/*! 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} Q.21 Hot dogs Are hot dogs that are h... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 3: Q.21 (page 161)

Hot dogs Are hot dogs that are high in calories also high in salt? The figure below is a scatterplot of the calories and salt content (measured as milligrams of sodium) in 17brands of meat hot dogs.

(a) The correlation for these data is r=0.87. Explain what this value means.

(b) What effect would removing the hot dog brand with the lowest calorie content have on the correlation? Justify your answer.

Short Answer

Expert verified

a). In a hot dog, there is a very significant positive relationship between calories and salt.

b). The linear association would become more significant.

Step by step solution

01

Part(a) Step 1: Given Information

The calories and salt content (measured as milligrams of sodium) in 17brands of meat hot dogs.

02

Part(a) Step 2: Explanation 

The stronger the positive connection, the closer the correlation, r, is to 1.

In a hot dog, there is a very significant positive relationship between calories and salt.

03

Part(b) Step 1: Given Information

The calories and salt content (measured as milligrams of sodium) in 17brands of meat hot dogs.

04

Part(b) Step 2: Explanation 

The point in the bottom left corner (corresponding to the lowest calorie content) does not follow the same general linear trend as the other data points in the scatterplot.

Thus, deleting this point from the data set would make the data look more linear, resulting in a rise in the linear correlation coefficient r. (close to 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

Joan is concerned about the amount of energy she uses to heat her home. The graph below plots the mean number of cubic feet of gas per day that Joan used each month against the average temperature that month (in degrees Fahrenheit) for one heating season.

(a) Does the plot show a positive or negative association between the variables? Why does this make sense?

(b) What is the form of the relationship? Is it very strong? Explain your answers.

(c) Explain what the point at the bottom right of the plot represents.

Interpret the value of this subject鈥檚 residual in context.

Late bloomers? Japanese cherry trees tend to blossom early when spring weather is warm and later when spring weather is cool. Here are some data on the average March temperature (in 掳C) and the day in April when the first cherry blossom appeared over a 24-year period:

(a) Make a well-labeled scatterplot that鈥檚 suitable for predicting when the cherry trees will bloom from the temperature. Describe the direction, form, and strength of the relationship.

(b) Use technology to find the equation of the least-squares regression line. Interpret the slope and y the intercept of the line in this setting.

(c) The average March temperature this year was 3.5掳C When would you predict that the first cherry blossom would appear? Show your method clearly.

(d) Find the residual for the year when the average March temperature was 4.5掳C Show your work.

(e) Use technology to construct a residual plot. Describe what you see.

(f) Find and interpret the value of r2 and s in this setting.

Managing diabetes People with diabetes measure their fasting plasma glucose (FPG; measured in units of milligrams per milliliter) after fasting for at least 8 hours. Another measurement, made at regular medical checkups, is called HbA. This is roughly the percent of red blood cells that have a glucose

molecule attached. It measures average exposure to glucose over a period of several months. The table below gives data on both HbA and FPG for 18 diabetics five months after they had completed a diabetes education class.

(a) Make a scatterplot with HbA as the explanatory variable. There is a positive linear relationship, but it is surprisingly weak.

(b) Subject 15 is an outlier in the y-direction. Subject 18 is an outlier in the x-direction. Find the correlation for all 18 subjects, for all except Subject 15 and

for all except Subject 18 Are either or both of these subjects influential for the correlation? Explain in simple language why r changes in opposite directions when we remove each of these points.

(c) Add three regression lines for predicting FPG from HbA to your scatterplot: for all 18 subjects, for all except Subject 15 and for all except Subject 18

Is either Subject 15 or Subject 18 strongly influential for the least-squares line? Explain in simple language what features of the scatterplot explain the degree of influence.

Oil and residuals Refer to Exercise 59. The following figure shows a residual plot for the least-squares regression line. Discuss what the residual plot tells
See all solutions

Recommended explanations on Math Textbooks

Decision Maths

Read Explanation

Geometry

Read Explanation

Discrete Mathematics

Read Explanation

Probability and Statistics

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.