Elementary Statistics Books a la carte Plus NEW MyLab Statistics with Pearson eText - Access Card Package (6th Edition)
6th Edition
ISBN: 9780133876239
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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As we have noted in previous chapters, even a very small effect can be significant if the sample is large enough. Suppose, for example, that a researcher obtains a correlation (computed from the raw data) of r = 0.60 for a sample of n = 10 participants. (4 pts. total)
Is this sample sufficient to conclude that a significant correlation exists in the population? Use a two-tailed test with α = .05. In your response, be sure to specify the critical value for r.
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 alpha equals 0.05.
Is there sufficient evidence to conclude that there is a linear correlation between overhead widths of seals from photographs and the weights of theseals?
Overhead Width
7.1
7.6
9.7
9.3
8.6
8.2
Weight
115
197
243
198
197
186
The maximum weights (in kilograms) for which one repetition of a half-squat can be performed and the jump heights (in centimeters) for 12 international soccer players are given in the accompanying table. The correlation coefficient, rounded to three decimal places, is r= 0.751. At α = 0.05, is there enough evidence to conclude that there is a significant linear correlation between the variables?
Determine the standardized test statistic
t=?
Chapter 9 Solutions
Elementary Statistics Books a la carte Plus NEW MyLab Statistics with Pearson eText - Access Card Package (6th Edition)
Ch. 9.1 - Prob. 1TYCh. 9.1 - Prob. 2TYCh. 9.1 - Prob. 3TYCh. 9.1 - Prob. 4TYCh. 9.1 - Prob. 5TYCh. 9.1 - Prob. 6TYCh. 9.1 - Prob. 7TYCh. 9.1 - Prob. 1ECh. 9.1 - Prob. 2ECh. 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 - Prob. 8ECh. 9.1 - Graphical Analysis In Exercises 912, determine...Ch. 9.1 - Graphical Analysis In Exercises 912, determine...Ch. 9.1 - Prob. 11ECh. 9.1 - Graphical Analysis In Exercises 912, determine...Ch. 9.1 - Prob. 13ECh. 9.1 - Graphical Analysis In Exercises 912, determine...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 13 and 14, identify the explanatory...Ch. 9.1 - In Exercises 13 and 14, identify the explanatory...Ch. 9.1 - Prob. 21ECh. 9.1 - Prob. 22ECh. 9.1 - Constructing a Scatter Plot and Determining...Ch. 9.1 - Constructing a Scatter Plot and Determining...Ch. 9.1 - Prob. 25ECh. 9.1 - Constructing a Scatter Plot and Determining...Ch. 9.1 - Prob. 27ECh. 9.1 - Prob. 28ECh. 9.1 - Prob. 29ECh. 9.1 - Prob. 30ECh. 9.1 - The t-Test for Correlation Coefficients In...Ch. 9.1 - The t-Test for Correlation Coefficients In...Ch. 9.1 - Prob. 34ECh. 9.1 - Prob. 33ECh. 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 - Prob. 1TYCh. 9.2 - Prob. 2TYCh. 9.2 - Prob. 3TYCh. 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 - Prob. 13ECh. 9.2 - Prob. 14ECh. 9.2 - Prob. 15ECh. 9.2 - Prob. 16ECh. 9.2 - Prob. 17ECh. 9.2 - Prob. 18ECh. 9.2 - Finding the Equation of a Regression Line In...Ch. 9.2 - Prob. 20ECh. 9.2 - Finding the Equation of a Regression Line In...Ch. 9.2 - Finding the Equation of a Regression Line In...Ch. 9.2 - Prob. 23ECh. 9.2 - Prob. 24ECh. 9.2 - Finding the Equation of a Regression Line In...Ch. 9.2 - Finding the Equation of a Regression Line In...Ch. 9.2 - Prob. 27ECh. 9.2 - Prob. 28ECh. 9.2 - Prob. 29ECh. 9.2 - Prob. 30ECh. 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. 9.2 - Prob. 1CSCh. 9.2 - Prob. 2CSCh. 9.2 - Prob. 3CSCh. 9.2 - Prob. 4CSCh. 9.2 - Prob. 5CSCh. 9.3 - Prob. 1TYCh. 9.3 - Prob. 2TYCh. 9.3 - Prob. 3TYCh. 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 - Prob. 12ECh. 9.3 - Prob. 13ECh. 9.3 - Finding the Coefficient of Determination and the...Ch. 9.3 - Prob. 15ECh. 9.3 - Prob. 16ECh. 9.3 - Prob. 17ECh. 9.3 - Prob. 18ECh. 9.3 - Prob. 19ECh. 9.3 - Prob. 20ECh. 9.3 - Constructing and Interpreting a Prediction...Ch. 9.3 - Prob. 22ECh. 9.3 - Prob. 23ECh. 9.3 - Constructing and Interpreting a Prediction...Ch. 9.3 - Prob. 25ECh. 9.3 - Prob. 26ECh. 9.3 - Prob. 27ECh. 9.3 - Prob. 28ECh. 9.3 - Prob. 29ECh. 9.3 - Prob. 30ECh. 9.3 - Prob. 31ECh. 9.3 - Prob. 32ECh. 9.3 - Prob. 33ECh. 9.3 - Prob. 34ECh. 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 - Prob. 1TYCh. 9.4 - Prob. 2TYCh. 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 - Prob. 5ECh. 9.4 - Prob. 6ECh. 9.4 - Prob. 7ECh. 9.4 - Prob. 8ECh. 9 - Prob. 2UACh. 9 - Prob. 9.1.1RECh. 9 - Prob. 9.1.2RECh. 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 - Prob. 9.2.9RECh. 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 - Prob. 2CQCh. 9 - Prob. 3CQCh. 9 - Prob. 4CQCh. 9 - Prob. 5CQCh. 9 - Prob. 6CQCh. 9 - Prob. 7CQCh. 9 - Prob. 8CQCh. 9 - Prob. 9CQCh. 9 - Prob. 1CTCh. 9 - Prob. 2CTCh. 9 - Prob. 3CTCh. 9 - Prob. 4CTCh. 9 - Prob. 5CTCh. 9 - Prob. 6CTCh. 9 - Prob. 7CTCh. 9 - Prob. 8CTCh. 9 - Net Sales The equation used to predict the net...Ch. 9 - Prob. 1RSRDCh. 9 - Prob. 2RSRDCh. 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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- The following data are from a random sample of 10 students who participated in a study undertaken to investigate the effect of sleep time (measured in average number of hours of sleep per night) on GPA (grade point average, measured on a 4-point scale). Student Sleep time GPA 1 7 3.28 2 9 3.16 3 8 3.75 4 6 2.50 5 4 2.45 6 8 2.91 7 7 3.53 8 6 3.02 9 3 2.30 10 8 3.48 a. Find the equation between GPA (y) as function of sleep time (x). b. What is the estimated GPA of a student who averages 5 hours of sleep per night? c. What is the coefficient of determination? *(no use EXCEL)arrow_forward1. Find the correlation coefficient for the measurementsarrow_forwardAre the years of education of a child dependent on the years of education of their parent? The table shows the number of years of education of parent and the number of years of education of their child. Years of Education of Parent 13 9 7 12 12 10 11 Years of Education of their Child 13 11 7 16 17 9 17 Determine the correlation coefficient and briefly describe the relationship between the two variables. Conduct a hypothesis test to determine if there is a significant linear correlation between the two variables. What is the p-value? What is the test statistic?arrow_forward
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