MATH.STATISTICS W/APPL.>CUSTOM<
7th Edition
ISBN: 9781285923789
Author: Wackerly
Publisher: CENGAGE C
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Question
Chapter 11.8, Problem 50E
a.
To determine
Obtain the behaviour of coefficient of determination when the fit of the line improves.
b.
To determine
Find the value of coefficient of determination.
Find the value of
c.
To determine
Obtain the reason for larger coefficient of determination value than the coefficient of determination in Exercise 11.49(b).
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
A least squares regression model performed to predict the selling price of houses found the following
equation: Pricê = 169.328+35.3Area + 0.718Lotsize - 6543Age where Price is in dollars, Area is
in square feet, Lotsize is in square feet, and Age is in years. The R2 is 0.92. One of the following
interpretations is correct. Which is it? Explain why.
a.) Each year a house Ages, it is worth $6543 less.
b.) Every extra square foot of Area is associated with an additional $35.30 in average price, for houses
with a given Lotsize and Age.
c.) Every dollar in price means Lotsize increases 0.718 square feet.
d.) This model fits 92% of the data points exactly.
The data shown was generated by suspending weights, whose mass is measured in kg, from a rubber band, which stretches by the amount shown, measured in meters. Find the least squares line for this data set and interpret the results. What is the meaning of the slope in the context of this problem? How much stretch does your model predict for a 4.20 kg weight?
thumbs up if correct!
Chapter 11 Solutions
MATH.STATISTICS W/APPL.>CUSTOM<
Ch. 11.3 - If 0 and 1 are the least-squares estimates for the...Ch. 11.3 - Prob. 2ECh. 11.3 - Fit a straight line to the five data points in the...Ch. 11.3 - Auditors are often required to compare the audited...Ch. 11.3 - Prob. 5ECh. 11.3 - Applet Exercise Refer to Exercises 11.2 and 11.5....Ch. 11.3 - Prob. 7ECh. 11.3 - Laboratory experiments designed to measure LC50...Ch. 11.3 - Prob. 9ECh. 11.3 - Suppose that we have postulated the model...
Ch. 11.3 - Some data obtained by C.E. Marcellari on the...Ch. 11.3 - Processors usually preserve cucumbers by...Ch. 11.3 - J. H. Matis and T. E. Wehrly report the following...Ch. 11.4 - a Derive the following identity:...Ch. 11.4 - An experiment was conducted to observe the effect...Ch. 11.4 - Prob. 17ECh. 11.4 - Prob. 18ECh. 11.4 - A study was conducted to determine the effects of...Ch. 11.4 - Suppose that Y1, Y2,,Yn are independent normal...Ch. 11.4 - Under the assumptions of Exercise 11.20, find...Ch. 11.4 - Prob. 22ECh. 11.5 - Use the properties of the least-squares estimators...Ch. 11.5 - Do the data in Exercise 11.19 present sufficient...Ch. 11.5 - Use the properties of the least-squares estimators...Ch. 11.5 - Let Y1, Y2, . . . , Yn be as given in Exercise...Ch. 11.5 - Prob. 30ECh. 11.5 - Using a chemical procedure called differential...Ch. 11.5 - Prob. 32ECh. 11.5 - Prob. 33ECh. 11.5 - Prob. 34ECh. 11.6 - For the simple linear regression model Y = 0 + 1x...Ch. 11.6 - Prob. 36ECh. 11.6 - Using the model fit to the data of Exercise 11.8,...Ch. 11.6 - Refer to Exercise 11.3. Find a 90% confidence...Ch. 11.6 - Refer to Exercise 11.16. Find a 95% confidence...Ch. 11.6 - Refer to Exercise 11.14. Find a 90% confidence...Ch. 11.6 - Prob. 41ECh. 11.7 - Suppose that the model Y=0+1+ is fit to the n data...Ch. 11.7 - Prob. 43ECh. 11.7 - Prob. 44ECh. 11.7 - Prob. 45ECh. 11.7 - Refer to Exercise 11.16. Find a 95% prediction...Ch. 11.7 - Refer to Exercise 11.14. Find a 95% prediction...Ch. 11.8 - The accompanying table gives the peak power load...Ch. 11.8 - Prob. 49ECh. 11.8 - Prob. 50ECh. 11.8 - Prob. 51ECh. 11.8 - Prob. 52ECh. 11.8 - Prob. 54ECh. 11.8 - Prob. 55ECh. 11.8 - Prob. 57ECh. 11.8 - Prob. 58ECh. 11.8 - Prob. 59ECh. 11.8 - Prob. 60ECh. 11.9 - Refer to Example 11.10. Find a 90% prediction...Ch. 11.9 - Prob. 62ECh. 11.9 - Prob. 63ECh. 11.9 - Prob. 64ECh. 11.9 - Prob. 65ECh. 11.10 - Refer to Exercise 11.3. Fit the model suggested...Ch. 11.10 - Prob. 67ECh. 11.10 - Fit the quadratic model Y=0+1x+2x2+ to the data...Ch. 11.10 - The manufacturer of Lexus automobiles has steadily...Ch. 11.10 - a Calculate SSE and S2 for Exercise 11.4. Use the...Ch. 11.12 - Consider the general linear model...Ch. 11.12 - Prob. 72ECh. 11.12 - Prob. 73ECh. 11.12 - An experiment was conducted to investigate the...Ch. 11.12 - Prob. 75ECh. 11.12 - The results that follow were obtained from an...Ch. 11.13 - Prob. 77ECh. 11.13 - Prob. 78ECh. 11.13 - Prob. 79ECh. 11.14 - Prob. 80ECh. 11.14 - Prob. 81ECh. 11.14 - Prob. 82ECh. 11.14 - Prob. 83ECh. 11.14 - Prob. 84ECh. 11.14 - Prob. 85ECh. 11.14 - Prob. 86ECh. 11.14 - Prob. 87ECh. 11.14 - Prob. 88ECh. 11.14 - Refer to the three models given in Exercise 11.88....Ch. 11.14 - Prob. 90ECh. 11.14 - Prob. 91ECh. 11.14 - Prob. 92ECh. 11.14 - Prob. 93ECh. 11.14 - Prob. 94ECh. 11 - At temperatures approaching absolute zero (273C),...Ch. 11 - A study was conducted to determine whether a...Ch. 11 - Prob. 97SECh. 11 - Prob. 98SECh. 11 - Prob. 99SECh. 11 - Prob. 100SECh. 11 - Prob. 102SECh. 11 - Prob. 103SECh. 11 - An experiment was conducted to determine the...Ch. 11 - Prob. 105SECh. 11 - Prob. 106SECh. 11 - Prob. 107SE
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
- A survey which asked about study time and exam score has data as shown on the scatter plot. The least squares line was also graphed and the equation is below. e = 1.04 t + 38.4 100 90 80 70 60 10 20 30 40 50 60 50 Study Time, t [minutes] For a student who studies for 28 minutes, use the equation to predict the exam score. Round to the nearest whole number. Select an answer v Next, find the predicted score for a student who studies 42 minutes and complete the sentence below. The predicted score was Select an answer v than the actual score by points.arrow_forwardThe data in the table represent the weights of various domestic cars and their miles per gallon in the city for the 2008 model year. For these data, the least-squares regression line is y = - 0.006x + 41.337. A twelfth car weighs 3,425 pounds and gets 12 miles per gallon. (a) The coefficient of determination of the expanded data set is R = %. (Round to one decimal place as needed.) Data Table How does the addition of the twelfth car to the data set affect R? Miles per Weight |(pounds), x A. It increases R. Gallon, y Car 1 3,771 22 B. It decreases R2. Car 2 3,990 19 C. It does not affect R2. 3,534 Car 3 20 Car 4 3,172 24 (b) Is the point corresponding to the twelfth car influential? Is it an outlier? Car 5 2,579 27 Car 6 3,730 20 A. No, it is not influential. Yes, it is an outlier. Car 7 2,605 25 B. Yes, it is influential. No, it is not an outlier. Car 8 3,777 19 C. No, it is not influential. No, it is not an outlier. Car 9 3,308 19 D. Yes, it is influential. Yes, it is an outlier. Car…arrow_forwardA pediatrician wants to determine the relation that exists between a child's height, x, and head circumference, v. She randomly selects 11 children from her practice, measures their heights and head circumferences, and obtains the accompanying data. Complete parts (a) through (g) below. A Click the icon to view the children's data. (a) Find the least-squares regression line treating height as the explanatory variable and head circumference as the response variable. y=x+ (D (Round the slope to three decimal places and round the constant to one decimal place as needed.) (b) Interpret the slope and y-intercept, if appropriate. First interpret the slope. Select the correct choice below and, if necessary. in the answer box to complete your choice. O A. For every inch increase in height, the head circumference increases by (Round to three decimal places as needed.) in., on average. O B. For a height of 0 inches, the head circumference is predicted to be (Round to three decimal places as…arrow_forward
- JUST ANSWER THE LETTER D AND E A Zumba instructor remembers the data given in the following table, which shows the recommended maximum exercise heart rates for individuals of the given ages. Age (x years) 20 40 60 Maximum heart rate 170 153 136 (y beats per minute) a. Find the linear correlation coefficient for the data. b. What is the significance of the value found in part a? c. Find the equation of the least-squares line. d. Use the equation from part c to predict the maximum exercise heart rate for a person who is 72. e. Is the procedure in part d an example of interpolation or extrapolation?arrow_forwardHelp please!arrow_forwardFor a class project, you measure the weight in grams (g) and the tail length in millimeters (mm) of a group of mice. The equation of the least-squares line for predicting tail length from weight is: predicted tail length = 19 + 5 (Weight) By looking at the equation for the regression line, what can you tell about the correlation between weight and tail length is?arrow_forward
- Answer Part 2. Don't forget least-square regression line. Dont skip numbers on the graph. (this 1,2,3,4, not 2,4,6)arrow_forwardFour points have these coordinates: 1 y 5. 4 Find the least-squares line for the data. y=5+0.6 x O ŷ=0.6 - 5.5 x y=5.5-0.6 x O ŷ=6-5.5 x 3. 3. 4.arrow_forwardPlease label each part SUBPARTarrow_forward
- The following table gives retail values of a 2017 Corvette for various odometer readings. (a) Find the equation of the least-squares line for the data. (Where odometer reading is the independent variable, x, and retail value is the dependent variable. Round your numerical values to two decimal places.) y= ? (b) Use the equation from part (a) to predict the retail price of a 2017 Corvette with an odometer reading of 28,000. Round to the nearest $100. $ ? (c) Find the linear correlation coefficient for these data. (Round your answer to four decimal places.) r = ?arrow_forwardthe scatter plot displays the number of pretzels students could grab with their dominant hand and their handspan, measured in centimeters. the equation of the line y=-14.7+1.59x is called the least-squares regression line because itarrow_forwardhow to solve?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 Hill
Linear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
Big Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt
Elementary Linear Algebra (MindTap Course List)AlgebraISBN:9781305658004Author:Ron LarsonPublisher:Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
Linear Algebra: A Modern Introduction
Algebra
ISBN:9781285463247
Author:David Poole
Publisher:Cengage Learning
Big Ideas Math A Bridge To Success Algebra 1: Stu...
Algebra
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:Houghton Mifflin Harcourt
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:9781305658004
Author:Ron Larson
Publisher:Cengage Learning
Correlation Vs Regression: Difference Between them with definition & Comparison Chart; Author: Key Differences;https://www.youtube.com/watch?v=Ou2QGSJVd0U;License: Standard YouTube License, CC-BY
Correlation and Regression: Concepts with Illustrative examples; Author: LEARN & APPLY : Lean and Six Sigma;https://www.youtube.com/watch?v=xTpHD5WLuoA;License: Standard YouTube License, CC-BY