options: Make inferences and justify conclusions from sample surveys, experiments, and observational studies.

Summarize, represent, and interpret data on a single count or measurement variable.

Interpret linear models.

Develop understanding of statistical variability.

Investigate patterns of association in bivariate data.

Draw informal comparative inferences about two populations.

Summarize, represent, and interpret data on two categorical and quantitative variables.

Summarize and describe distributions.

Investigate chance processes and develop, use, and evaluate probability models.

Understand independence and conditional probability and use them to interpret data.

Calculate expected values and use them to solve problems.

Use the rules of probability to compute probabilities of compound events in a uniform probability model.

Understand and evaluate random processes underlying statistical experiments.

Use random sampling to draw inferences about a population.

Use probability to evaluate outcomes of decisions.
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?


correct_option_index: 4