Fundamentals of Statistics (5th Edition)
5th Edition
ISBN: 9780134508306
Author: Michael Sullivan III
Publisher: PEARSON
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Textbook Question
Chapter 4, Problem 7RE
Use the results from Problems 2 and 4 to compute and interpret R2.
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2. Compute the following equation
4
1
2
3 2
4
9
-1
회
An instructor of mathematics wishes to determine the relationship of grades
on a final examination to grades on two quizes given during the semester. Costing X1, X2
and X3 the grades of a student on the first quiz, second quiz and final examination respec-
tively, he made the following computations for a total of 120 students:
X, = 6-8
X2 = 0-7
X3 = 74
S; = 1-0
S, = 0-80
%D
S3 = 9-0
12 = 0-60
13 = 0-70
23 = 0-65
() Find the least square regression equation of X3 on X1 and X2.
(i) Estimate the final grades of two students who scored respectively 9 and 7, 4 and 8 on the
two quizes.
Problem 2. If every boy in a class buys a doughnut and every girl buys a karipap, then
they will spend one sen less than if every boy buys a karipap and every girl buys
a doughnut. We know that there are more boys than girls. Find the difference
between the number of boys and the number of girls.
Chapter 4 Solutions
Fundamentals of Statistics (5th Edition)
Ch. 4.1 - What is the difference between univariate data and...Ch. 4.1 - The _____ variable is the variable whose value can...Ch. 4.1 - A _____ _____ is a graph that shows the relation...Ch. 4.1 - What does it mean to say two variables are...Ch. 4.1 - If r = _____, then a perfect negative linear...Ch. 4.1 - True or False: If the linear correlation...Ch. 4.1 - A _____ variable is a variable that is related to...Ch. 4.1 - True or False: Correlation implies causation.Ch. 4.1 - In Problems 912, determine whether the scatter...Ch. 4.1 - In Problems 912, determine whether the scatter...
Ch. 4.1 - In Problems 912, determine whether the scatter...Ch. 4.1 - In Problems 912, determine whether the scatter...Ch. 4.1 - NW Match the linear correlation coefficient to the...Ch. 4.1 - Match the linear correlation coefficient to the...Ch. 4.1 - Prob. 15AYUCh. 4.1 - Relation between Education and Birthrate? The...Ch. 4.1 - In Problems 1720, (a) draw a scatter diagram of...Ch. 4.1 - In Problems 1720, (a) draw a scatter diagram of...Ch. 4.1 - In Problems 1720, (a) draw a scatter diagram of...Ch. 4.1 - In Problems 1720, (a) draw a scatter diagram of...Ch. 4.1 - Name the Relation, Part I For each of the...Ch. 4.1 - Prob. 22AYUCh. 4.1 - The TIMMS Exam The Trends in International...Ch. 4.1 - Prob. 24AYUCh. 4.1 - NW An Unhealthy Commute The Gallup Organization...Ch. 4.1 - Credit Scores Your Fair Isaacs Corporation (FICO)...Ch. 4.1 - Height versus Head Circumference A pediatrician...Ch. 4.1 - American Black Bears The American black bear...Ch. 4.1 - Weight of a Car versus Miles per Gallon An...Ch. 4.1 - Hurricanes The data in the next column represent...Ch. 4.1 - CEO Performance The following data represent the...Ch. 4.1 - Bear Markets A bear market in the stock market is...Ch. 4.1 - Does Size Matter? Researchers wondered whether the...Ch. 4.1 - Prob. 34AYUCh. 4.1 - Weight of a Car versus Miles per Gallon Suppose...Ch. 4.1 - American Black Bears The website that contained...Ch. 4.1 - Draw Your Data! Consider the four data sets shown...Ch. 4.1 - Predicting Winning Percentage The ultimate goal in...Ch. 4.1 - Prob. 39AYUCh. 4.1 - Lyme Disease versus Drownings Lyme disease is an...Ch. 4.1 - Prob. 41AYUCh. 4.1 - Prob. 42AYUCh. 4.1 - Crime Rate and Cell Phones The linear correlation...Ch. 4.1 - Prob. 44AYUCh. 4.1 - Influential Consider the following set of data: a....Ch. 4.1 - Prob. 46AYUCh. 4.1 - Prob. 47AYUCh. 4.1 - Prob. 48AYUCh. 4.1 - What does it mean to say that the linear...Ch. 4.1 - What does it mean if r = 0?Ch. 4.1 - Prob. 51AYUCh. 4.1 - Prob. 52AYUCh. 4.1 - Explain the difference between correlation and...Ch. 4.1 - Suppose that two variables, x and y, are...Ch. 4.2 - The difference between the observed and predicted...Ch. 4.2 - If the linear correlation between two variables is...Ch. 4.2 - Prob. 3AYUCh. 4.2 - Prob. 4AYUCh. 4.2 - For the data set a. Draw a scatter diagram....Ch. 4.2 - For the data set a. Draw a scatter diagram....Ch. 4.2 - In Problems 712: a. By hand, draw a scatter...Ch. 4.2 - In Problems 712: a. By hand, draw a scatter...Ch. 4.2 - Prob. 9AYUCh. 4.2 - In Problems 712: a. By hand, draw a scatter...Ch. 4.2 - In Problems 712: a. By hand, draw a scatter...Ch. 4.2 - In Problems 712: a. By hand, draw a scatter...Ch. 4.2 - NW Income and Education In Problem 15 from Section...Ch. 4.2 - You Explain It! Study Time and Exam Scores After...Ch. 4.2 - Age Gap at Marriage Is there a relation between...Ch. 4.2 - You Explain It! CO2 and Energy Production The...Ch. 4.2 - NW An Unhealthy Commute (Refer to Problem 25,...Ch. 4.2 - Credit Scores (Refer to Problem 26, Section 4.1.)...Ch. 4.2 - Height versus Head Circumference (Refer to Problem...Ch. 4.2 - Prob. 20AYUCh. 4.2 - Weight of a Car versus Miles per Gallon (Refer to...Ch. 4.2 - Hurricanes (Refer to Problem 30, Section 4.1) The...Ch. 4.2 - Cola Consumption vs. Bone Density Example 5 in...Ch. 4.2 - Attending Class The following data represent the...Ch. 4.2 - CEO Performance (Refer to Problem 31 in Section...Ch. 4.2 - Bear Markets (Refer to Problem 32, Section 4.1) A...Ch. 4.2 - Male vs. Female Drivers (Refer to Problem 34,...Ch. 4.2 - Graduation Rates Go to...Ch. 4.2 - Putting It Together: Housing Prices One of the...Ch. 4.2 - Putting It Together: Smoking and Birth Weight It...Ch. 4.2 - What is a residual? What does it mean when a...Ch. 4.2 - Explain the phrase outside the scope of the model....Ch. 4.2 - Explain what each point on the least-squares...Ch. 4.3 - The _____ _____ _____, R2, measures the proportion...Ch. 4.3 - Total deviation = _____ deviation + _____...Ch. 4.3 - Match each coefficient of determination to a...Ch. 4.3 - NW The Other Old Faithful Perhaps you are familiar...Ch. 4.3 - Concrete As concrete cures, it gains strength. The...Ch. 4.3 - Prob. 7AYUCh. 4.3 - Problems 712 use the results from Problems 2530 in...Ch. 4.3 - Prob. 9AYUCh. 4.3 - Problems 712 use the results from Problems 2530 in...Ch. 4.3 - Problems 712 use the results from Problems 2530 in...Ch. 4.3 - Prob. 12AYUCh. 4.3 - Weight of a Car versus Miles per Gallon Suppose...Ch. 4.3 - American Black Bears Suppose that we find a bear...Ch. 4.3 - Putting It Together: Exam Scores The data below...Ch. 4.3 - Sullivan Survey II Go to...Ch. 4.4 - What is meant by a marginal distribution? What is...Ch. 4.4 - Refer to Table 8. Is constructing a conditional...Ch. 4.4 - Prob. 3AYUCh. 4.4 - Explain the idea behind Simpsons Paradox.Ch. 4.4 - In Problems 5 and 6, a. Construct a frequency...Ch. 4.4 - In Problems 5 and 6, a. Construct a frequency...Ch. 4.4 - Made in America In a recent Harris Poll, a random...Ch. 4.4 - Desirability Traits In a recent Harris Poll, a...Ch. 4.4 - NW Party Affiliation Is there an association...Ch. 4.4 - Prob. 10AYUCh. 4.4 - Health and Happiness The General Social Survey...Ch. 4.4 - Happy in Your Marriage? The General Social Survey...Ch. 4.4 - Prob. 13AYUCh. 4.4 - Treating Kidney Stones Researchers conducted a...Ch. 4.4 - Sullivan Survey II Go to...Ch. 4 - Basketball Spreads In sports betting, Las Vegas...Ch. 4 - Fat and Calories in Cheeseburgers A nutritionist...Ch. 4 - Prob. 3RECh. 4 - Prob. 4RECh. 4 - Prob. 5RECh. 4 - a. Draw a scatter diagram treating x as the...Ch. 4 - Use the results from Problems 2 and 4 to compute...Ch. 4 - Prob. 8RECh. 4 - Prob. 9RECh. 4 - New versus Used Car Satisfaction Are you more...Ch. 4 - Unemployment Rates Recessions are an economic...Ch. 4 - Prob. 12RECh. 4 - Prob. 13RECh. 4 - Prob. 1CTCh. 4 - Use the data from Problem 1. a. Find the...Ch. 4 - Use the results from Problems 1 and 2 to compute...Ch. 4 - The following data represent the speed of a car...Ch. 4 - Prob. 5CTCh. 4 - Prob. 6CTCh. 4 - Consider the following contingency table, which...Ch. 4 - What would you say about a set of quantitative...Ch. 4 - If the slope of a least-squares regression line is...Ch. 4 - What does it mean if a linear correlation...
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- 390 • 381 142 (Round to three decimal places as needed.)arrow_forwardFor this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding. In a combined study of northern pike, cutthroat trout, rainbow trout, and lake trout, it was found that 22 out of 833 fish died when caughtarrow_forwardSolve for number 10 only please. 9 has already been solved.arrow_forward
- A. Solve the following. BEX 1. 3x + 5 = 35 3. x + 2 =7 + 2. 7x 6 = 15 %3D %3D 4. 6. 2x + 4 = 8 %3D 4. 6x - 3 = 45 5. x - 3 = 6 6. 7. 9x - 3 = 60 8. x + 5 = 11 4 9. 4x - 10 = 30 ne 10. x - 2 = 8 3 |11. 6x - 3 = 15 . 12. x - 5 = 1 3. 13. 7x - 3 = 25s 14. X - 2 = 4 2 -15. 6x + 2 = 14 %3D %3D %3D (NOISIA 8-18. 6x - 4 = 14 -IS 16. 12x + 12 = 156 17. x - 2 = 10 %3D %3D 19. X + 2 = 3 20. 4x + 7 = 95 0= 21. 6x + 3 = 33 38 3. B. Extra Practice. Solve the following. 30 34 33 2. 3x + 1 = 16 3. 2y + 4 = 10 1. 5a + 6 = 16 %3D 6. 7x + 5 = 26 33 X- 1 4. 4x + 5 = 17 5. X - 3 = 8 %3D %3D %3| 9. 8. X + 5 = 9 9. 5x + 2 = 17 I + * E 7. 4x - 3 = 17A %3D %3D 11. 6x + 2 = 44 12. x - 5 = 7 10. 3x - 8 = 1 %3D %3D %3| 14. 14x - 38 = 116 15. 15x + 20 = 95 %3D 13. 8x + 5 = 29 18. 8x + 2 = 26 17. x + 6 = 9 5pot 16. 7z - 22 = 27 %3D | 20. 4n + 8 = 36 21. 25x + 14 = 139 - 19. 12n - 11 = 133 %3D 23. 2x + 5 = 9 24. 1x - 5 = 9 %3D 22. 9x + 2 = 65 %3D %3| 26. 3x + 6 = 15 27. 20x - 7 = 73 25. X + 9 = 10 2 %3D %3D %3D 29.…arrow_forwardFind A. 5 -2 (4)–1 -4 2 A = IIarrow_forwardI need the correct answer for the above question whose reverse is not correct.arrow_forward
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