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 12: Q. 71 (page 725)

We are interested in whether or not the number of letters in a state name depends upon the year the state entered the Union.

a. Decide which variable should be the independent variable and which should be the dependent variable.

b. Draw a scatter plot of the data.

c. Does it appear from inspection that there is a relationship between the variables? Why or why not?

Short Answer

Expert verified

Part a. Independent variable – Year the state entered the union

Dependent variable – number of letters in a state name

Part b.

Part c. It appears to be that there is no relationship between variables.

Step by step solution

01

Part a. Step 1. Given information

Given,

02

Part a. Step 2. Explanation

Year the state entered the union will be the independent variable and number of letters in a state name will be the dependent variable.

03

Part b. Step 1. Explanation

Graph,

04

Part c. Step 1. Explanation

The data are scattered over the plot without any pattern. Therefore it seems there is no relationship between the year entered the union and number of letters in the name according to the inspection.

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

A credit card company charges \(10 when a payment is late, and \)5 a day each day the payment remains unpaid.

Does the graph show a linear equation? Why or why not?

The scatter plot shows the relationship between hours spent studying and exam scores. The line shown is the calculated line of best fit. The correlation coefficient is 0.69.

Do there appear to be any outliers?

Table contains real data for the first two decades of flu cases reporting

Year# flu cases diagnosed# flu deathsPre-19819129198131912119821,17045319833,0761,48219846,2403,466198511,7766,878198619,03211,987198728,56416,162198835,44720,868198942,67427,591199048,63431,335199159,66036,560199278,53041,055199378,83444,730199471,87449,095199568,50549,456199659,34738,510199747,14920,736199838,39319,005199925,17418,454200025,52217,347200125,64317,402200226,46416,371Total802,118489,093

Find the correlation coefficient

correlation=______

Due to erosion, a river shoreline is losing several thousand pounds of soil each year. A linear equation that expresses the total amount of soil lost per year is y=12,000x.

How many pounds of soil does the shoreline lose in a year?

The height (sidewalk to roof) of notable tall buildings in America is compared to the number of stories of the building (beginning at street level).

a. Using “stories” as the independent variable and “height” as the dependent variable, make a scatter plot of the data.

b. Does it appear from inspection that there is a relationship between the variables?

c. Calculate the least squares line. Put the equation in the form of: \(\hat{y}=a+bx\)
See all solutions

Recommended explanations on Math Textbooks

Logic and Functions

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Calculus

Read Explanation

Probability and Statistics

Read Explanation

Geometry

Read Explanation

Statistics

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