Introductory Statistics
1st Edition
ISBN: 9781938168208
Author: Barbara Illowsky, Susan Dean
Publisher: OpenStax College
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Chapter 12, Problem 12.12TI
Identify the potential outlier in the
Figure 12.19
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II Consider the following data matrix X:
X1
X2
0.5
0.4
0.2 0.5
0.5
0.5
10.3 10
10.1 10.4
10.1
10.5
What will the resulting clusters be when using the k-Means method with k = 2. In your own words, explain why this result is
indeed expected, i.e. why this clustering minimises the ESS map.
why the answer is 3 and 10?
PS
9 Two films are shown on screen A and screen B at a cinema each evening. The numbers
of people viewing the films on 12 consecutive evenings are shown in the back-to-back
stem-and-leaf diagram.
Screen A (12) Screen B (12)
8
037
34
7 6 4 0 534
74 1645678
92 71689
Key: 116|4 represents 61 viewers for A and 64 viewers for B
A second stem-and-leaf diagram (with rows of the same width as the previous diagram)
is drawn showing the total number of people viewing films at the cinema on each of
these 12 evenings. Find the least and greatest possible number of rows that this second
diagram could have.
TIP
On the evening when 30 people viewed films on screen A, there could have been as few
as 37 or as many as 79 people viewing films on screen B.
Chapter 12 Solutions
Introductory Statistics
Ch. 12 - Is the following an example of a linear equation?...Ch. 12 - Is the following an example of a linear equation?...Ch. 12 - Emma’s Extreme Sports hires hang-gliding...Ch. 12 - Ethan repairs household appliances like...Ch. 12 - Amelia plays basketball for her high school. She...Ch. 12 - SCUBA divers have maximum dive times they cannot...Ch. 12 - For a given line of best fit, you computed that r...Ch. 12 - For a given line of best fit, you compute that r =...Ch. 12 - For a given line of best fit, you compute that r =...Ch. 12 - For a given line of best fit, you compute that r =...
Ch. 12 - Data are collected on the relationship between the...Ch. 12 - Identify the potential outlier in the scatter...Ch. 12 - The data points for the graph from the third...Ch. 12 - The following table shows economic development...Ch. 12 - Linear Equations Use the following information to...Ch. 12 - Linear Equations Use the following information to...Ch. 12 - Linear Equations Use the following information to...Ch. 12 - Use the following information to answer the next...Ch. 12 - Use the following information to answer the next...Ch. 12 - Is the equation y=10+5x3x2 linear? Why or why not?Ch. 12 - Which of the following equations are linear? a....Ch. 12 - Does the graph show a linear equation? Why or why...Ch. 12 - Use the columns "year" and "# flu cases diagnosed....Ch. 12 - Use the following information to answer the next...Ch. 12 - Use the following information to answer the next...Ch. 12 - Use the following information to answer the next...Ch. 12 - Use the following information to answer the next...Ch. 12 - Use the following information to answer the next...Ch. 12 - Use the following information to answer the next...Ch. 12 - Use the following information to answer the next...Ch. 12 - Does the scatter plot appear linear? Strong or...Ch. 12 - Does the scatter plot appear linear? Strong or...Ch. 12 - Does the scatter plot appear linear? Strong or...Ch. 12 - The Regression Equation Use the following...Ch. 12 - The Regression Equation Use the following...Ch. 12 - The Regression Equation Use the following...Ch. 12 - The Regression Equation Use the following...Ch. 12 - The Regression Equation Use the following...Ch. 12 - What does an r value of zero mean?Ch. 12 - When n = 2 and r = 1, are the data significant?...Ch. 12 - When n = 100 and r = -0.89, is there a significant...Ch. 12 - When testing the significance of the correlation...Ch. 12 - When testing the significance of the correlation...Ch. 12 - If the level of significance is 0.05 and the...Ch. 12 - Use the following information to answer the next...Ch. 12 - Use the following information to answer the next...Ch. 12 - Use the following information to answer the next...Ch. 12 - Use the following information to answer the next...Ch. 12 - Use the following information to answer the next...Ch. 12 - Graph “year” versus “# flu cases diagnosed” (plot...Ch. 12 - Perform linear regression. What is the linear...Ch. 12 - Find the correlation coefficient. a. r = ________Ch. 12 - Solve. a. When x = 1985, y = _____ b. When x =...Ch. 12 - Does the line seem to fit the data? Why or why...Ch. 12 - What does the correlation imply about the...Ch. 12 - Plot the two given points on the following graph....Ch. 12 - Write the equation: y= ____________Ch. 12 - Hand draw a smooth curve on the graph that shows...Ch. 12 - Does the line seem to fit the data? Why or why...Ch. 12 - Do you think a linear fit is best? Why or why not?Ch. 12 - What does the correlation imply about the...Ch. 12 - Graph “year” vs. “# flu cases diagnosed.” Do not...Ch. 12 - Enter your data into your calculator or computer....Ch. 12 - Find the correlation coefficient. a. correlation =...Ch. 12 - Outliers Use the following information to answer...Ch. 12 - Outliers Use the following information to answer...Ch. 12 - Outliers Use the following information to answer...Ch. 12 - Outliers Use the following information to answer...Ch. 12 - The Sum of Squared Errors for a data set of 18...Ch. 12 - The Standard Deviation for the Sum of Squared...Ch. 12 - For each of the following situations, state the...Ch. 12 - Piece-rate systems are widely debated incentive...Ch. 12 - The Gross Domestic Product Purchasing Power Parity...Ch. 12 - The following table shows the poverty rates and...Ch. 12 - Does the higher cost of tuition translate into...Ch. 12 - If the level of significance is 0.05 and the...Ch. 12 - If there are 15 data points in a set of data, what...Ch. 12 - What is the process through which we can calculate...Ch. 12 - Explain what it means when a correlation has an r2...Ch. 12 - Can a coefficient of determination be negative?...Ch. 12 - Recently, the annual number of driver deaths per...Ch. 12 - Table 12.20 shows the life expectancy for an...Ch. 12 - The maximum discount value of the Entertainment®...Ch. 12 - Table 12.22 gives the gold medal times for every...Ch. 12 - State # letters in name Year entered the Union...Ch. 12 - The height (sidewalk to roof) of notable tall...Ch. 12 - Ornithologists, scientists who study birds, tag...Ch. 12 - The following table shows data on average per...Ch. 12 - The following table consists of one student...Ch. 12 - A researcher is investigating whether population...Ch. 12 - School Mid-Career Salary (in thousands) Yearly...Ch. 12 - The average number of people in a family that...Ch. 12 - The percent of female wage and salary workers who...Ch. 12 - Use the following information to answer the next...Ch. 12 - Use the following information to answer the next...Ch. 12 - According to a flyer by a Prudential Insurance...Ch. 12 - The following are advertised sale prices of color...Ch. 12 - Table 12.34 shows the average heights for American...Ch. 12 - State # letters in name Year entered the Union...
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