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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Chapter 13.1, Problem 4E
a.
To determine
Interpret the value
b.
To determine
Mention two interpretations for value
c.
To determine
Explain what happens if the efficiency for a car with a 300-horsepower engine is predicted.
Mention why this occurs.
d.
To determine
Interpret
e.
To determine
Interpret
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A random sample of beef hotdogs was taken and the amount of sodium (in mg) and calories were measured.
The data are in the table. Create a scatter plot and find a regression equation between amount of calories
and amount of sodium. Then use the regression equation to find the amount of sodium a beef hotdog has if
it is 138 calories and if it is 100 calories. Which sodium level that you calculated do you think is closer to
the true sodium level? Why?
Calories and Sodium Levels in Beef Hotdogs
Calories
Sodium
181
477
114
296
184
440
164
495
149
374
180
526
137
251
170
482
133
350
Select the correct scatterplot.
500
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124010 15 120 125 18015 140 145 150 155 100 45 170 175 Jao Jas I80 4p.
500
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I4oio is 120 125 180 135 140 J45 J50 153 100 165 170o
500
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1240lio is 120 125 180 1 140 145 150 155 100 165 170 175 Jao Jas J0 4s.
The regression equation is y=
decimal places if necessary.)
(Round to two…
please use this situation:
A small theater company has a linear regression model to estimate y = the concession stand sales in dollars, based on knowing x = the number of people in attendance. The regression equation is: = 6.72x + 11.50 and the correlation coefficient was r = 0.781. The data set saw the number of people in attendance ranging from a minimum of 18 people to a maximum of 170 people.
1) Interpret the slope of the regression equation in the context of the problem. If it would make sense, interpret the y-intercept and if it doesn’t make sense to do that say why.
After interviewing salespersons at Harley Davidson dealerships, a researcher has created a linear regression line to explain the relationship between a Harley Davidson motorcycle's age (x) and price (y). The regression has an = 87.7%. Write a sentence summarizing what says about this regression.
The age of the motorcycle explains 12.3% of the variation in price.
The age of the motorcycle explains 9.36% of the variation in price.
The age of the motorcycle explains 87.7% of the variation in price.
The price of the motorcycle explains 12.3% of the variation in age.
The price of the motorcycle explains 87.7% of the variation in age.
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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- Does Table 2 represent a linear function? If so, finda linear equation that models the data.arrow_forwardWhat is regression analysis? Describe the process of performing regression analysis on a graphing utility.arrow_forwardIf you travel 100 miles in two hours, then your average speed for the trip is Average speed=_________=________arrow_forward
- A car dealer wants to estimate the price of a used car based on the age of the car and the mileage. Based on a sample of 20 cars, she determines the sample regression equation that predicts price taxes on the basis of the age (in years) of the number of miles is Price=21,619-1022Age-0.03 Miles (a) If the age of the car was fixed and the mileage was increased by 10,000, how much would the price increase or decrease and by how much? (b) Predict the selling price of a five-year-old car with 65,000 miles. (Round your answers to the nearest whole number.)arrow_forwardSuppose a study is done to adolescents to determine if their self-esteem (Y) depends on their height (X; in inches). The regression analysis shows that the best fit line is Y = - 8 + 0.5X. This shows that as the adolescent's height increases by two inches, choose the letter of the correct answer. a self-esteem score increases by 1 point. b self-esteem score increases by 0.5 point. c self-esteem score decreases by 0.5 point. d self-esteem score increases by 1.5 pointarrow_forwardData was collected on the weight of trash in a household(in lbs.) and the number of people in the household. The equation of the linear relationship between the variables is given as Trash = 2.34+ 11.30( People ) Interpret the slope of the regression line in terms of the problem. Predict the weight of trash in a household of 5 people. If the correlation coefficient is r = 0.877, find the proportion of variation in the weight of trash based on its linear relationship with the number of people in the household. Does this value make you comfortable making predictions?arrow_forward
- please use this situation: A small theater company has a linear regression model to estimate y = the concession stand sales in dollars, based on knowing x = the number of people in attendance. The regression equation is: = 6.72x + 11.50 and the correlation coefficient was r = 0.781. The data set saw the number of people in attendance ranging from a minimum of 18 people to a maximum of 170 people. 1) How reliable would it be to make a prediction for the concession sales amount if there were 500 people in attendance? Explain.arrow_forwardYou use the same bar of soap to shower each morning. The bar weighs 80 grams when it is new. Its weight goes down by 6 grams per day on the average. What is the equation of the regression line for predicting weight from days of use?arrow_forwardThere is a linear relationship between the number of chirps made by the stiped ground cricket and the air temperature. It was determined that the linear regression model is: y = 25.2 + 3.3x where x is the number of chirps per minute and y is the estimated temperature in degrees Fahrenheit. What is the temperature if a cricket chirps 18 times? Round to the nearest degree. Di not include units.arrow_forward
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