Chapter 3: Q.2.3 (page 149)
How strong is the relationship? Justify your answer
Short Answer
The given figure shows that there is a strong linear relationship
Chapter 3: Q.2.3 (page 149)
How strong is the relationship? Justify your answer
The given figure shows that there is a strong linear relationship
All the tools & learning materials you need for study success - in one app.
Get started for freeFind the residual for the subject who increased NEA by calories. Show your work
What affects correlation? Make a scatterplot of the following data:
The correlation for these data is . What is responsible for reducing the correlation to this value despite a strong straight-line relationship between and in most of the observations?
Dem bones Archaeopteryx is an extinct beast having feathers like a bird but teeth and a long bony tail like a reptile. Only six fossil specimens are known. Because these specimens differ greatly in size, some scientists think they are different species rather than individuals from the same species. We will examine some data. If the specimens belong to the same species and differ in size because some are younger than others, there should be a positive linear relationship between the lengths of a pair of bones from all individuals. An outlier from this relationship would suggest a different species. Here are data on the lengths in centimeters of the femur (a leg bone) and the humerus (a bone in the upper arm) for the five specimens that preserve both bones:
(a) Make a scatterplot. Do you think that all five specimens come from the same species? Explain.
(b) Find the correlation r step-by-step. First, find the mean and standard deviation of each variable. Then find the six standardized values for each variable. Finally, use the formula for . Explain how your value for matches your graph in (a).
In its Fuel Economy Guide for model vehicles, the Environmental Protection Agency gives data on vehicles. There are a number of outliers, main vehicles with very poor gas mileage. If we ignore the outliers, however, the combined city and highway gas mileage of the other
or so vehicles are approximately Normal with a mean of miles per gallon (mpg) and a standard deviation of mpg.
The top How high must a vehicle’s gas mileage be in order to fall in the top of all vehicles? (The distribution omits a few high outliers, mainly hybrid gas-electric vehicles.)
You have data for many years on the average price of a barrel of oil and the average retail price of a gallon of unleaded regular gasoline. If you want to see how well the price of oil predicts the price of gas, then you should make a scatterplot with ______ as the explanatory variable.
(a) the price of oil
(b) the price of gas
(c) the year
(d) either oil price or gas price
(e) time
What do you think about this solution?
We value your feedback to improve our textbook solutions.