Elementary Statistics ( 3rd International Edition ) Isbn:9781260092561
3rd Edition
ISBN: 9781259969454
Author: William Navidi Prof.; Barry Monk Professor
Publisher: McGraw-Hill Education
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Chapter 13.1, Problem 26aE
(a)
To determine
To calculate; the least-squares line for predicting evaporation (y) from temperature (x).
(b)
To determine
To construct; a
(c)
To determine
To conclude; the temperature is useful in predicting evaporation.
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A data set is given below.
(a) Draw a scatter diagram. Comment on the type of relation that appears to exist between x and y.
(b) Given that x = 3.8333, sx = 2.0412, y = 4.3167, sy = 1.3363, and r= -0.9153, determine the least-squares regression
line.
(c) Graph the least-squares regression line on the scatter diagram drawn in part (a).
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(a) Choose the correct graph below.
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There appears to be a linear, negative relationship.
(b) y = -0.599 x + (6.614)
(Round to three decimal places as needed.)
(c) Choose the correct graph below.
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2.6 3.0
B.
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C.
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Q
The accompanying data represent the number of days absent, x, and the final exam score, y, for a sample of college students in a general education course at a large state university. Complete parts (a) through (e) below.
Click the icon to view the absence count and final exam score data.
Click the icon to view a table of critical values for the correlation coefficient.
.....
(a) Find the least-squares regression line treating number of absences as the explanatory variable and the final exam score as the response variable.
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+
(Round to three decimal places as needed.)
(b) Interpret the slope and the y-intercept, if appropriate. Choose the correct answer below and fill in any answer boxes in your choice.
(Round to three decimal places as needed.)
Question Viewer
O A. For every additional absence, a student's final exam score drops
points, on average. It is not appropriate to interpret the y-intercept.
B. For every additional absence, a student's final exam score drops
points, on…
The Cadet is a popular model of sport utility vehicle, known for its relatively high resale value. The bivariate data given below were taken from a sample of Cadets, each bought new two years ago, and each sold used within the past month. For each Cadet in the sample, we have listed both the mileage
x (in thousands of miles) that the Cadet had on its odometer at the time it was sold used and the price y (in thousands of dollars) at which the Cadet was sold used. With the aim of predicting the used selling price from the number of miles driven, we might examine the least-squares regression line, =y−41.990.51x
. This line is shown in the scatter plot below.
Based on the sample data and the regression line, complete the following.
(a)For these data, mileages that are less than the mean of the mileages tend to be paired with used selling prices that are ▼(Choose one) the mean of the used selling prices.
(b)According to the regression equation, for an increase of…
Chapter 13 Solutions
Elementary Statistics ( 3rd International Edition ) Isbn:9781260092561
Ch. 13.1 - Prob. 7ECh. 13.1 - Prob. 8ECh. 13.1 - In Exercises 9 and 10, determine whether the...Ch. 13.1 - Prob. 10ECh. 13.1 - Prob. 11ECh. 13.1 - Prob. 12ECh. 13.1 - Prob. 13ECh. 13.1 - Prob. 14ECh. 13.1 - Prob. 15ECh. 13.1 - Prob. 16E
Ch. 13.1 - Prob. 17ECh. 13.1 - Prob. 18ECh. 13.1 - Prob. 19ECh. 13.1 - Prob. 20ECh. 13.1 - Prob. 21ECh. 13.1 - Prob. 22ECh. 13.1 - Prob. 23ECh. 13.1 - Prob. 24ECh. 13.1 - Prob. 25ECh. 13.1 - Prob. 26ECh. 13.1 - Prob. 27ECh. 13.1 - Prob. 28ECh. 13.1 - Prob. 26aECh. 13.1 - Calculator display: The following TI-84 Plus...Ch. 13.1 - Prob. 28aECh. 13.1 - Prob. 29ECh. 13.1 - Prob. 30ECh. 13.1 - Confidence interval for the conditional mean: In...Ch. 13.2 - Prob. 3ECh. 13.2 - Prob. 4ECh. 13.2 - Prob. 5ECh. 13.2 - Prob. 6ECh. 13.2 - Prob. 7ECh. 13.2 - Prob. 8ECh. 13.2 - Prob. 9ECh. 13.2 - Prob. 10ECh. 13.2 - Prob. 11ECh. 13.2 - Prob. 12ECh. 13.2 - Prob. 13ECh. 13.2 - Prob. 14ECh. 13.2 - Prob. 15ECh. 13.2 - Prob. 16ECh. 13.2 - Prob. 17ECh. 13.2 - Dry up: Use the data in Exercise 26 in Section...Ch. 13.2 - Prob. 19ECh. 13.2 - Prob. 20ECh. 13.2 - Prob. 21ECh. 13.3 - Prob. 7ECh. 13.3 - Prob. 8ECh. 13.3 - Prob. 9ECh. 13.3 - In Exercises 9 and 10, determine whether the...Ch. 13.3 - Prob. 11ECh. 13.3 - Prob. 12ECh. 13.3 - Prob. 13ECh. 13.3 - For the following data set: Construct the multiple...Ch. 13.3 - Engine emissions: In a laboratory test of a new...Ch. 13.3 - Prob. 16ECh. 13.3 - Prob. 17ECh. 13.3 - Prob. 18ECh. 13.3 - Prob. 19ECh. 13.3 - Prob. 20ECh. 13.3 - Prob. 21ECh. 13.3 - Prob. 22ECh. 13.3 - Prob. 23ECh. 13 - A confidence interval for 1 is to be constructed...Ch. 13 - A confidence interval for a mean response and a...Ch. 13 - Prob. 3CQCh. 13 - Prob. 4CQCh. 13 - Prob. 5CQCh. 13 - Prob. 6CQCh. 13 - Construct a 95% confidence interval for 1.Ch. 13 - Prob. 8CQCh. 13 - Prob. 9CQCh. 13 - Prob. 10CQCh. 13 - Prob. 11CQCh. 13 - Prob. 12CQCh. 13 - Prob. 13CQCh. 13 - Prob. 14CQCh. 13 - Prob. 15CQCh. 13 - Prob. 1RECh. 13 - Prob. 2RECh. 13 - Prob. 3RECh. 13 - Prob. 4RECh. 13 - Prob. 5RECh. 13 - Prob. 6RECh. 13 - Prob. 7RECh. 13 - Prob. 8RECh. 13 - Prob. 9RECh. 13 - Prob. 10RECh. 13 - Air pollution: Following are measurements of...Ch. 13 - Icy lakes: Following are data on maximum ice...Ch. 13 - Prob. 13RECh. 13 - Prob. 14RECh. 13 - Prob. 15RECh. 13 - Prob. 1WAICh. 13 - Prob. 2WAICh. 13 - Prob. 1CSCh. 13 - Prob. 2CSCh. 13 - Prob. 3CSCh. 13 - Prob. 4CSCh. 13 - Prob. 5CSCh. 13 - Prob. 6CSCh. 13 - Prob. 7CS
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- Find the equation of the regression line for the following data set. x 1 2 3 y 0 3 4arrow_forwardThe Cadet is a popular model of sport utility vehicle, known for its relatively high resale value. The bivariate data given below were taken from a sample of fifteen Cadets, each bought new two years ago, and each sold used within the past month. For each Cadet in the sample, we have listed both the mileage x (in thousands of miles) that the Cadet had on its odometer at the time it was sold used and the price y (in thousands of dollars) at which the Cadet was sold used. The least-squares regression line for these data has equation y = 40.63 - 0.46x . This line is shown in the scatter plot below. Mileage, x(in thousands) Used selling price, y(in thousands of dollars) 23.9 29.5 37.6 22.6 20.8 30.9 23.3 33.1 28.3 26.1 27.3 29.9 27.7 29.8 20.9 30.3 25.8 27.2 34.4 25.9 23.9 27.4 23.8 27.5 23.2 31.4 15.6 34.0 29.4 27.7 Send…arrow_forwardThe Cadet is a popular model of sport utility vehicle, known for its relatively high resale value. The bivariate data given below were taken from a sample of fifteen Cadets, each bought new two years ago, and each sold used within the past month. For each Cadet in the sample, we have listed both the mileage x (in thousands of miles) that the Cadet had on its odometer at the time it was sold used and the price y (in thousands of dollars) at which the Cadet was sold used. The least-squares regression line for these data has equation y=41.52-0.49x. This line is shown in the scatter plot below. Mileage, x (in thousands) 15.7 23.3 27.5 20.7 23.9 23.6 21.1 25.6 26.5 24.2 37.7 22.9 28.0 29.4 34.1 Send data to calculator V Used selling price, y (in thousands of dollars) Send data to Excel 34.5 33.9 29.9 31.2 26.9 27.3 31.4 26.4 30.8 30.3 22.8 30.5 25.9 28.1 25.5 Based on the sample data and the regression line, complete the following. Used selling price (in thousands of dollars) 40+ 35 30- 25-…arrow_forward
- The Cadet is a popular model of sport utility vehicle, known for its relatively high resale value. The bivariate data given below were taken from a sample of fifteen Cadets, each bought new two years ago, and each sold used within the past month. For each Cadet in the sample, we have listed both the mileage x (in thousands of miles) that the Cadet had on its odometer at the time it was sold used and the price y (in thousands of dollars) at which the Cadet was sold used. The least-squares regression line for these data has equation y = 40.86-0.45x. This line is shown in the scatter plot below. Mileage, x (in thousands) 29.7 27.8 26.8 24.2 21.1 23.0 24.3 15.4 37.7 23.6 34.4 27.8 23.5 20.9 259 Used selling price, y (in thousands of dollars) 27.4 29.4 31.2 30.1 31.7 31.7 27.2 34.2 23.4 28.2 26.3 26.5 33.7 30.6 267 Used selling price (in thousands of dollars) 40- 35+ 30- 25- 20 THIS 15 X 20 X X X 30 Mileagex (in thousands) X 35 40arrow_forwardThe Cadet is a popular model of sport utility vehicle, known for its relatively high resale value. The bivariate data given below were taken from a sample of sixteen Cadets, each bought new two years ago, and each sold used within the past month. For each Cadet in the sample, we have listed both the mileage x (in thousands of miles) that the Cadet had on its odometer at the time it was sold used and the price y (in thousands of dollars) at which the Cadet was sold used. With the aim of predicting the used selling price from the number of miles driven, we might examine the least-squares regression line, Ŷ=42.39-0.52x. This line is shown in the scatter plot below. (The 2nd picture contains the rest of the data as it would not fit in the first pic and it includes the question as well.)arrow_forwardThe Cadet is a popular model of sport utility vehicle, known for its relatively high resale value. The bivariate data given below were taken from a sample of sixteen Cadets, each bought new two years ago, and each sold used within the past month. For each Cadet in the sample, we have listed both the mileage x (in thousands of miles) that the Cadet had on its odometer at the time it was sold used and the price y (in thousands of dollars) at which the Cadet was sold used. The least-squares regression line for these data has equation Ŷ=42.80-0.53x. This line is shown in the scatter plot below. (The 2nd picture contains the rest of the data as it would not fit in the first pic and it includes the question as well.)arrow_forward
- The Cadet is a popular model of sport utility vehicle, known for its relatively high resale value. The bivariate data given below were taken from a sample of sixteen Cadets, each bought new two years ago, and each sold used within the past month. For each Cadet in the sample, we have listed both the mileage x (in thousands of miles) that the Cadet had on its odometer at the time it was sold used and the price y (in thousands of dollars) at which the Cadet was sold used. With the aim of predicting the used selling price from the number of miles driven, we might examine the least-squares regression line, y = 41.51-0.49x. This line is shown in the scatter plot below. Mileage, x (in thousands) Used selling price, y (in thousands of dollars) 24.2 27.6 26.9 30.0 28.1 25.5 40+ 20.5 30.4 15.5 34.5 21.1 31.0 24.1 29.8 30- 23.4 28.3 37.8 23.3 27.7 29.5 20- 23.6 33.2 39.3 21.3 23.3 31.3 Mileage (in thousands) 25.7 26.4 34.4 25.4 29.4 28.8 Send data to calculator Send data to Excel Based on the…arrow_forwardThe Cadet is a popular model of sport utility vehicle, known for its relatively high resale value. The bivariate data given below were taken from a sample of sixteen Cadets, each bought new two years ago, and each sold used within the past month. For each Cadet in the sample, we have listed both the mileage x (in thousands of miles) that the Cadet had on its odometer at the time it was sold used and the price y (in thousands of dollars) at which the Cadet was sold used. The least- squares regression line for these data has equation y=41.49 -0.48x. This line is shown in the scatter plot below. Mileage, x (in thousands) 21.1 28.1 34.3 15.5 27.3 22.6 24.4 27.8 39.2 37.9 25.8 23.7 24.5 23.4 29.7 20.7 Send data to calculator V Used selling price, y (in thousands of dollars) 32.0 26.5 26.0 33.5 30.5 29.9 30.5 30.4 21.5 22.8 26.5 27.8 27.7 34.1 27.8 31.0 Used selling price (in thousands of dollars) Based on the sample data and the regression line, complete the following. 40- 30- FINS (a) For…arrow_forwardThe Cadet is a popular model of sport utility vehicle, known for its relatively high resale value. The bivariate data given below were taken from a sample of sixteen Cadets, each bought new two years ago, and each sold used within the past month. For each Cadet in the sample, we have listed both the mileage x (in thousands of miles) that the Cadet had on its odometer at the time it was sold used and the price y (in thousands of dollars) at which the Cadet was sold used. The least-squares regression line for these data has equation ŷ=42.39-0.52x. This line is shown in the scatter plot below. Mileage, x (in thousands) Used selling price, y (in thousands of dollars) 23.0 37.6 23.7 28.0 38.9 21.6 25.7 27.1 20.9 31.8 20.9 31.2 29.1 27.6 24.2 30.0 28.2 25.9 22.8 31.4 15.4 34.5 23.5 33.2 24.1 27.5 27.7 30.8 26.8 30.5 34.4 25.3 Send data to calculator Send data to Excel Based on the sample data and the regression line, complete the following. Used selling price (in thousands of dollars) 40- +…arrow_forward
- The Cadet is a popular model of sport utility vehicle, known for its relatively high resale value. The bivariate data given below were taken from a sample of sixteen Cadets, each bought new two years ago, and each sold used within the past month. For each Cadet in the sample, we have listed both the mileage x (in thousands of miles) that the Cadet had on its odometer at the time it was sold used and the price y (in thousands of dollars) at which the Cadet was sold used. With the aim of predicting the used selling price from the number of miles driven, we might examine the least-squares regression line, y=42.91-0.54.x. This line is shown in the scatter plot below. Mileage, x (in thousands) 28.3 29.3 34.5 23.4 15.2 27.2 24.3 21.1 37.5 23.8 24.3 21.0 38.9 26.0 28.1 23.0 Used selling price, y (in thousands of dollars) 25.9 27.9 24.9 33.5 33.9 30.8 27.3 31.7 22.5 28.9 29.6 31.4 20.7 26.2 29.9 31.2 Send data to calc... ✔ Send data to Excel Used selling price (in thousands of dollars) 30+ 25-…arrow_forwardA data set is given below. (a) Draw a scatter diagram. Comment on the type of relation that appears to exist between x and y. (b) Given that x = 3.6667, sx = 2.4221, y =4.1667, sy = 1.5958, and r= -0.9348, determine the least-squares regression line. (c) Graph the least-squares regression line on the scatter diagram drawn in part (a). A. 0- X (a) Choose the correct graph below. 0 y 0 2 3 5 6 6 5.7 5.7 5.4 3.2 24 26 6 B. 0- 5 D gd O C. 6- 0- 0 6 Q M OD. 6 Ay 0- O Q Qarrow_forwardA data set is given below. Next question (a) Draw a scatter diagram. Comment on the type of relation that appears to exist between x and y. (b) Given that x= 3.5000, s, = 2.5100, y = 3.9333, s, = 2.0176, and r=-0.9635, determine the least-squaros regression line. (c) Graph the least-squares regression line on the scatter diagram drawn in part (a) 1 4 4 6 6 6.0 6.4 4.3 3.4 16 19 (a) Choose the correct graph below. O A. C B. OD. There appears to be V relationship Statcrunch Next O Aarrow_forward
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