA.
b.   Are there any deviations from the pattern? Explain what you see.
c.   Are there any clusters of data? What do they mean in context?


aligns: no