Logout Open In App
Open In App
Warning: foreach() argument must be of type array|object, bool given in /var/www/html/web/app/themes/studypress-core-theme/template-parts/header/mobile-offcanvas.php on line 20

Chapter 3: Q R3.6. (page 214)

Calculating achievement a study found a strong link between the number of calculators possessed by high school pupils and their arithmetic proficiency, according to the principle of a high school. Based on this study, he decides to buy each student at his school two calculators, hoping to improve their math achievement. Explain the flaw in the principal’s reasoning.

Short Answer

Expert verified

because correlation does not imply causality, we cannot be certain that the number of calculators owed is the cause of the higher math scores.

Step by step solution

01

Given information

A study found a strong link between the number of calculators possessed by high school pupils and their arithmetic proficiency, according to the principal of a high school.

02

Explanation

If there is a strong correlation between the number of calculators owned by higher students and their math achievements, then there is a strong correlation between the number of calculators owned by higher students and their math achievements. However, because correlation does not imply causality, we cannot be certain that the number of calculators owed is the cause of the higher math scores.

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.

Start your free trial

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

Crickets keep chirping In Exercise 44, we summarized the relationship between x = temperature in degrees Fahrenheit and y = chirps per minute for the striped ground cricket, with the regression line y^=–0.31+0.212x. For this model, technology gives s = 0.97 and r2 = 0.697.

a. Interpret the value of s.

b. Interpret the value of r2.

If women always married men who were 2 years older than themselves, what would be the correlation between the ages of husband and wife?

a. 2

b. 1

c. 0.5

d. 0

e. Can’t tell without seeing the data

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

Dem bones Archaeopteryx is an extinct beast that had feathers like a bird but teeth and a long bony tail like a reptile. Only six fossil specimens are known to exist today. Because these specimens differ greatly in size, some scientists think they are different species rather than individuals from the same species. 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, using the formula on page 166. Explain how your value for r matches your graph in part (a).

Predicting wins Earlier we investigated the relationship between x =

payroll (in millions of dollars) and y = number of wins for Major League Baseball teams in 2016. Here is a scatterplot of the data, along with the regression line y^=60.7+0.139x

a. Predict the number of wins for a team that spends \(200 million on payroll.

b. Predict the number of wins for a team that spends \)400 million on payroll.

c. How confident are you in each of these predictions? Explain your reasoning.
See all solutions

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Read Explanation

Calculus

Read Explanation

Probability and Statistics

Read Explanation

Applied Mathematics

Read Explanation

Statistics

Read Explanation

Logic and Functions

Read Explanation
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