Introduction to Statistics and Data Analysis
5th Edition
ISBN: 9781305115347
Author: Roxy Peck; Chris Olsen; Jay L. Devore
Publisher: Brooks Cole
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Question
Chapter 5.4, Problem 44E
a.
To determine
Draw a
b.
To determine
Discuss whether a linear model would be an effective summary for the relationship between the variables.
c.
To determine
Draw a scatterplot for the given transformed data and comment on the pattern.
d.
To determine
Conclude whether the least-squares line obtained in the given MINITAB output is effective in summarizing the relationship between x′ and y′.
e.
To determine
Predict the moisture content, for a frying time of 35 seconds.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Ocean currents are important in studies of climate change, as well as ecology studies of dispersal of plankton. Drift bottles are
used to study ocean currents in the Pacific near Hawaii, the Solomon Islands, New Guinea, and other islands. Let x represent the
number of days to recovery of a drift bottle after release and y represent the distance from point of release to point of recovery in
km/100. The following data are representative of one study using drift bottles to study ocean currents.
203
x days
y km/100
72
76
32
14.7
94
11.7
19.5
5.3
35.6
(a) Verify that Ex = 477, Ey = 86.8, Ex? = 62,029, Ey2 = 2028.68, Exy = 11036.6, and r= 0.93853.
Ex
Ey
Ex?
Ey2|
Exy
(b) Use a 1% level of significance to test the claim p> 0. (Use 2 decimal places.)
critical t
Conclusion
Reject the null hypothesis, there is sufficient evidence that p > 0.
Reject the null hypothesis, there is insufficient evidence that p > 0.
O Fail to reject the null hypothesis, there is insufficient evidence that p > 0.
O…
The following equations were estimated using the data in BWGHT:
log(bwght) = 4.66 - 0044 cigs + .0093 log(faminc) + .016 parity
(.0059)
(.22) (.0009)
(.006)
+ .027 male + .055 white
(.010)
(.013)
1,388, R = .0472
and
log(bwght)
4.65 – .0052 cigs + .0110 log(faminc) + .017 parity
(.006)
(.38) (.0010)
(.0085)
+ .034 male + .045 white – .0030 motheduc + .0032 fatheduc
(.011)
(.015)
(.0030)
(.0026)
n = 1,191, R2 = .0493.
%3D
Consider the following data relating hours spent studying (X) and average grade on course quizzes (Y):
X Y
5 6
3 8
4 8
7 10
5 7
6 9
From these observations, can we conclude that hours spent studying caused increases in quiz grades?
Chapter 5 Solutions
Introduction to Statistics and Data Analysis
Ch. 5.1 - For each of the scatterplots shown, answer the...Ch. 5.1 - For each of the following pairs of variables,...Ch. 5.1 - Is the following statement correct? Explain why or...Ch. 5.1 - Prob. 4ECh. 5.1 - Prob. 5ECh. 5.1 - The accompanying data are x = Cost (cents per...Ch. 5.1 - The authors of the paper Flat-footedness Is Not a...Ch. 5.1 - Prob. 8ECh. 5.1 - Prob. 9ECh. 5.1 - The accompanying data were read from graphs that...
Ch. 5.1 - It may seem odd, but one of the ways biologists...Ch. 5.1 - An auction house released a list of 25 recently...Ch. 5.1 - A sample of automobiles traversing a certain...Ch. 5.2 - Two scatterplots are shown below. Explain why it...Ch. 5.2 - The authors of the paper Statistical Methods for...Ch. 5.2 - Prob. 16ECh. 5.2 - A sample of 548 ethnically diverse students from...Ch. 5.2 - The relationship between hospital patient-to-nurse...Ch. 5.2 - Prob. 19ECh. 5.2 - Prob. 20ECh. 5.2 - Studies have shown that people who suffer sudden...Ch. 5.2 - The data given in the previous exercise on x =...Ch. 5.2 - An article on the cost of housing in Califomia...Ch. 5.2 - The following data on sale price, size, and...Ch. 5.2 - Explain why it can be dangerous to use the...Ch. 5.2 - The sales manager of a large company selected a...Ch. 5.2 - Explain why the slope b of the least-squares line...Ch. 5.2 - Prob. 28ECh. 5.3 - Does it pay to stay in school? The report Trends...Ch. 5.3 - The data in the accompanying table is from the...Ch. 5.3 - Prob. 31ECh. 5.3 - Prob. 32ECh. 5.3 - Some types of algae have the potential to cause...Ch. 5.3 - Prob. 34ECh. 5.3 - Prob. 35ECh. 5.3 - Prob. 36ECh. 5.3 - The article Examined Life: What Stanley H. Kaplan...Ch. 5.3 - Prob. 38ECh. 5.3 - The article California State Parks Closure List...Ch. 5.3 - The article referenced in the previous exercise...Ch. 5.3 - A study was carried out to investigate the...Ch. 5.3 - Both r2 and se are used to assess the fit of a...Ch. 5.3 - Prob. 43ECh. 5.4 - Prob. 44ECh. 5.4 - The paper Aspects of Food Finding by Wintering...Ch. 5.4 - Food intake of grazing animals is limited by the...Ch. 5.4 - Prob. 47ECh. 5.4 - Prob. 48ECh. 5.4 - The paper Population Pressure and Agricultural...Ch. 5.4 - Determining the age of an animal can sometimes be...Ch. 5.5 - The paper How Lead Exposure Relates to Temporal...Ch. 5.5 - The following quote is from the paper Evaluation...Ch. 5 - The accompanying data represent x = Amount of...Ch. 5 - The paper A Cross-National Relationship Between...Ch. 5 - The following data on x = Score on a measure of...Ch. 5 - Prob. 58CRCh. 5 - Prob. 59CRCh. 5 - Prob. 60CRCh. 5 - The paper Effects of Canine Parvovirus (CPV) on...Ch. 5 - The paper Aspects of Food Finding by Wintering...Ch. 5 - Data on salmon availability (x) and the percentage...Ch. 5 - No tortilla chip lover likes soggy chips, so it is...Ch. 5 - The article Reduction is Soluble Protein and...Ch. 5 - An accurate assessment of oxygen consumption...Ch. 5 - Consider the four (x, y) pairs (0, 0), (1, 1), 1,...Ch. 5 - Prob. 1CRECh. 5 - Data from a survey of 1046 adults age 50 and older...Ch. 5 - Prob. 3CRECh. 5 - Prob. 4CRECh. 5 - Prob. 5CRECh. 5 - In August 2009, Harris Interactive released the...Ch. 5 - Prob. 7CRECh. 5 - Prob. 8CRECh. 5 - Prob. 9CRECh. 5 - Prob. 10CRECh. 5 - Prob. 11CRECh. 5 - Prob. 12CRECh. 5 - Prob. 13CRECh. 5 - Cost-to-charge ratios (the percentage of the...Ch. 5 - Prob. 15CRECh. 5 - In the article Reproductive Biology of the Aquatic...Ch. 5 - Prob. 17CRECh. 5 - Prob. 18CRECh. 5 - The paper “Population Pressure and Agricultural...Ch. 5 - Anabolic steroid abuse has been increasing despite...Ch. 5 - Prob. 69ECh. 5 - Prob. 70ECh. 5 - Prob. 71ECh. 5 - Prob. 72ECh. 5 - Suppose the hypothetical data below are from a...Ch. 5 - Prob. 74E
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
- What does the y -intercept on the graph of a logistic equation correspond to for a population modeled by that equation?arrow_forwardTable 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to 2012. a. Let x represent time in years starting with x=0 for the year 1997. Let y represent the number of seals in thousands. Use logistic regression to fit a model to these data. b. Use the model to predict the seal population for the year 2020. c. To the nearest whole number, what is the limiting value of this model?arrow_forwardAmericium 241 (241Am) is a radioactive material used in the manufacture of smoke detectors. The article "Retention and Dosimetry of Injected 241Am in Beagles"t described a study in which 55 beagles were injected with a dose of 241Am (proportional to each animal's weight). Skeletal retention of 241 Am (in microcuries per kilogram) was recorded for each beagle, resulting in the following data. 0.196 0.451 0.498 0.411 0.324 0.190 0.489 0.300 0.346 0.448 0.188 0.399 0.305 0.304 0.287 0.243 0.334 0.299 0.292 0.419 0.236 0.315 0.447 0.585 0.291 0.186 0.393 0.419 0.335 0.332 0.292 0.375 0.349 0.324 0.301 0.33 0.408 0.399 0.303 0.318 0.468 0.441 0.306 0.367 0.345 0.428 0.345 0.412 0.337 0.353 0.357 0.320 0.354 0.361 0.329 A USE SALT (a) Construct a frequency distribution for these data. Commute Time Frequency 0.15 to <0.20 10 0.20 to <0.25 11 0.25 to <0.30 48 0.30 to <0.35 0.35 to <0.40 0.40 to <0.45 0.45 to <0.50 0.50 to <0.55 0.55 to <0.60arrow_forward
- Consider the following data relating hours spent studying (X) and average grade on course quizzes (Y): X Y 5 6 3 8 4 8 7 10 5 7 6 9 Compute SP (equation below) 420 5 6 17arrow_forwardThe data in the following table relate grams plant dry weight (Y) to percent soil organic matter (X1) and kilograms of supplemental soil nitrogen added per 1000 square meters (X2). Y 78.5 X1 X2 2.6 1 2.9 5.6 74.3 104.3 | 11 87.6 11 5.2 95.9 5.5 109.2 | 11 102.7 | 3 3.1 7 7.1 Compute X'X and X'Y.arrow_forwardpan's high population density has resulted in a multitude of resource-usage problems. One especially serious difficulty concerns waste removal. An article reported the development of a new compression machine for processing sewage sludge. An important part of the investigation involved relating the moisture content of compressed pellets (y, in %) to the machine's filtration rate (x, in kg-DS/m/hr). The following data was read from a graph in the article. x 125.8 98.1 201.4 147.3 145.9 124.7 112.2 120.2 161.2 178.9 159.5 145.8 75.1 151.5 144.2 125.0 198.8 133.9 y 77.9 76.8 81.5 79.8 78.2 78.3 77.5 77.0 80.1 80.2 79.9 79.0 76.9 78.2 79.5 78.1 81.5 71.0 (a) Determine the slope and intercept of the estimated regression line. (Round your answers to 5 decimal places, if needed.)slope: intercept: (b) Does there appear to be a useful linear relationship? Carry out a test using the ANOVA approach and a significance level of 0.05. State the appropriate null and alternative hypotheses.…arrow_forward
- Consider the following data relating hours spent studying (X) and average grade on course quizzes (Y): X Y 5 6 3 8 4 8 7 10 5 7 6 9 From these observations, can we conclude that hours spent studying caused increases in quiz grades? Yes Noarrow_forwardA sociologist wants to determine if the life expectancy of people in Africa is less than the life expectancy of people in Asia. The data obtained is shown in the table below. Africa Asia = 63.3 yr. 1 X,=65.2 yr. 2 o, = 9.1 yr. = 7.3 yr. n1 = 120 = 150arrow_forwardConsider the following data relating hours spent studying (X) and average grade on course quizzes (Y): X Y 5 6 3 8 4 8 7 10 5 7 6 9 Compute SSYarrow_forward
- Ocean currents are important in studies of climate change, as well as ecology studies of dispersal of plankton. Drift bottles are used to study ocean currents in the Pacific near Hawaii, the Solomon Islands, New Guinea, and other islands. Let x represent the number of days to recovery of a drift bottle after release and y represent the distance from point of release to point of recovery in km/100. The following data are representative of one study using drift bottles to study ocean currents. Σx = 476, Σy = 87.1, Σx2 = 62,290, Σy2 = 2046.87, Σxy = 11121.3,and r ≈ 0.94367. x days 72 76 32 91 205y km/100 14.7 19.6 5.3 11.7 35.8 a) Use a 1% level of significance to test the claim ? > 0.(Use 2 decimal places.)t =critical t= b) Find the predicted distance (km/100) when a drift bottle has been floating for 60 days. (Use 2 decimal places.)________ km/100 c) Find a 90% confidence interval for your prediction of part (d). (Use 1 decimal place.)lower limit = _____…arrow_forwardThe risk of a person developing heart disease is correlated with their BMI (or body mass index), which is calculated by dividing their body mass by their height (high BMIS typically mean the person is overweight). Heart disease is also related to a person's level of activity. Suppose a person's BMI is x and their physical activity is y (measured, for example, in minutes of exercise each day). Let h be a heart disease risk index (high values of h mean high risk of heart disease, low values of h mean a low risk of heart disease). h depends on x and y, that is, h3h(x,y). A simple linear model that only takes into account the effects of BMI and activity is (a) Would you expect a > 0 or a < 0? What about b? You would expect a 7o and b 0. (b) To fit the values of a and b, consider the following data. A patient with BMI of 15, and who does 50 min of activity each day, has risk index h = 150. A patient with BMI of 30, and who does 30 min of activity each day, has risk index h = 405. Use these…arrow_forwardAmericium 241 (241 Am) is a radioactive material used in the manufacture of 241 smoke detectors. An article described a study in which 55 beagles were injected with a dose of Am (proportional to each animal's weight). Skeletal retention of 241 Am (in microcuries per kilogram) was recorded for each beagle, resulting in the following data: 0.196 0.3 0.287 0.315 0.335 0.333 0.306 0.353 0.301 0.441 0.337 0.451 0.346 0.243 0.447 0.332 0.408 0.367 0.357 0.304 0.236 0.419 Answer: 0.498 0.448 0.334 0.585 0.292 0.399 0.345 0.32 0.489 0.354 0.428 0.411 0.188 0.299 0.291 0.375 0.303 0.186 0.349 0.318 0.345 0.361 0.324 0.399 0.292 0.19 0.305 0.419 0.393 0.324 0.468 0.412 0.329 By constructing an equal width GFDT (for the given dataset) with six classes and class width (using the given formula in Lecture note II) to be rounded to the nearest hundredth, what proportion of these observations are not less than 0.395 but less than or equal 0.535? (Type your answer in decimal form and round it to the…arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:9781133382119
Author:Swokowski
Publisher:Cengage
Sequences and Series Introduction; Author: Mario's Math Tutoring;https://www.youtube.com/watch?v=m5Yn4BdpOV0;License: Standard YouTube License, CC-BY
Introduction to sequences; Author: Dr. Trefor Bazett;https://www.youtube.com/watch?v=VG9ft4_dK24;License: Standard YouTube License, CC-BY