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 suggest a linear association. A line to model the data is given by = 12 + 41 y=12x+41.
a) Use the given linear model to enter in the missing residuals from the table. Use the input below to enter the values of the residuals from top to bottom separating values with a comma.
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 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.