Introduction to Statistics and Data Analysis
5th Edition
ISBN: 9781305115347
Author: Roxy Peck; Chris Olsen; Jay L. Devore
Publisher: Brooks Cole
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Textbook Question
Chapter 13, Problem 62CR
The article “Improving Fermentation Productivity with Reverse Osmosis” (Food Technology [1984]: 92–96) gave the following data (read from a scat-terplot) on y = Glucose concentration (g/L) and x = Fermentation time (days) for a blend of malt liquor.
![Chapter 13, Problem 62CR, The article Improving Fermentation Productivity with Reverse Osmosis (Food Technology [1984]: 9296)](https://content.bartleby.com/tbms-images/9781337793612/Chapter-13/images/93612-13-66cr-question-digital_image_001.png)
- a. Use the data to calculate the estimated regression line.
- b. Do the data indicate a linear relationship between y and x? Test using a 0.10 significance level.
- c. Using the estimated regression line of Part (a), compute the residuals and construct a plot of the residuals versus x (that is, of the (x, residual) pairs).
- d. Based on the plot in Part (c), do you think that the simple linear regression model is appropriate for describing the relationship between y and x? Explain.
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Students have asked these similar questions
10 – 11. Margaret, an archeologist, is conducting a test to determine if there is a positive linear relationship between the total
height of a dinosaur and its leg length. Her random sample of 15 dinosaur total heights (in feet) and leg lengths (in feet)
produced the results shown in the following TI calculator screen. Use the TI calculations in the screen shot to help you answer
questions: 10 & 11.
LinReg
y=a+bx
a=28.67845743
b=5.639892354
r=559696513
r=.7481286741
10. What would you predict for a dinosaur's total height (to 2 decimal places) in feet, if the leg length is 5.8 feet?
a) 61.39 feet b) 28.68 feet
c) 114.99 feet
d) 61.33 feet e) 74.81 feet
11. What percent of variation in the dinosaur's total height can be accounted for by the variation in the dinosaur's leg length?
a) 28.68% b) 5.64%%
c) 55.97%
d) 74.81%
e) none of these
7. Find slop of a linear regression model for the following data:
x = [1,
2,
3,
4,
5,
6,
7]
z = [ 1.40, 3.78, 4.41, 4.60, 8.40, 8.64, 12.81].
-1.7
-0.5
0.5
O 1.7
CS Scanned with CamScannel
c) Show that the coefficient of determination, R², can also be obtained as the squared
correlation between actual Y values and the Y values estimated from the regression model
where Y is the dependent variable.
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Eyixi
r =
And also that ỹ = ŷ
(18.75)
Chapter 13 Solutions
Introduction to Statistics and Data Analysis
Ch. 13.1 - Prob. 1ECh. 13.1 - The flow rate in a device used for air quality...Ch. 13.1 - The paper Predicting Yolk Height, Yolk Width,...Ch. 13.1 - Prob. 4ECh. 13.1 - Suppose that a simple linear regression model is...Ch. 13.1 - a. Explain the difference between the line y x...Ch. 13.1 - Prob. 7ECh. 13.1 - Hormone replacement therapy (HRT) is thought to...Ch. 13.1 - Prob. 9ECh. 13.1 - A simple linear regression model was used to...
Ch. 13.1 - Consider the accompanying data on x = Advertising...Ch. 13.2 - What is the difference between and b? What is the...Ch. 13.2 - The largest commercial fishing enterprise in the...Ch. 13.2 - Prob. 14ECh. 13.2 - Prob. 15ECh. 13.2 - Prob. 16ECh. 13.2 - An experiment to study the relationship between x...Ch. 13.2 - The paper The Effects of Split Keyboard Geometry...Ch. 13.2 - The authors of the paper Decreased Brain Volume in...Ch. 13.2 - Do taller adults make more money? The authors of...Ch. 13.2 - Researchers studying pleasant touch sensations...Ch. 13.2 - Prob. 22ECh. 13.2 - Prob. 23ECh. 13.2 - Consider the accompanying data on x = Research and...Ch. 13.2 - Prob. 25ECh. 13.2 - In anthropological studies, an important...Ch. 13.3 - The graphs accompanying this exercise are based on...Ch. 13.3 - Prob. 28ECh. 13.3 - Prob. 29ECh. 13.3 - The article Vital Dimensions in Volume Perception:...Ch. 13.3 - Prob. 31ECh. 13.3 - An investigation of the relationship between x =...Ch. 13.4 - Prob. 33ECh. 13.4 - Prob. 34ECh. 13.4 - Prob. 35ECh. 13.4 - Prob. 36ECh. 13.4 - A subset of data read from a graph that appeared...Ch. 13.4 - Prob. 38ECh. 13.4 - Prob. 39ECh. 13.4 - Prob. 40ECh. 13.4 - The shelf life of packaged food depends on many...Ch. 13.4 - For the cereal data of the previous exercise, the...Ch. 13.4 - The article Performance Test Conducted for a Gas...Ch. 13.5 - Prob. 44ECh. 13.5 - Prob. 45ECh. 13.5 - A sample of n = 353 college faculty members was...Ch. 13.5 - Prob. 47ECh. 13.5 - Prob. 48ECh. 13.5 - The accompanying summary quantities for x =...Ch. 13.5 - Prob. 50ECh. 13.5 - Prob. 51ECh. 13.6 - Prob. 52ECh. 13 - Prob. 53CRCh. 13 - Prob. 54CRCh. 13 - Prob. 55CRCh. 13 - The article Photocharge Effects in Dye Sensitized...Ch. 13 - Prob. 57CRCh. 13 - Prob. 58CRCh. 13 - Prob. 59CRCh. 13 - Prob. 60CRCh. 13 - Prob. 61CRCh. 13 - The article Improving Fermentation Productivity...Ch. 13 - Prob. 63CRCh. 13 - Prob. 64CRCh. 13 - Prob. 65CRCh. 13 - Prob. 1CRECh. 13 - Prob. 2CRECh. 13 - Prob. 3CRECh. 13 - Prob. 4CRECh. 13 - Prob. 5CRECh. 13 - The accompanying graphical display is similar to...Ch. 13 - Prob. 7CRECh. 13 - Prob. 8CRECh. 13 - Consider the following data on y = Number of songs...Ch. 13 - Many people take ginkgo supplements advertised to...Ch. 13 - Prob. 11CRECh. 13 - Prob. 12CRECh. 13 - Prob. 13CRECh. 13 - Prob. 14CRECh. 13 - The discharge of industrial wastewater into rivers...Ch. 13 - Many people take ginkgo supplements advertised to...Ch. 13 - It is hypothesized that when homing pigeons are...Ch. 13 - Prob. 18CRE
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