Outliers · Exercise 11

The following table shows data on average per capita coffee consumption and death rate from heart disease in a random sample of 10 countries.

$$\begin{array}{ccccccccccc}\text{Yearly Coffee Consumption (liters)}& \text{2.5}& \text{3.9}& \text{2.9}& \text{2.4}& \text{2.9}& \text{0.8}& \text{9.1}& \text{2.7}& \text{0.8}& \text{0.7}\\ \text{No. of Deaths from Heart Disease}& \text{221}& \text{167}& \text{131}& \text{191}& \text{220}& \text{297}& \text{71}& \text{172}& \text{211}& \text{300}\end{array}$$

(a) Enter the data into a calculator and make a scatter plot.
(b) Use the calculator’s regression function to find the equation of the least-squares regression line. Add this to your scatter plot from Part A.
(c) Explain what the slope and y-intercept of the regression line tell us.
(d) How well does the regression line fit the data? Explain your response.
(e) Which point has the largest residual? Explain what the residual means in context. Is this point an outlier? An influential point? Explain.
(f) Do the data provide convincing evidence that there is a linear relationship between the amount of coffee consumed and the heart disease death rate? Carry out an appropriate test at a significance level of 0.05 to help answer this question.

Its source prints no answer for this problem, so there's nothing to check against.

OpenStax, Statistics · §12.5 Outliers · Exercise 11