Intro Stats, Books a la Carte Edition (5th Edition)
5th Edition
ISBN: 9780134210285
Author: Richard D. De Veaux, Paul Velleman, David E. Bock
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Textbook Question
Chapter 7.6, Problem 7JC
Back to our regression of house Price ($) on house Size (square feet):
The R2 value is reported as 57.8%, and the standard deviation of the residuals is $53,790.
7. What does the R2 value mean about the relationship of price and size?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
The correlation coefficient r between the age of a homeowner, x, and the number of years remaining on the homeowner's mortgage, y, is 0.485.
What percent of the variation in the number of years remaining on a mortgage can be explained by differences in homeowners' ages?
Below is a table showing the relationship between age and bone density of a typical healthy adult male.
Age (years)
25
35
45
55
65
75
85
Bone density (mg/cm²)
1165
1135
1085
1060
1015
975
910
Using your line of best fit find the equation for this line.
Describe the correlation between the two variables and what conclusions can you make from this set of data?
Using graph plotted extrapolate to find the bone density of a 90 years old typical adult.
What conclusions can you draw from the residual plot in the photo?
Chapter 7 Solutions
Intro Stats, Books a la Carte Edition (5th Edition)
Ch. 7.4 - A scatterplot of house Price (in dollars) vs....Ch. 7.4 - A scatterplot of house Price (in dollars) vs....Ch. 7.4 - A scatterplot of house Price (in dollars) vs....Ch. 7.4 - A scatterplot of house Price (in dollars) vs....Ch. 7.4 - A scatterplot of house Price (in dollars) vs....Ch. 7.4 - Prob. 6JCCh. 7.6 - Back to our regression of house Price () on house...Ch. 7.6 - Back to our regression of house Price () on house...Ch. 7.6 - Back to our regression of house Price () on house...Ch. 7 - True or false If false, explain briefly. a) We...
Ch. 7 - True or false II If false, explain briefly. a)...Ch. 7 - Prob. 3ECh. 7 - Prob. 4ECh. 7 - Bookstore sales revisited Recall the data we saw...Ch. 7 - Prob. 6ECh. 7 - Prob. 7ECh. 7 - Prob. 8ECh. 7 - Bookstore sales once more Here are the residuals...Ch. 7 - Prob. 10ECh. 7 - Prob. 11ECh. 7 - Prob. 12ECh. 7 - Prob. 13ECh. 7 - Prob. 14ECh. 7 - Prob. 15ECh. 7 - Prob. 16ECh. 7 - More cereal Exercise 15 describes a regression...Ch. 7 - Prob. 18ECh. 7 - Another bowl In Exercise 15, the regression model...Ch. 7 - More engine size In Exercise 16, the regression...Ch. 7 - Cereal again The correlation between a cereals...Ch. 7 - Prob. 22ECh. 7 - Prob. 23ECh. 7 - Prob. 24ECh. 7 - Prob. 25ECh. 7 - Prob. 26ECh. 7 - Prob. 27ECh. 7 - Residuals Tell what each of the residual plots...Ch. 7 - Real estate A random sample of records of home...Ch. 7 - Prob. 30ECh. 7 - Prob. 31ECh. 7 - Prob. 32ECh. 7 - Real estate again The regression of Price on Size...Ch. 7 - Prob. 34ECh. 7 - Prob. 35ECh. 7 - More misinterpretations A Sociology student...Ch. 7 - Real estate redux The regression of Price on Size...Ch. 7 - Prob. 38ECh. 7 - Prob. 39ECh. 7 - Prob. 40ECh. 7 - Prob. 41ECh. 7 - Last ride Consider the roller coasters (with the...Ch. 7 - Prob. 43ECh. 7 - Prob. 44ECh. 7 - Prob. 45ECh. 7 - Prob. 46ECh. 7 - Prob. 47ECh. 7 - Prob. 48ECh. 7 - Prob. 49ECh. 7 - Interest rates and mortgages 2015 again In Chapter...Ch. 7 - Online clothes An online clothing retailer keeps...Ch. 7 - Online clothes II For the online clothing retailer...Ch. 7 - Prob. 53ECh. 7 - Success in college Colleges use SAT scores in the...Ch. 7 - SAT, take 2 Suppose we wanted to use SAT math...Ch. 7 - Prob. 56ECh. 7 - Prob. 57ECh. 7 - Wildfires 2015sizes We saw in Exercise 57 that the...Ch. 7 - Used cars 2014 Carmax.com lists numerous Toyota...Ch. 7 - Drug abuse revisited Chapter 6, Exercise 42...Ch. 7 - Prob. 61ECh. 7 - Prob. 62ECh. 7 - Prob. 63ECh. 7 - Chicken Chicken sandwiches are often advertised as...Ch. 7 - Prob. 65ECh. 7 - Cost of living 2016 Numbeo.com lists the cost of...Ch. 7 - Prob. 67ECh. 7 - Prob. 68ECh. 7 - Prob. 69ECh. 7 - Climate change 2016, revisited In Exercise 69, we...Ch. 7 - Prob. 71ECh. 7 - Prob. 72ECh. 7 - Prob. 73ECh. 7 - Heptathlon revisited again We saw the data for the...Ch. 7 - Hard water In an investigation of environmental...Ch. 7 - Gators Wildlife researchers monitor many wildlife...Ch. 7 - Prob. 77ECh. 7 - Least squares Consider the four points (200,1950),...
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
- Can the average rate of change of a function be constant?arrow_forwardRespiratory Rate Researchers have found that the 95 th percentile the value at which 95% of the data are at or below for respiratory rates in breath per minute during the first 3 years of infancy are given by y=101.82411-0.0125995x+0.00013401x2 for awake infants and y=101.72858-0.0139928x+0.00017646x2 for sleeping infants, where x is the age in months. Source: Pediatrics. a. What is the domain for each function? b. For each respiratory rate, is the rate decreasing or increasing over the first 3 years of life? Hint: Is the graph of the quadratic in the exponent opening upward or downward? Where is the vertex? c. Verify your answer to part b using a graphing calculator. d. For a 1- year-old infant in the 95 th percentile, how much higher is the walking respiratory rate then the sleeping respiratory rate? e. f.arrow_forwardWhat does the y -intercept on the graph of a logistic equation correspond to for a population modeled by that equation?arrow_forward
- What is regression analysis? Describe the process of performing regression analysis on a graphing utility.arrow_forwardThe US. import of wine (in hectoliters) for several years is given in Table 5. Determine whether the trend appearslinear. Ifso, and assuming the trend continues, in what year will imports exceed 12,000 hectoliters?arrow_forwardSuppose you examined blood of 36 patients with the aim to study the relation between sugar level in blood (in mg/dL) and the amount of artificial sweetener (measured in grams). Your regression shows: blood=7.1 + 0.4*sweatener - 0.2*female. What is the most precide interpretation of the estimated coefficient for the constant?arrow_forward
- Suppose the correlation between height and weight for adults is +0.80. What proportion (or percent) of the variability in weight is due to the relationship with height (i.e., what is the R2)?arrow_forwardThe mean height of American women in their twenties is about 64.3 inches, and the standard deviation is about 2.7 inches. The mean height of men the same age is about 69.9 inches, with standard deviation about 3.1 inches. Suppose that the correlation between the heights of husbands and wives is about r=0.5. What are the slope and intercept of the regression line of the husband’s height on the wife’s height in young couples? Interpret the slope in the context of the problem. Draw a graph of this regression line for heights of wives between 56 and 72 inches. Predict the height of the husband of a woman who is 67 inches tall and plot the wife’s height and predicted husband’s height on your graph. You don’t expect this prediction for a single couple to be very accurate. Why notarrow_forwardTo estimate the relationship between Mustang price and mileage you set up the appropriate regression model.arrow_forward
- In a sample of cars reviewed by Motor Trend magazine, the mean horsepower (hp) was 150 hp with a standard deviation of 36 hp. The mean weight (lbs) was 2500 lbs with a standard deviation of 720 lbs. Assume the relationship between weight and horsepower is linear and has a correlation of r = +0.55. What is the slope of the linear regression model predicting weight (y-variable) from horsepower (x-variable)? using the value of the slope you found, now compute the intercept of the linear regression model predicting weight (y-variable) from horsepower (x-variable). 850 550 1150 250arrow_forwardThe means and standard deviations are given in the data table. With a correlation of 0.826, calculate the slope and explain what the slope tell you in the context of this problem. Calculate the intercept and explain what the intercept tell you in the context of this problem. For the individual with dose = 2.02, what is the predicted AZT concentration and what is the residual?arrow_forwardData were collected to explain the amount of a customer’s purchase (expressed in $’s) based on the amount of time the customer has spent on the company’s website (expressed in minutes) Based on the regression results, answer the following questions a) What is the estimated regression equation? b) What percentage of the variation in purchase amount is explained by time? c) What is the correlation between purchase amount and time?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
- Trigonometry (MindTap Course List)TrigonometryISBN:9781337278461Author:Ron LarsonPublisher:Cengage LearningBig Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin HarcourtCalculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
Trigonometry (MindTap Course List)
Trigonometry
ISBN:9781337278461
Author:Ron Larson
Publisher:Cengage Learning
Big Ideas Math A Bridge To Success Algebra 1: Stu...
Algebra
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:Houghton Mifflin Harcourt
Calculus For The Life Sciences
Calculus
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:Pearson Addison Wesley,
Hypothesis Testing using Confidence Interval Approach; Author: BUM2413 Applied Statistics UMP;https://www.youtube.com/watch?v=Hq1l3e9pLyY;License: Standard YouTube License, CC-BY
Hypothesis Testing - Difference of Two Means - Student's -Distribution & Normal Distribution; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=UcZwyzwWU7o;License: Standard Youtube License