Mind on Statistics
5th Edition
ISBN: 9781285463186
Author: Jessica M. Utts, Robert F. Heckard
Publisher: Brooks Cole
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Question
Chapter 3, Problem 3.97E
To determine
(a)
To plot and
To determine
(b)
To determine regression equation.
To determine
(c)
To estimate average difference for men who weigh 200 pounds.
To determine
(d)
To find value of r2
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
A company believes that the variation in the cost of a shipment can be explained by the weight of
the package. A sample of 20 customer shipments was selected, and this scatter plot and
regression line were obtained:
Shipping
y = 1.101x + 4.4995
r= 0.8764
30
25
20
15
10
5
10
15
20
25
Weight (Ib)
a. Find r' and interpret the meaning of r in the context of this problem.
b. Interpret the meaning of the slope in the context of this problem.
c. Interpret the meaning of the y-intercept in the context of this problem. Explain whether or
not it makes sense.
d. Using the regression equation, calculate the expected cost of a package that weighs 11 lbs.
e. Using the regression equation, find the weight of a package that cost $20 to ship.
Cost (dollars)
At a fish market, different measurements of a certain type of fish were recorded for a sample of 35 fish. An analysist used the data to
develop a linear model of the relationship between the weight (in grams) of the fish, and its length, height and width (all in cm). The
results of the multiple linear regression to predict the weight of the fish are as follows:
Regression Statistics
Multiple R
R Square
0.971
0.943
Adjusted R Square
0.937
Standard Error
52.428
Observations
35
df
Significance F
ANOVA
MS
F
Regression
3
1402868
467622.7
170.1224
0.0000
Residual
31
85211
2748.742
Total
34
1488079
Coefficients
Standard Error
t Stat
P-value
-13.2
Intercept
Length
-1009.0
76.5
0.0000
12.8
7.5
1.7
0.0971
Height
63.1
15.9
3.9
0.0004
Width
51.6
34.0
1.5
0.1391
1. What percentage of variation in weight is not explained by the regression model? Give your
answer correct to 1 decimal place.
2. Use the ANOVA p-value to test the appropriate hypothesis at the 5% level of significance. For each one of…
Louis Katz, a cost accountant at Papalote Plastics, Inc. (PPI), is analyzing the manufacturing costs of a molded plastic telephone
handset produced by PPI. Louis's independent variable is production lot size (in 1,000's of units), and his dependent variable is the
total cost of the lot (in $100's). Regression analysis of the data yielded the following tables.
Intercept
Source
Coefficients
Total
df
11
3.996
SS
F
Regression 1 9.858769 9.858769 12.22345
Residual
8.872 0.806545
0.358
Save for Later
Standard Error
Using a=0.05, Louis should
12 18.73077
O suspend judgment
O not reject Ho: Po=0
O reject Ho: 1₁=0
O increase the sample size
O not reject Ho: 1-0
p-value
1.161268 3.441065 0.004885
0.102397 3.496205 0.004413
t Statistic
MS
Se = 0.898
r² = 0.526341
Chapter 3 Solutions
Mind on Statistics
Ch. 3 - For each of the following pairs of variables, is...Ch. 3 - For each of the following pairs of variables, is...Ch. 3 - The figure for this exercise is a scatter plot of...Ch. 3 - Prob. 3.4ECh. 3 - Prob. 3.5ECh. 3 - Prob. 3.6ECh. 3 - Prob. 3.7ECh. 3 - Prob. 3.8ECh. 3 - The data in the following table are the geographic...Ch. 3 - Refer to the latitude and temperature data in the...
Ch. 3 - Prob. 3.11ECh. 3 - The following table shows sex, height (inches),...Ch. 3 - Prob. 3.13ECh. 3 - Refer to Exercise 3.13 in which a regression...Ch. 3 - Prob. 3.15ECh. 3 - Prob. 3.16ECh. 3 - The equation for converting a temperature from x =...Ch. 3 - The average August temperatures (y) and geographic...Ch. 3 - A regression equation for y = handspan (cm) and x...Ch. 3 - Imagine a regression line that relates y average...Ch. 3 - Prob. 3.21ECh. 3 - The figure for Exercise 3.8 is a scatterplot of...Ch. 3 - Refer to Exercise 3.22. Predict the pulse rate...Ch. 3 - The average January temperatures (y) and...Ch. 3 - Prob. 3.25ECh. 3 - Prob. 3.26ECh. 3 - Prob. 3.27ECh. 3 - Remember that r2 can be expressed as a proportion...Ch. 3 - Prob. 3.29ECh. 3 - Prob. 3.30ECh. 3 - Prob. 3.31ECh. 3 - Prob. 3.32ECh. 3 - Prob. 3.33ECh. 3 - Explain how two variables can have a perfect...Ch. 3 - Prob. 3.35ECh. 3 - Prob. 3.36ECh. 3 - The figure for this exercise (below) shows four...Ch. 3 - Refer to the figure for the previous exercises. In...Ch. 3 - Prob. 3.39ECh. 3 - Prob. 3.40ECh. 3 - Prob. 3.41ECh. 3 - Prob. 3.42ECh. 3 - Prob. 3.43ECh. 3 - The correlation between latitude and average...Ch. 3 - Prob. 3.45ECh. 3 - Prob. 3.46ECh. 3 - In a regression analysis, the total sum of squares...Ch. 3 - Prob. 3.48ECh. 3 - Suppose you know that the slope of a regression...Ch. 3 - Prob. 3.50ECh. 3 - Prob. 3.51ECh. 3 - Prob. 3.53ECh. 3 - Prob. 3.54ECh. 3 - Refer back to Exercise 3.7 about stopping distance...Ch. 3 - Prob. 3.56ECh. 3 - Prob. 3.57ECh. 3 - Prob. 3.58ECh. 3 - Prob. 3.59ECh. 3 - Prob. 3.60ECh. 3 - Prob. 3.61ECh. 3 - Prob. 3.62ECh. 3 - Prob. 3.63ECh. 3 - Prob. 3.64ECh. 3 - Prob. 3.65ECh. 3 - Prob. 3.66ECh. 3 - Prob. 3.67ECh. 3 - Prob. 3.68ECh. 3 - Prob. 3.69ECh. 3 - Prob. 3.70ECh. 3 - Prob. 3.71ECh. 3 - Given tickets for traffic violations than drivers...Ch. 3 - Prob. 3.73ECh. 3 - Prob. 3.74ECh. 3 - Prob. 3.75ECh. 3 - Prob. 3.76ECh. 3 - Prob. 3.77ECh. 3 - Prob. 3.78ECh. 3 - Prob. 3.79ECh. 3 - The heights (inches) and foot lengths (cm) of 33...Ch. 3 - Prob. 3.81ECh. 3 - The winning time in the Olympic men’s 500-meter...Ch. 3 - Prob. 3.83ECh. 3 - Prob. 3.84ECh. 3 - Prob. 3.86ECh. 3 - Prob. 3.87ECh. 3 - Prob. 3.88ECh. 3 - Prob. 3.89ECh. 3 - Use the dataset ceodata0t on the companion website...Ch. 3 - Prob. 3.91ECh. 3 - Prob. 3.92ECh. 3 - Prob. 3.93ECh. 3 - Prob. 3.94ECh. 3 - Prob. 3.95ECh. 3 - Prob. 3.96ECh. 3 - Prob. 3.97ECh. 3 - Prob. 3.98ECh. 3 - Prob. 3.99ECh. 3 - Prob. 3.100E
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
- The following table provides values of the function f(x,y). However, because of potential; errors in measurement, the functional values may be slightly inaccurately. Using the statistical package included with a graphical calculator or spreadsheet and critical thinking skills, find the function f(x,y)=a+bx+cy that best estimate the table where a, b and c are integers. Hint: Do a linear regression on each column with the value of y fixed and then use these four regression equations to determine the coefficient c. x y 0 1 2 3 0 4.02 7.04 9.98 13.00 1 6.01 9.06 11.98 14.96 2 7.99 10.95 14.02 17.09 3 9.99 13.01 16.01 19.02arrow_forwardFor the following exercises, use Table 4 which shows the percent of unemployed persons 25 years or older who are college graduates in a particular city, by year. Based on the set of data given in Table 5, calculate the regression line using a calculator or other technology tool, and determine the correlation coefficient. Round to three decimal places of accuracyarrow_forwardFor the following exercises, consider the data in Table 5, which shows the percent of unemployed in a city ofpeople25 years or older who are college graduates is given below, by year. 41. Based on the set of data given in Table 7, calculatethe regression line using a calculator or othertechnology tool, and determine the correlationcoefficient to three decimal places.arrow_forward
- Respiratory 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_forwardAn automobile rental company wants to predict the yearly maintenance expense (Y) for an automobile using the number of miles driven during the year () and the age of the car (, in years) at the beginning of the year. The company has gathered the data on 10 automobiles and run a regression analysis with the results shown below:. Summary measures Multiple R 0.9689 R-Square 0.9387 Adj R-Square 0.9212 StErr of Estimate 72.218 Regression coefficients Coefficient Std Err t-value p-value Constant 33.796 48.181 0.7014 0.5057 Miles Driven 0.0549 0.0191 2.8666 0.0241 Age of car 21.467 20.573 1.0434 0.3314 Use the information above to estimate the annual maintenance expense for a 10 years old car with 60,000 miles.arrow_forwardAn agent for a real estate company in a large city would like to be able to predict the monthly rental cost for apartments, based on the size of the apartment, as defined by square footage. A sample of eight apartments in a neighborhood was selected, and the information gathered revealed the data shown below. For these data, the regression coefficients are b, = 89.7175 and b, = 1.0703. Complete parts (a) through (d). Monthly Rent (S) Size (Square Feet) 900 1,450 850 1,500 2,000 900 1,825 1,300 o 850 1,350 950 1,200 1,900 700 1.350 1.050 ..... a. Determine the coefficient of determination, r, and interpret its meaning. 2= 0.843 (Round to three decimal places as needed.) What is the meaning of ? O A. r measures the proportion of variation in apartment size that can be explained by the variation in monthly rent. O B. r measures the proportion of variation in apartment size that cannot be explained by the variation in monthly rent. O C. measures the proportion of variation in monthly rent…arrow_forward
- A study on the amount of rainfall and the quantity of air pollution removed gave the following of data. What is the corresponding regression equation by SLRM? Rainfall, x (0.01cm) Particulate removed, y (mcg/m³) 4.2 128 2.4 123 5.8 118 5.5 120 6.0 116 5.1 120 3.7 134 2.0 143 7.4 110arrow_forwardThe data below are the final exam scores of 10 randomly selected history students and the nurmber of hours they slept the night before the exam. Hours slept Final Exam Score 65 15 80 60 88 66 4. 78 4 85 90 90 71 what is the slope of the regression line? what is the meaning in the context of the problem? • what is the y-intercept? What is the meaning in the context of the problem? Edit View Insert Format Tools Table 12nt v Daragranh v MacBook Airarrow_forwardThe accompanying data are the number of wins and the eamed run averages (mean number of earned nuns allowed per nine innings pitched) for eight baseball pitchers in a recent season. Find the equation of the regression line. Then construct a scatter plot of the data and draw the regression line. Then use the regression equation to predict the value of y for each of the given x-values, if meaningful. If the x-value is not meaningful to predict the value of y, explain why not. (a) x= 5 wins E Click the icon to view the table of numbers of wins and earned run average. (b) x= 10 wins (c) x = 19 wins (d) x= 15 wins The equation of the regression line is y =x+ (Round to two decimal places as needed.)arrow_forward
- A local retail store compared their monthly sales of umbrellas with the amount of rainfall that occured during that month. They computed the following statistics: Rainfall (in) # of umbrellas mean = 4.64 mean = 34.2 SD = 1.17 SD = 13.2 r = 0.8 1. Find the equation for the regression line that predicts the monthly sales of umbrellas from monthly rainfall.arrow_forwardWhich equation best represents the regression line for the data given in the table above? Oy=-3x+ 22 Oy=-3x-22 Oy= 3x+ 22 Oy= 3x- 22 71 hp Oly insertarrow_forwardUse the following information to answer the next question:Fred’s Frozen Creations has been contracted to train Utah’s synchronized ice sculpting team. They have identified two different independent variables (ice sculpting hours and number of ice blocks used in training) in two different equations to evaluate the cost of training. The results of the two regressions are as follows: (PLEASE REFER TO ATTACHED IMAGE) 20.) Assume Fred’s Frozen Creations chooses to use the number of ice blocks to estimate the cost of training. Construct a 90% confidence interval for the cost of training when the number of ice blocks used is estimated at 1,300. Assume 1,300 ice blocks is within the relevant range. (Round all calculations to the nearest dollar) a. ($223,240, $371,338)b. ($211,035, $383,543)c. ($216,475, $364,573)d. ($258,475, $336,103)e. ($207,844, $386,734)f. ($208,275, $386,303)g. ($297,027, $297,551)h. None of the above.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
Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage
Calculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,
Algebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning
Functions and Change: A Modeling Approach to Coll...AlgebraISBN:9781337111348Author:Bruce Crauder, Benny Evans, Alan NoellPublisher:Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:9781133382119
Author:Swokowski
Publisher:Cengage
Calculus For The Life Sciences
Calculus
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:Pearson Addison Wesley,
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:Cengage Learning
Functions and Change: A Modeling Approach to Coll...
Algebra
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Cengage Learning
Correlation Vs Regression: Difference Between them with definition & Comparison Chart; Author: Key Differences;https://www.youtube.com/watch?v=Ou2QGSJVd0U;License: Standard YouTube License, CC-BY
Correlation and Regression: Concepts with Illustrative examples; Author: LEARN & APPLY : Lean and Six Sigma;https://www.youtube.com/watch?v=xTpHD5WLuoA;License: Standard YouTube License, CC-BY