Pearson eText for Basic Business Statistics -- Instant Access (Pearson+)
14th Edition
ISBN: 9780137400119
Author: MARK BERENSON, David Levine
Publisher: PEARSON+
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 3, Problem 58PS
How do the
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
If the Pearson Linear Correlation between a variable X and another variable Y is found to
be .59, and the value of Y is 2 when X is 0, and the straight-line regression line is Y = a*
x + B what is the value for a and b?
The relationship between total cholesterol (milligrams per deciliter) and BMI (Ratio of weight in kilograms to height in metres squared) of 20 participants
is shown in the scatterplot below along with the least squares regression line.
Which of the following statements is correct?
a) The relationship between total cholesterol and BMI is linear as can be seen by the random scatter of the data above and below the least squares regression line.
Both variables are metric and therefore it is appropriate to use Pearson's correlation to measure the linear association between the two variables.
b) The relationship between total cholesterol and BMI is non-linear and since both variables are metric it is appropriate to use Pearson's correlation to measure the linear association between the two variables.
c) The relationship between total cholesterol and BMI is non-linear as can be seen by the patterning of points around the least squares regression line and therefore it is not…
What is the relationship between the amount of time statistics students study per week and their final exam
scores? The results of the survey are shown below.
Time
Score
4 7
64 79
d.
e.
0 7
68 79
1 5
47 67
0
44
a. Find the correlation coefficient: r =
b. The null and alternative hypotheses for correlation are:
Ho: ?=0
H₁: ? 0
4 2
50 66
The p-value is:
(Round to four decimal places)
c. Use a level of significance of a = 0.05 to state the conclusion of the hypothesis test in the context of
the study.
Round to 2 decimal places.
=
There is statistically significant evidence to conclude that a student who spends more time
studying will score higher on the final exam than a student who spends less time studying.
There is statistically significant evidence to conclude that there is a correlation between the
time spent studying and the score on the final exam. Thus, the regression line is useful.
O There is statistically insignificant evidence to conclude that there is a correlation between…
Chapter 3 Solutions
Pearson eText for Basic Business Statistics -- Instant Access (Pearson+)
Ch. 3 - The following set of data is from sample of n=5:...Ch. 3 - The following set of data is from sample of n=6:...Ch. 3 - The following set of data is from sample of n=7:...Ch. 3 - The following set of data is from sample of n=5:...Ch. 3 - Suppose that the rate of return for a particular...Ch. 3 - Suppose that the rate of return for a particular...Ch. 3 - Wired a magazine that delivers a glimpse into the...Ch. 3 - The operation manager of a plant that manufactures...Ch. 3 - Accounting to the U.S Census Bureau (census....Ch. 3 - The files Mobile Speed contain the overall...
Ch. 3 - The file Airport Rating contains the rating of...Ch. 3 - The annual NFL Super Bowl is the most widely...Ch. 3 - The AccountingPartners contains the number of...Ch. 3 - The file MobileCommerce contain the following...Ch. 3 - Prob. 15PSCh. 3 - Prob. 16PSCh. 3 - A bank branch located in a commercial district of...Ch. 3 - Suppose that another bank branch, location in a...Ch. 3 - Prob. 19PSCh. 3 - Prob. 20PSCh. 3 - The file Indices contains the total rate of return...Ch. 3 - In 2013 through 2016, the value of precious metals...Ch. 3 - Using the three-year return percentage variable in...Ch. 3 - Prob. 24PSCh. 3 - Using the three-year return percentage variable in...Ch. 3 - Prob. 26PSCh. 3 - The following is a set of data from a sample of...Ch. 3 - The following is a set of data from a sample of...Ch. 3 - The following is a set of data from a sample of...Ch. 3 - The following is a set of data from a sample of...Ch. 3 - Prob. 31PSCh. 3 - The file MobileCommerce contains the following...Ch. 3 - Prob. 33PSCh. 3 - Prob. 34PSCh. 3 - The file CD Rate contains the yields for one-year...Ch. 3 - A bark branch located in a commercial district of...Ch. 3 - The following is a set of data for a population...Ch. 3 - The following is a set of data for a population...Ch. 3 - The file McDonaldsStores contains the number of...Ch. 3 - Consider a population of 1.024 mutual funds that...Ch. 3 - Prob. 41PSCh. 3 - Prob. 42PSCh. 3 - Thirty companies comprise the DJIA Just how big...Ch. 3 - The following is a set of data from sample of n=11...Ch. 3 - A study of 267 college students investigated the...Ch. 3 - The file Cereals lists the calories and sugar. in...Ch. 3 - Movie companies need to predict the gross receipts...Ch. 3 - The fie Mobile Speed contains the overall download...Ch. 3 - A Pew Research Center survey found a noticeable...Ch. 3 - What are the properties of a set of numerical...Ch. 3 - What is meant by the property of central tendency?Ch. 3 - What are the differences among the mean, median,...Ch. 3 - How do you interpret the first quartile, median,...Ch. 3 - What is meant by the property of variation?Ch. 3 - What does the Z score measure?Ch. 3 - What are the differences among the various...Ch. 3 - How does the empirical rule help explain the ways...Ch. 3 - How do the empirical rule and the Chebyshev rule...Ch. 3 - What is meant by the property of shape?Ch. 3 - What is the difference between skewness and...Ch. 3 - What is the difference between the arithmetic mean...Ch. 3 - How do the covariance and the coefficient of...Ch. 3 - The American Society for Quality (ASQ) conducted a...Ch. 3 - Prob. 64PSCh. 3 - One of the 111801 measures of the quality of...Ch. 3 - Call centers today play an important role in...Ch. 3 - The financial services call center also monitors...Ch. 3 - Prob. 68PSCh. 3 - A quality characteristic of interest for a...Ch. 3 - The manufacturer of Boston and Vermont asphalt...Ch. 3 - Prob. 71PSCh. 3 - The file Protein contains calories. protein. and...Ch. 3 - What was the mean price of a room at two-star,...Ch. 3 - The file Property Taxes contains the property...Ch. 3 - Have you wondered how Internet connection speed...Ch. 3 - Prob. 76PSCh. 3 - Prob. 77PSCh. 3 - Prob. 78PSCh. 3 - You are planning to study for your statistics...Ch. 3 - The file DomesticBeer contains the percentage...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Similar questions
- (1) If X is measured in dollars ($), and Y is measured in meters (m), what is the unit of measurement for the covariance of X and Y? What is the unit of measurement for the correlation coefficient of X and Y? (2) If the Type II error of a hypothesis test is 0.10, what is the power of the test? Show steps.arrow_forwardThe equation of a regression line between two variables x and y and the correlation coefficient were computed as shown here. Which of the following statements are true? y=-3x+2 r=-95 I) The variable y is positively correlated to the variable x II) The variable y is negatively correlated to the variable x II) 95% percent of variation in the y variable can be explained by the x variable IV) 90.25% percent of variation in the y variable can be explained by the x variable O I and III only I and IV only O Il and III only O Il and IV onlyarrow_forward7. Battery life has a strong, negative, linear relationship with temperature. If the least-squares regression line using xx = temperature explains 90% of the variation in battery life, which of the following must be the correlation, rr, between battery life and temperature? (A) -0.90 (B) 0.90 (C) -0.95 (D) 0.95 (E) Cannot be determined without the original data. Submit Answerarrow_forward
- 8. You collect data on people's height and study the relationship between gender and height. A regression of the height on a binary variable (Female), which takes a value of one for females and zero otherwise, yields the following result: Height = 71.0- 4.84 x Female, R2 = 0.40, SER = 2.0 (0.3) (0.57) (a) What is the sample average male height? (b) What is the sample average female height? I (c) How to interpret the slope coefficient -4.84? (d) Is the error term in the regression more likely to be heteroskedastic or homoscedastic? Why? R English (United States) D'Focus Page 9 of 10 920 words 100%arrow_forward29) Two variables are measured on a random sample of n = 23. The sample data results ina sample correlation of 0.393. If you fit a simple regression model to the data, whatvalue would the coefficient of determination (or R-squared) take on?A) 0.627B) 0.393C) 0.154D) 0.000E) 0.296arrow_forwardIf an independent variable's null hypothesis is rejected, it should remain in the model. True Falsearrow_forward
- Bardi Trucking Co., located in Cleveland, Ohio, makes deliveries in the Great Lakes region, the Southeast, and the Northeast. Jim Bardi, the president, is studying the relationship between the distance a shipment must travel and the length of time, in days, it takes the shipment to arrive at its destination. To investigate, Mr. Bardi selected a random sample of 20 shipments made last month. Shipping distance is the independent variable and shipping time is the dependent variable. The results are as follows: b-1. Fill in the blanks. (Round your answers to 3 decimal places. Negative values should be indicated by minus sign.) x⎯⎯x¯ y⎯⎯y¯ Sx Sy r b-2. State the decision rule for 0.01 significance level: H0: ρ ≤ 0; H1: ρ > 0. (Round your answer to 3 decimal places.) b-3. Compute the value of the test statistic. (Negative value should be indicated by a minus sign. Round your answer to 3 decimal places.) b-4. Can we…arrow_forward3. Please help me with the full solution and answer( this is for my reviewer only) thank youarrow_forwardWhat does a correlation coefficient of 2 indicate? There is a weak relationship between the two quantitative variables. It indicates a calculation error, as the correlation coefficient cannot be 2. There is a strong relationship between the two quantitative variables. It indicates a non-linear relationship between the two quantitative variables. There is no linear relationship between the two quantitative variables.arrow_forward
- Imagine a study where all our data (x, y) falls perfectly on a flat and straight horizontal line. If we calculated the correlation coefficient r for this data, what would it be? What would that mean for our hypotheses?arrow_forwardIQ scores were obtained from randomly selected adopted children living together. For 20 such pairs of children, the linear correlation coefficient is 0.027 and the equation of the regression line is y=-3.22+1.02x, where x represents the IQ score of the older child. Also, the 20 x values have a mean of 104.2 and the 20 y values have a mean of 103.1. What is the best predicted IQ of a younger adopted child, given that the older adopted child in the same family has an IQ of 110arrow_forwardWhat is the formula for calculating the correlation coefficient between two variables x and y?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillBig Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu...
Algebra
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:Houghton Mifflin Harcourt
01 - What Is A Differential Equation in Calculus? Learn to Solve Ordinary Differential Equations.; Author: Math and Science;https://www.youtube.com/watch?v=K80YEHQpx9g;License: Standard YouTube License, CC-BY
Higher Order Differential Equation with constant coefficient (GATE) (Part 1) l GATE 2018; Author: GATE Lectures by Dishank;https://www.youtube.com/watch?v=ODxP7BbqAjA;License: Standard YouTube License, CC-BY
Solution of Differential Equations and Initial Value Problems; Author: Jefril Amboy;https://www.youtube.com/watch?v=Q68sk7XS-dc;License: Standard YouTube License, CC-BY