2.7 Assessing a Regression Model Part 2

A random sample of 195 students was selected from the United Kingdom. The scatterplot shows the relationship between y = height (in centimeters) and x = age (in years), along with the least-squares regression line. The standard deviation of the residuals for this model is s = 8.61. Interpret this value.

When Mentos are dropped into a newly opened bottle of Diet Coke, carbon dioxide is released from the Diet Coke very rapidly, causing the Diet Coke to be expelled from the bottle. The scatterplot shows the relationship between y = amount expelled (in cups) and x = number of Mentos, along with the least-squares regression line. The standard deviation of the residuals for this model is s = 0.067. Interpret the value.

Joan keeps a record of the natural gas that her furnace consumes for each month from October to May. The scatterplot shows the relationship between x = average temperature (in degrees Fahrenheit) and y = average gas consumption (in cubic feet per day) for each month, along with the least-squares regression line. The standard deviation of the residuals for this model is s = 46.4. Interpret this value.

Data were collected on a sample of 12 brands of movie candy. The scatterplot shows the relationship between x = amount of sugar (in grams) and y = number of calories, along with the least-squares regression line. The standard deviation of the residuals for this model is s = 105.5. Interpret this value.