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2. As her children got older, Ms. Angjeli’s expenses (in hundreds of dollars per month) increase.
Time(yrs) 0 1 2 3 4 5 6 7 8 9
Expenses($) 5 6 8 11 23 19 22 27 35 41
a. State the dependent variable and explain your choice.
b. Complete a scatter plot of these data. Label all axes and show the scale. Circle the outlier.
Draw the scatterplot below or copy and paste a screen capture from Desmos.
c. Determine the correlation coefficient and the line of best fit.
r = ___________ Line of best fit: ___________________
d. Determine the correlation coefficient and the line of best fit with any outliers removed.
r = ___________ Line of best fit: ___________________
e. Use both models to predict Ms. Angjeli’s expenses in the 23rd year.
Model c = ___________ Model d: ___________
f. Use both models to predict the year (to the nearest hundredth) in which Ms’ Angjeli’s expenses will reach $3000.
Model c = ___________ Model d: ___________
g. Is your line accurate? Use Desmos to generate a different type of model (exponential, or quadratic). Is there another type that is more accurate?
