Introduction To Statistics And Data Analysis
6th Edition
ISBN: 9781337793612
Author: PECK, Roxy.
Publisher: Cengage Learning,
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Chapter 14.4, Problem 52E
To determine
Explain the recommended model in the given models.
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Pre-study and post-study scores for a class of 120 students were considered. The residual plot for the least squares regression line showed no pattern. The least squares regression line was y-hat = 0.2 + 0.9x with a correlation coefficient r=0.85. What percent of the variation of post-study scores can be explained by the variation in pre-study scires? A) 72.3% b) 85.0% c) 90.0% d) 92.2% e) we can not determine with the information given
The article “Models for Assessing Hoisting Times of Tower Cranes” (A. Leung and C. Tam, Journal of Construction Engineering and Management, 1999: 385–391) presents a model constructed by a stepwise regression procedure to predict the time needed for a tower crane hoisting operation. Twenty variables were considered, and the stepwise procedure chose a nine-variable model. The adjusted R2 for the selected model was 0.73. True or false: a) The value 0.73 is a reliable measure of the goodness of fit of the selected model. b) The value 0.73 may exaggerate the goodness of fit of the model. c) A stepwise regression procedure selects only variables that are of some use in predicting the value of the dependent variable. d) It is possible for a variable that is of no use in predicting the value of a dependent variable to be part of a model selected by a stepwise regression procedure.
An article in the Journal of Sound and Vibration (Vol. 151, 1991, pp. 383-394) described a study investigating the relationship between noise
exposure and hypertension. The following data are representative of those reported in the article.
ух ух
1 60 5 85
0 63 4 89
1 65 6 90
2 70 8 90
5 70 4 90
1 70 5 90
4 80 7 94
6 90 9 100
2 80 7 100
3 80 6 100
Fit a linear regression model relating blood pressure rise in millimeters of mercury (y) to sound pressure level in decibels (x) using least
squares.
Does a simple linear regression model seem reasonable in this situation? What are the least squares estimate of the intercept?
Does a simple linear regression model (intercept) seem reasonable in this situation? Input Yes or No.
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What are the least squares estimate of the intercept? Input answer up to 3 decimal places, i.e., 0.000.
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Chapter 14 Solutions
Introduction To Statistics And Data Analysis
Ch. 14.1 - Prob. 1ECh. 14.1 - The authors of the paper Weight-Bearing Activity...Ch. 14.1 - Prob. 3ECh. 14.1 - Prob. 4ECh. 14.1 - Prob. 5ECh. 14.1 - Prob. 6ECh. 14.1 - Prob. 7ECh. 14.1 - Prob. 8ECh. 14.1 - Prob. 9ECh. 14.1 - The relationship between yield of maize (a type of...
Ch. 14.1 - Prob. 11ECh. 14.1 - A manufacturer of wood stoves collected data on y...Ch. 14.1 - Prob. 13ECh. 14.1 - Prob. 14ECh. 14.1 - Prob. 15ECh. 14.2 - Prob. 16ECh. 14.2 - State as much information as you can about the...Ch. 14.2 - Prob. 18ECh. 14.2 - Prob. 19ECh. 14.2 - Prob. 20ECh. 14.2 - The ability of ecologists to identify regions of...Ch. 14.2 - Prob. 22ECh. 14.2 - Prob. 23ECh. 14.2 - Prob. 24ECh. 14.2 - Prob. 25ECh. 14.2 - Prob. 26ECh. 14.2 - This exercise requires the use of a statistical...Ch. 14.2 - Prob. 28ECh. 14.2 - The article The Undrained Strength of Some Thawed...Ch. 14.2 - Prob. 30ECh. 14.2 - Prob. 31ECh. 14.2 - Prob. 32ECh. 14.2 - Prob. 33ECh. 14.2 - This exercise requires the use of a statistical...Ch. 14.2 - This exercise requires the use of a statistical...Ch. 14.3 - Prob. 36ECh. 14.3 - Prob. 37ECh. 14.3 - When Coastal power stations take in large amounts...Ch. 14.3 - Prob. 39ECh. 14.3 - The article first introduced in Exercise 14.28 of...Ch. 14.3 - Data from a random sample of 107 students taking a...Ch. 14.3 - Benevolence payments are monies collected by a...Ch. 14.3 - Prob. 43ECh. 14.3 - Prob. 44ECh. 14.3 - Prob. 45ECh. 14.3 - Prob. 46ECh. 14.3 - Exercise 14.26 gave data on fish weight, length,...Ch. 14.3 - Prob. 48ECh. 14.3 - Prob. 49ECh. 14.3 - Prob. 50ECh. 14.4 - Prob. 51ECh. 14.4 - Prob. 52ECh. 14.4 - The article The Analysis and Selection of...Ch. 14.4 - Prob. 54ECh. 14.4 - Prob. 55ECh. 14.4 - Prob. 57ECh. 14.4 - Prob. 58ECh. 14.4 - Prob. 59ECh. 14.4 - Prob. 60ECh. 14.4 - This exercise requires use of a statistical...Ch. 14.4 - Prob. 62ECh. 14 - Prob. 63CRCh. 14 - Prob. 64CRCh. 14 - The accompanying data on y = Glucose concentration...Ch. 14 - Much interest in management circles has focused on...Ch. 14 - Prob. 67CRCh. 14 - Prob. 68CRCh. 14 - Prob. 69CRCh. 14 - A study of pregnant grey seals resulted in n = 25...Ch. 14 - Prob. 71CRCh. 14 - Prob. 72CRCh. 14 - This exercise requires the use of a statistical...
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- An attempt was made to construct a regression model explaining student scores in intermediate economics courses (Waldauer, Duggal, and Williams 1992). The population regression model assumed thatY = total student score in intermediate economics coursesX1 = mathematics score on Scholastic Aptitude TestX2 = verbal score on Scholastic Aptitude TestX3 = grade in college algebra (A = 4, B = 3, C = 2, D = 1)X4 = grade in college principles of economics courseX5 = dummy variable taking the value 1 if the student is female and 0 if maleX6 = dummy variable taking the value 1 if the instructor is male and 0 if femaleX7 = dummy variable taking the value 1 if the student and instructor are the same gender and 0 otherwiseThis model was fitted to data on 262 students. Next we report t-ratios, so that tj is the ratio of the estimate of bj to its associated estimated standard error. These ratios are as follows:t1 = 4.69, t2 = 2.89, t3 = 0.46, t4 = 4.90,t5 = 0.13, t6 = -1.08, t7 = 0.88The objective of…arrow_forwardThe relationship between total cholesterol (milligrams per deciliter) and BMI (Ratio of weight in kilograms to height in metres squared) of 20 participants is shown in the scatterplot below along with the least squares regression line. Which of the following statements is correct? a) The relationship between total cholesterol and BMI is linear as can be seen by the random scatter of the data above and below the least squares regression line. Both variables are metric and therefore it is appropriate to use Pearson's correlation to measure the linear association between the two variables. b) The relationship between total cholesterol and BMI is non-linear and since both variables are metric it is appropriate to use Pearson's correlation to measure the linear association between the two variables. c) The relationship between total cholesterol and BMI is non-linear as can be seen by the patterning of points around the least squares regression line and therefore it is not…arrow_forwardAn article in the Journal of Sound and Vibration (Vol. 151, 1991, pp. 383-394) described a study investigating the relationship between noise exposure and hypertension. The following data are representative of those reported in the article. ух у х 1 60 5 85 0 63 4 89 1 65 6 90 2 70 8 90 5 70 4 90 1 70 5 90 4 80 7 94 6 90 9 100 2 80 7 100 3 80 6 100 Fit a linear regression model relating blood pressure rise in millimeters of mercury (y) to sound pressure level in decibels (x) using least squares. (a) Draw a scatter diagram of y versus x (using statistical software). Does a simple linear regression model seem reasonable in this situation? (b) Calculate the least squares estimate of the slope. ß, = i (Round your answer to 3 decimal places.) (Round your answer to 3 decimal (c) Calculate the least squares estimate of the intercept./ = places.) (d) Calculate an estimate of o2. (Round your answer to 3 decimal places.) (e) Obtain the predicted mean rise in blood pressure level associated with…arrow_forward
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