Intro Stats, Books a la carte Plus NEW MyLab Statistics with Pearson eText -- Access Card Package (5th Edition)
5th Edition
ISBN: 9780134210247
Author: Richard D. De Veaux, Paul Velleman, David E. Bock
Publisher: PEARSON
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Textbook Question
Chapter 7, Problem 78E
Least squares Consider the four points (200,1950), (400,1650), (600,1800), and (800,1600). The least squares line is ŷ = 1975 – 0.45x. Explain what “least squares” means, using these data as a specific example.
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Least squares II Consider the four points (200,1950),(400,1650), (600,1800), and (800,1600). The leastsquares line is yn = 1975 - 0.45x. Explain what “leastsquares” means, using these data as a specific example.
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Chapter 7 Solutions
Intro Stats, Books a la carte Plus NEW MyLab Statistics with Pearson eText -- Access Card Package (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),...
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- Cellular Phone Subscribers The table shows the numbers of cellular phone subscribers y in millions in the United States from 2008 through 2013. Source: CTIA- The Wireless Association Year200820092010201120122013Number,y270286296316326336 (a) Find the least squares regression line for the data. Let x represent the year, with x=8 corresponding to 2008. (b) Use the linear regression capabilities of a graphing utility to find a linear model for the data. How does this model compare with the model obtained in part a? (c) Use the linear model to create a table of estimated values for y. Compare the estimated values with the actual data.arrow_forwardThe 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?arrow_forwardThe final question in the example is (f) Suppose a pharmaceutical company has 12 different research programs. What does the least-squares equation forecast for y = mean number of patents per program? (Round your answer to two decimal places.) patents per programarrow_forward
- 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.arrow_forwardLeast squares I Consider the four points (10, 10), (20,50), (40, 20), and (50,80). The least squares line isyn = 7.0 + 1.1x. Explain what “least squares” means,using these data as a specific example.arrow_forwardthumbs up if correct!arrow_forward
- The accompanying data resulted from an experiment in which weld diameter x and shear strength y (in pounds) were determined for five different spot welds on steel. A scatterplot shows a pronounced linear pattern. The least-squares line is = -964.98 + 8.60x. Because 1 lb = 0.4536 kg, strength observations can be re-expressed in kilograms through multiplication by this conversion factor: new y = 0.4536(old y). What is the equation of the least-squares line when y is expressed in kilograms? (Give the answer to two decimal places.) = x 202.9 212.9 222.9 232.9 242.8 y 814.5 786.1 961.2 1118.8 1077.0arrow_forwardA lab received a new instrument to measure pH. To compare the new instrument to the old lab instrument, 11 samples were measured with both pieces of equipment. Using the data (below), find the least squares equation (x = "pH old" and Y = "pH new") and then predict the value on the new instrument if the old instrument gave a pH of 6.30. Enter your answer using 3 significant digits. pH Old pH New 6.35 6.16 6.01 5.95 6.15 6.05 6 6.01 6.11 6.06 5.93 5.83 5.84 5.81 5.63 5.71 5.63 5.74 6.11 6.1 6.07 6.01arrow_forwardTable 4 U.S. Per Capita Health Care Expenditures Years (after 2000) Dollars 9 8175 10 8428 12 8996 13 9255 (a) Find the least-squares line for these data. (b) Use the least-squares line to predict the per capita health care expenditures for the year 2016. (c) Use the least-squares line to predict when per capita health care expenditures will reach $12,000.arrow_forward
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