Scatterplot. In Exercises 5–8, use the sample data to construct a scatterplot. Use the first variable for the x-axis. Based on the scatterplot, what do you conclude about a linear correlation?

Car Weight and Fuel Consumption The table lists weights (pounds) and highway fuel consumption amounts (mpg) for a Hyundai Elantra, Nissan Altima, VW Passat, Buick Lucerne, Mercury Grand Marquis, Honda Civic, and Honda Accord.

Weight (lb)

2895

3215

3465

4095

4180

Highway (mpg)

33

31

29

25

24

Short Answer

Expert verified

The scatterplot is constructed as shown below:

By observing the scatterplot, it can be seen that the points lie close to a straight-line pattern. Thus, the two variables, the weight of the car and highway fuel consumption, are linearly correlated.

Step by step solution

01

Given information

Two variables, namely the weight (lb) of cars and the corresponding highway fuel consumption amounts (mpg) are recorded for different cars.

Weight(lb)

2895

3215

3465

4095

4180

2740

3270

Highway(mpg)

33

31

29

25

24

36

30

02

Construct the scatterplot

Scatterplots use observations in paired form from quantitative variables to represent in the graph.

Use the following steps to plot a scatterplot between weight andfuel comsumption amounts:

  • Consider x as weight (lb) and y as highway (mpg).
  • Mark the values 2500, 3000, and so on till 4500 on the horizontal axis.
  • Mark the values 20, 25, and so on till 40 on the vertical axis.
  • Plot the points on the graph corresponding to the pairs of values for the two variables.
  • Label the horizontal axis as “Weight(lb)” and the vertical axis as “Highway(mpg).”

The following scatterplot is generated:

03

Analyze the scatterplot

The scatterplot is used to conclude the nature of the association between the observations of two variables.

It can be observed that the points lie close to a straight-line pattern such that with an increase in weight of the car, the fuel consumption decreases.

Therefore, it can be concluded that the weight of cars and highway fuel consumption are linearly related in a negative direction.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Pie Charts. In Exercises 13 and 14, construct the pie chart.

Journal Retractions Use the data from Exercise 11 “Journal Retractions.”

Time-Series Graphs. In Exercises 9 and 10, construct the time-series graph.

Gender Pay Gap Listed below are women’s median earnings as a percentage of men’s median earnings for recent years beginning with 1990. Is there a trend? How does it appear to affect women?

71.6 69.9 70.8 71.5 72.0 71.4 73.8 74.2 73.2 72.3 73.7 76.3 76.6 75.5 76.6 77.0 76.9 77.8 77.1 77.0 77.4 77.0

Categorical Data. In Exercises 23 and 24, use the given categorical data to construct the relative frequency distribution.

Clinical Trial When XELJANZ (tofacitinib) was administered as part of a clinical trial for this rheumatoid arthritis treatment, 1336 subjects were given 5 mg doses of the drug, and here are the numbers of adverse reactions: 57 had headaches, 21 had hypertension, 60 had upper respiratory tract infections, 51 had nasopharyngitis, and 53 had diarrhoea. Does any one of these adverse reactions appear to be much more common than the others? (Hint: Find the relative frequencies using only the adverse reactions, not the total number of treated subjects.)

Deceptive Graphs. In Exercises 17–20, identify how the graph is deceptive.

Subway Fare In 1986, the New York City subway fare cost \(1, and as of this writing, the current cost is \)2.50, so the 1986 price was multiplied by 2.5. In the accompanying graph, the large bill is 2.5 times as tall and 2.5 times as wide as the smaller bill.

Deceptive Graphs. In Exercises 17–20, identify how the graph is deceptive.

Self-Driving Vehicles In a survey of adults, subjects were asked if they felt comfortable being in a self-driving vehicle. The accompanying graph depicts the results (based on data from TE Connectivity).

See all solutions

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free