/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q4BSC Scatterplots Match these values ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 10: Q4BSC (page 468)

Scatterplots Match these values of r with the five scatterplots shown below: 0.268, 0.992, -1, 0.746, and 1.

Short Answer

Expert verified

The r values for the five scatterplots are:

  1. \(r = - 1\)
  2. \(r = 0.746\)
  3. \(r = 0.268\)
  4. \(r = 0.992\)
  5. \(r = 1\)

Step by step solution

01

Given information

Five scatterplots (a),(b),(c),(d),(e) are given along with five measures of correlation coefficients.

02

Procedure to estimate values of r from scatterplots

The value of correlation is between -1 and 1. The signs + or 鈥� indicate that there is direct and indirect linear association between the pair of variables.

A scatterplot is a graph that shows the paired observations where one variable is scaled

03

Relationship between scatterplot and value of r

The magnitude shows the strength of linear association between the pair of variables.

If the value is equal to 0, it indicates that there is no association between the variables. The scatter plot shows a random pattern in this case.

As the value approaches 1 or -1, the pattern of observations in scatterplot aligns in a straight line (either upward or downward).Depending on the alignment of the these observations about a straight line the measure of correlation changes.

04

Evaluating each scatterplot

(a) The scatter plot has all observations aligned about a straight line that slopes downward. Thus, the value of r is estimated to be -1.

(b) The scatter plot has all observations are aligned close to a straight line that slopes upwards. Thus, the value of r is estimated between 0 to 1. Thus, the value of r is estimated to be 0.746.

(c) The scatter plot has observations assigned randomly on the graph. Thus, the value of r is estimated to be very low but positive. In this case, it can take be estimated as 0.268.

(d) The scatter plot has observations aligned close to a straight line pattern in an upward direction. Thus, the value of ris expected to be very close to +1. In this case, it can take be estimated as 0.992.

(e) The scatter plot has observations perfectly aligned about the straight line in upward direction. Thus, the value of r is estimated to be 1.

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 91影视!

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

Super Bowl and\({R^2}\)Let x represent years coded as 1, 2, 3, . . . for years starting in 1980, and let y represent the numbers of points scored in each Super Bowl from 1980. Using the data from 1980 to the last Super Bowl at the time of this writing, we obtain the following values of\({R^2}\)for the different models: linear: 0.147; quadratic: 0.255; logarithmic: 0.176; exponential: 0.175; power: 0.203. Based on these results, which model is best? Is the best model a good model? What do the results suggest about predicting the number of points scored in a future Super Bowl game?

Testing for a Linear Correlation. In Exercises 13鈥�28, construct a scatterplot, and find the value of the linear correlation coefficient r. Also find the P-value or the critical values of r from Table A-6. Use a significance level of A = 0.05. Determine whether there is sufficient evidence to support a claim of a linear correlation between the two variables. (Save your work because the same data sets will be used in Section 10-2 exercises.)

CPI and the Subway Use CPI>subway data from the preceding exercise to determine whether there is a significant linear correlation between the CPI (Consumer Price Index) and the subway fare.

Outlier Refer to the accompanying Minitab-generated scatterplot. a. Examine the pattern of all 10 points and subjectively determine whether there appears to be a correlation between x and y. b. After identifying the 10 pairs of coordinates corresponding to the 10 points, find the value of the correlation coefficient r and determine whether there is a linear correlation. c. Now remove the point with coordinates (10, 10) and repeat parts (a) and (b). d. What do you conclude about the possible effect from a single pair of values?

Testing for a Linear Correlation. In Exercises 13鈥�28, construct a scatterplot, and find the value of the linear correlation coefficient r. Also find the P-value or the critical values of r from Table A-6. Use a significance level of A = 0.05. Determine whether there is sufficient evidence to support a claim of a linear correlation between the two variables. (Save your work because the same data sets will be used in Section 10-2 exercises.)

Pizza and the Subway The 鈥減izza connection鈥� is the principle that the price of a slice of pizza in New York City is always about the same as the subway fare. Use the data listed below to determine whether there is a significant linear correlation between the cost of a slice of pizza and the subway fare.

Year

1960

1973

1986

1995

2002

2003

2009

2013

2015

Pizza Cost

0.15

0.35

1

1.25

1.75

2

2.25

2.3

2.75

Subway Fare

0.15

0.35

1

1.35

1.5

2

2.25

2.5

2.75

CPI

30.2

48.3

112.3

162.2

191.9

197.8

214.5

233

237.2

Interpreting a Computer Display. In Exercises 9鈥�12, refer to the display obtained by using the paired data consisting of Florida registered boats (tens of thousands) and numbers of manatee deaths from encounters with boats in Florida for different recent years (from Data Set 10 in Appendix B). Along with the paired boat, manatee sample data, Stat Crunch was also given the value of 85 (tens of thousands) boats to be used for predicting manatee fatalities.


Testing for Correlation Use the information provided in the display to determine the value of the linear correlation coefficient. Is there sufficient evidence to support a claim of a linear correlation between numbers of registered boats and numbers of manatee deaths from encounters with boats?
See all solutions

Recommended explanations on Math Textbooks

Pure Maths

Read Explanation

Calculus

Read Explanation

Discrete Mathematics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Statistics

Read Explanation

Mechanics Maths

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.