Elementary Statistics: Picturing the World (7th Edition)
7th Edition
ISBN: 9780134683416
Author: Ron Larson, Betsy Farber
Publisher: PEARSON
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Chapter 9, Problem 9.1.8RE
To determine
To test: Whether there is a
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a) Calculate the sample correlation coefficient r (show all your work).b) Calculate the regression line (you may use technology, but you should write up the details).c) Use the regression line obtain in b. to predict the value of y for x = 0.3 year.d) Use the regression line obtain in b. to predict the value of y for x = 0.8 year.
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ACTIVITY SHEET Q4M3
Do the following:
a. Identify the independent variable and the dependent variable.
b. Construct a scatter plot.
c. Determine the direction of the straight line that the data points seem to follow.
d. Determine the strength of correlation between the two variables.
1. The table below shows the number of hours spent in studying and their scores on
a test.
X
1
2
3
4
5
6
7
Y
6
9
10
12
14
17
20
2. The table below shows the number of absences and their corresponding final
grades.
X
2
0
4
10
8
6
6
Y
92
90
86
75
79
80
81
"You can do it"
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Part 1 of 4
there sufficient evidence to conclude that there is a linear correlation between overhead widths of seals from photographs and the weights of the seals?
8.3 D
Listed below are the overhead widths (in cm) of seals measured from photographs and the weights (in kg) of the seals. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the critical values of r using a = 0.05. Is
8.6
195
7.2
7.7
9.8
9.3
Overhead Width
187
Weight
119
165
246
196
Click here to view a table of critical values for the correlation coefficient
Construct a scatterplot. Choose the correct graph below.
Oc.
OD.
OA.
OB.
Aweight (kg
300 ES
Aweight (kg)
300-
Aweight (kg)
300-
Aweight (kg)
300-
----
100-
100.1
100-
100
10
width (cm)
10
10
width (cm)
width (om)
width (cm)
Chapter 9 Solutions
Elementary Statistics: Picturing the World (7th Edition)
Ch. 9.1 - A director of alumni affairs at a small college...Ch. 9.1 - A researcher conducts a study to determine whether...Ch. 9.1 - Consider the data on page 469 on the salaries and...Ch. 9.1 - Calculate the correlation coefficient for the...Ch. 9.1 - Use technology to calculate the correlation...Ch. 9.1 - In Try It Yourself 4, you calculated the...Ch. 9.1 - In Try It Yourself 5, you calculated the...Ch. 9.1 - Two variables have a positive linear correlation....Ch. 9.1 - Describe the range of values for the correlation...Ch. 9.1 - What does the sample correlation coefficient r...
Ch. 9.1 - Give examples of two variables that have perfect...Ch. 9.1 - Explain how to determine whether a sample...Ch. 9.1 - Discuss the difference between r and p.Ch. 9.1 - What are the null and alternate hypotheses for a...Ch. 9.1 - In your own words, what does it mean to say...Ch. 9.1 - Graphical Analysis In Exercises 912, determine...Ch. 9.1 - Graphical Analysis In Exercises 912, determine...Ch. 9.1 - Graphical Analysis In Exercises 912, determine...Ch. 9.1 - Graphical Analysis In Exercises 912, determine...Ch. 9.1 - In Exercises 13 and 14, identify the explanatory...Ch. 9.1 - In Exercises 13 and 14, identify the explanatory...Ch. 9.1 - Graphical Analysis In Exercises 1518, the scatter...Ch. 9.1 - Graphical Analysis In Exercises 1518, the scatter...Ch. 9.1 - Graphical Analysis In Exercises 1518, the scatter...Ch. 9.1 - Graphical Analysis In Exercises 1518, the scatter...Ch. 9.1 - In Exercises 1922, two variables are given that...Ch. 9.1 - In Exercises 1922, two variables are given that...Ch. 9.1 - In Exercises 1922, two variables are given that...Ch. 9.1 - In Exercises 1922, two variables are given that...Ch. 9.1 - Constructing a Scatter Plot and Determining...Ch. 9.1 - Constructing a Scatter Plot and Determining...Ch. 9.1 - Constructing a Scatter Plot and Determining...Ch. 9.1 - Constructing a Scatter Plot and Determining...Ch. 9.1 - Constructing a Scatter Plot and Determining...Ch. 9.1 - Constructing a Scatter Plot and Determining...Ch. 9.1 - In Exercise 23, add data for a child who is 6...Ch. 9.1 - In Exercise 24, remove the data for the girl who...Ch. 9.1 - In Exercise 25, remove the data for the...Ch. 9.1 - In Exercise 26, add data for an international...Ch. 9.1 - The t-Test for Correlation Coefficients In...Ch. 9.1 - The t-Test for Correlation Coefficients In...Ch. 9.1 - The t-Test for Correlation Coefficients In...Ch. 9.1 - The t-Test for Correlation Coefficients In...Ch. 9.1 - Interchanging x and y In Exercise 26, let the time...Ch. 9.1 - Generate a new data set. Using your knowledge of...Ch. 9.1 - Describe how to create a data set with a value of...Ch. 9.1 - Describe how to create a data set with a value of...Ch. 9.1 - Try to create a data set with a value of r that is...Ch. 9.2 - Find the equation of the regression line for the...Ch. 9.2 - Use technology to find the equation of the...Ch. 9.2 - The regression equation for the Old Faithful data...Ch. 9.2 - What is a residual? Explain when a residual is...Ch. 9.2 - Two variables have a positive linear correlation....Ch. 9.2 - Explain how to predict y-values using the equation...Ch. 9.2 - For a set of data and a corresponding regression...Ch. 9.2 - In order to predict y-values using the equation of...Ch. 9.2 - Why is it not appropriate to use a regression line...Ch. 9.2 - In Exercises 712, match the description in the...Ch. 9.2 - In Exercises 712, match the description in the...Ch. 9.2 - In Exercises 712, match the description in the...Ch. 9.2 - In Exercises 712, match the description in the...Ch. 9.2 - In Exercises 712, match the description in the...Ch. 9.2 - In Exercises 712, match the description in the...Ch. 9.2 - Graphical Analysis In Exercises 1316, match the...Ch. 9.2 - Graphical Analysis In Exercises 1316, match the...Ch. 9.2 - Graphical Analysis In Exercises 1316, match the...Ch. 9.2 - Graphical Analysis In Exercises 1316, match the...Ch. 9.2 - Finding the Equation of a Regression Line In...Ch. 9.2 - Finding the Equation of a Regression Line In...Ch. 9.2 - Finding the Equation of a Regression Line In...Ch. 9.2 - Finding the Equation of a Regression Line In...Ch. 9.2 - Finding the Equation of a Regression Line In...Ch. 9.2 - Finding the Equation of a Regression Line In...Ch. 9.2 - Finding the Equation of a Regression Line In...Ch. 9.2 - Finding the Equation of a Regression Line In...Ch. 9.2 - Finding the Equation of a Regression Line In...Ch. 9.2 - Finding the Equation of a Regression Line In...Ch. 9.2 - Registered Nurse Salaries In Exercises 2730, use...Ch. 9.2 - Registered Nurse Salaries In Exercises 2730, use...Ch. 9.2 - Registered Nurse Salaries In Exercises 2730, use...Ch. 9.2 - Registered Nurse Salaries In Exercises 2730, use...Ch. 9.2 - Interchanging X and y In Exercises 31 and 32,...Ch. 9.2 - Interchanging X and y In Exercises 31 and 32,...Ch. 9.2 - In Exercises 33 and 34, (a) find the equation of...Ch. 9.2 - In Exercises 33 and 34, (a) find the equation of...Ch. 9.2 - In Exercises 35 and 36, (a) construct a scatter...Ch. 9.2 - Prob. 36ECh. 9.2 - Prob. 37ECh. 9.2 - Prob. 38ECh. 9.2 - Prob. 39ECh. 9.2 - Prob. 40ECh. 9.2 - Prob. 41ECh. 9.2 - Prob. 42ECh. 9.2 - Prob. 43ECh. 9.2 - Prob. 44ECh. 9.2 - Prob. 45ECh. 9.2 - Prob. 46ECh. 9.2 - Prob. 47ECh. 9.2 - Prob. 48ECh. 9.2 - Prob. 1ACh. 9.2 - Prob. 2ACh. 9.2 - Prob. 3ACh. 9.2 - Prob. 4ACh. 9.3 - The correlation coefficient for the Old Faithful...Ch. 9.3 - Prob. 2TYCh. 9.3 - Using the results of Example 2, construct a 95%...Ch. 9.3 - Graphical Analysis In Exercises 13, use the...Ch. 9.3 - Graphical Analysis In Exercises 13, use the...Ch. 9.3 - Graphical Analysis In Exercises 13, use the...Ch. 9.3 - The coefficient of determination r2 is the ratio...Ch. 9.3 - What is the coefficient of determination for two...Ch. 9.3 - Two variables have a bivariate normal...Ch. 9.3 - In Exercises 710, use the value of the correlation...Ch. 9.3 - In Exercises 710, use the value of the correlation...Ch. 9.3 - In Exercises 710, use the value of the correlation...Ch. 9.3 - In Exercises 710, use the value of the correlation...Ch. 9.3 - Finding the Coefficient of Determination and the...Ch. 9.3 - Finding the Coefficient of Determination and the...Ch. 9.3 - Finding the Coefficient of Determination and the...Ch. 9.3 - Finding the Coefficient of Determination and the...Ch. 9.3 - Finding the Coefficient of Determination and the...Ch. 9.3 - Finding the Coefficient of Determination and the...Ch. 9.3 - Finding the Coefficient of Determination and the...Ch. 9.3 - Finding the Coefficient of Determination and the...Ch. 9.3 - Finding the Coefficient of Determination and the...Ch. 9.3 - Finding the Coefficient of Determination and the...Ch. 9.3 - Constructing and Interpreting a Prediction...Ch. 9.3 - Constructing and Interpreting a Prediction...Ch. 9.3 - Constructing and Interpreting a Prediction...Ch. 9.3 - Constructing and Interpreting a Prediction...Ch. 9.3 - STEM Employment and Mean Wage The table shows the...Ch. 9.3 - Constructing and Interpreting a Prediction...Ch. 9.3 - Constructing and Interpreting a Prediction...Ch. 9.3 - Fund Assets The table shows the total assets (in...Ch. 9.3 - New-Vehicle Sales The table shows the numbers of...Ch. 9.3 - New-Vehicle Sales The table shows the numbers of...Ch. 9.3 - Old Vehicles In Exercises 3134, use the figure...Ch. 9.3 - Old Vehicles In Exercises 3134, use the figure...Ch. 9.3 - Old Vehicles In Exercises 3134, use the figure...Ch. 9.3 - Old Vehicles In Exercises 3134, use the figure...Ch. 9.3 - Prob. 35ECh. 9.3 - Prob. 36ECh. 9.3 - Prob. 37ECh. 9.3 - In Exercises 37 and 38, construct the indicated...Ch. 9.4 - A statistics professor wants to determine how...Ch. 9.4 - Use the regression equation found in Try It...Ch. 9.4 - Predicting y-Values In Exercises 14, use the...Ch. 9.4 - Predicting y-Values In Exercises 14, use the...Ch. 9.4 - Prob. 3ECh. 9.4 - Predicting y-Values In Exercises 14, use the...Ch. 9.4 - Finding a Multiple Regression Equation In...Ch. 9.4 - Finding a Multiple Regression Equation In...Ch. 9.4 - In Exercises 7 and 8, calculate r2adi and...Ch. 9.4 - In Exercises 7 and 8, calculate r2adi and...Ch. 9 - In Exercises 14, (a) display the data in a scatter...Ch. 9 - In Exercises 14, (a) display the data in a scatter...Ch. 9 - In Exercises 14, (a) display the data in a scatter...Ch. 9 - In Exercises 14, (a) display the data in a scatter...Ch. 9 - Prob. 9.1.5RECh. 9 - Prob. 9.1.6RECh. 9 - Prob. 9.1.7RECh. 9 - Prob. 9.1.8RECh. 9 - In Exercises 912, find the equation of the...Ch. 9 - Prob. 9.2.10RECh. 9 - In Exercises 912, find the equation of the...Ch. 9 - Prob. 9.2.12RECh. 9 - In Exercises 1316, use the value of the...Ch. 9 - Prob. 9.3.14RECh. 9 - Prob. 9.3.15RECh. 9 - Prob. 9.3.16RECh. 9 - Prob. 9.3.17RECh. 9 - Prob. 9.3.18RECh. 9 - Prob. 9.3.19RECh. 9 - Prob. 9.3.20RECh. 9 - Prob. 9.3.21RECh. 9 - In Exercises 1924, construct the indicated...Ch. 9 - Prob. 9.3.23RECh. 9 - Prob. 9.3.24RECh. 9 - Prob. 9.4.25RECh. 9 - Prob. 9.4.26RECh. 9 - Prob. 9.4.27RECh. 9 - Prob. 9.4.28RECh. 9 - Prob. 1CQCh. 9 - For Exercises 18, use the data in the table, which...Ch. 9 - Prob. 3CQCh. 9 - Prob. 4CQCh. 9 - Prob. 5CQCh. 9 - Prob. 6CQCh. 9 - Prob. 7CQCh. 9 - For Exercises 18, use the data in the table, which...Ch. 9 - Prob. 9CQCh. 9 - Net Sales The equation used to predict the net...Ch. 9 - For Exercises 29, use the data in the table, which...Ch. 9 - For Exercises 29, use the data in the table, which...Ch. 9 - For Exercises 29, use the data in the table, which...Ch. 9 - For Exercises 29, use the data in the table, which...Ch. 9 - For Exercises 29, use the data in the table, which...Ch. 9 - For Exercises 29, use the data in the table, which...Ch. 9 - For Exercises 29, use the data in the table, which...Ch. 9 - For Exercises 29, use the data in the table, which...Ch. 9 - Analyzing the Data (a) The data in the table show...Ch. 9 - Making Predictions Construct a 95% prediction...Ch. 9 - Prob. 1TCh. 9 - Prob. 2TCh. 9 - Prob. 3TCh. 9 - Prob. 4TCh. 9 - Prob. 5TCh. 9 - Use technology to find the multiple regression...Ch. 9 - Prob. 7T
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- 1) Match each of the five scatterplots to the appropriate correlation coefficient and equation of regression line. Explain how you know that you have made a correct match. a. r= 0.83, y= -2.1 + 1.4x d. r= -0.83, y = 11.8 – 1.4x b. r= -0.31, y = 7.8 – 0.5x e. r= 0.41, y=1.4 + 1.4x c. r= 0.96, y= -2.1 + 1.4x Scatterplot 1 Scatterplot 2 Scatterplot 3 Scatterplot 4 Scatterplot 5arrow_forwardReport the correlations between the three independent variables (age, educ and Protestant) and your dependent variable (childs). Which category had the correlation that was the weakest?arrow_forwardA sociologist wants to determine if the life expectancy of people in Africa is less than the life expectancy of people in Asia. The data obtained is shown in the table below. Africa Asia = 63.3 yr. 1 X,=65.2 yr. 2 o, = 9.1 yr. = 7.3 yr. n1 = 120 = 150arrow_forward
- An investigator conducted a study to find the relationship between the number of decayed, missing, or filled teeth (DMFT) and sugar consumption. The investigator produced an estimate for the correlation coefficient and provided the following statement: “The correlation between DMFT and sugar consumption is 0.7. State why you are or you are not confident about this investigator’s conclusion. In other words, explain if something is missing from this investigator’s analysis, or if all you need is provided.arrow_forwardA study was done to determine the relationship between the alcohol content of beer, and the amount of calories in a 12 oz serving size. The sample data is provided in the data below. a) From this sample data, can you conclude (at the alpha=0.05 level) that there is in fact a linear correlation between the two variables? Use the statistics (correlation coefficient, value) to describe the correlation (if any). B) Using the sample data, find a regression equation to estimate the number of calories in a beer. C) Dogfish Head Brewery in Milton, Delaware has an I.P.A. beer called "120 minute IPA" which has an alcohol content of 18%. Using your regression equation, estimate the number of calories in a 12 oz serving of 120 Minute. Brand/Beer Alcohol Content (%) Calories (per 12 oz) Big Sky Scape Goat Pale Ale 4.70 163 Sierra Nevada Harvest Ale 6.70 215 Steel Reserve 8.10 222 Coors Light 4.15 104 Genesee Cream Ale 5.10 162 Sierra Nevada Summeefest Beer 5.00 158 Michelob Beer…arrow_forwardPls. help me in my stat about CORRELATION ANALYSIS, SIMPLE REGRESSION ANALYSIS AND PATH ANALYSIS IN Rarrow_forward
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