One part of Clare's job at an environmental awareness
organization is to answer the phone to collect
donations. The table shows the number of hours she
worked each week, x, and the amount of donations in
dollars, y, that the organization collected each week for
10 weeks.
The data in the scatter plot suggests a linear
association. A line to model the data is given by
y=12x + 41.
I
A Desmos graphing calculator has been provided on
the following slide.
a. Use the given linear model to complete the table with
the residuals.
b. Is the line given a reasonably good fit? Explain your
reasoning.
c. Explain the meaning of the slope of the line in this
situation.
D. Describe the correlation between the variables as either strong or weak and as either positive or negative. Explain your reasoning.
E. Clare’s boss sees the graph and tells her, “We certainly tend to bring in a lot more money when you’re working here! This graph proves you’re the cause of this increase in donations!” Do you agree with Clare’s boss? Explain your reasoning