An article reported data from a study in which both a baseline gasoline mixture and a reformulated gasoline were used. Consider the following observations on age (yr) and NOx emissions (g/kWh): Engine 1 6 7 9 5 7 2 3 4 Age 0 0 2 11 Baseline 1.70 4.38 4.06 1.24 Reformulated 1.86 5.91 5.51 2.70 Construct scatter plots of the baseline NOx emissions versus age. 5.29 10 16 9 12 4 0.59 3.35 3.45 0.73 1.22 6.50 0.71 4.95 4.86 0.72 1.41 6 5 4 LE 2 age 15 7 NO, 6 O 5 6 5 6 0 5 NOX 0 3 NO, Construct scatter plots of the reformulated NOx emissions versus age. 0 5 5 NOX 0 10 5 10 5 15 ME age 15 10 age 10 4 O As age increases, emissions also increase. O As age increases, emissions decrease. NO, 6. 6 0 5 NOX 0 NO₂ 0 5 NE age 15 NOX 5 0 What appears to be the nature of the relationship between these two variables? O There is no compelling relationship between the data. 8 0 5 10 10 10 10 15 15 15 15 age age age age
An article reported data from a study in which both a baseline gasoline mixture and a reformulated gasoline were used. Consider the following observations on age (yr) and NOx emissions (g/kWh): Engine 1 6 7 9 5 7 2 3 4 Age 0 0 2 11 Baseline 1.70 4.38 4.06 1.24 Reformulated 1.86 5.91 5.51 2.70 Construct scatter plots of the baseline NOx emissions versus age. 5.29 10 16 9 12 4 0.59 3.35 3.45 0.73 1.22 6.50 0.71 4.95 4.86 0.72 1.41 6 5 4 LE 2 age 15 7 NO, 6 O 5 6 5 6 0 5 NOX 0 3 NO, Construct scatter plots of the reformulated NOx emissions versus age. 0 5 5 NOX 0 10 5 10 5 15 ME age 15 10 age 10 4 O As age increases, emissions also increase. O As age increases, emissions decrease. NO, 6. 6 0 5 NOX 0 NO₂ 0 5 NE age 15 NOX 5 0 What appears to be the nature of the relationship between these two variables? O There is no compelling relationship between the data. 8 0 5 10 10 10 10 15 15 15 15 age age age age
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 2AGP
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Question
Suppose that in a certain chemical process the reaction time y (hr) is related to the temperature (°F) in the chamber in which the reaction takes place according to the simple linear regression model with equation y = 5.10 − 0.01x and ? = 0.07.
(a) What is the expected change in reaction time for a 1°F increase in temperature? For a 12°F increase in temperature?
(b) What is the expected reaction time when temperature is 190°F? When temperature is 240°F?
(c) Suppose five observations are made independently on reaction time, each one for a temperature of 240°F. What is the probability that all five times are between 2.58 and 2.82 hours? (Round your answer to four decimal places.)
(d) What is the probability that two independently observed reaction times for temperatures 1° apart are such that the time at the higher temperature exceeds the time at the lower temperature? (Round your answer to four decimal places.)
| 1°F increase | hr | |
| 12°F increase | hr |
(b) What is the expected reaction time when temperature is 190°F? When temperature is 240°F?
| 190°F | hr | |
| 240°F | hr |
(c) Suppose five observations are made independently on reaction time, each one for a temperature of 240°F. What is the probability that all five times are between 2.58 and 2.82 hours? (Round your answer to four decimal places.)
(d) What is the probability that two independently observed reaction times for temperatures 1° apart are such that the time at the higher temperature exceeds the time at the lower temperature? (Round your answer to four decimal places.)
Transcribed Image Text:An article reported data from a study in which both a baseline gasoline mixture and a reformulated gasoline were used. Consider the following observations on age (yr) and NOx emissions (g/kWh):
Engine
1
2
3
4
5
Age
0
0
2
11
7
Baseline
1.70 4.38 4.06 1.24 5.29
Reformulated 1.86 5.91 5.51 2.70 6.50
Construct scatter plots of the baseline NOx emissions versus age.
O
O
6
O
5
4
3
2
1:
6
7 NOx
5
4
3
NOX
6
5
4
3
2
1
0
3
2
1
0
NO
0
6
5.
4
NOX
5
EN
age
15
0
5
10
5
5
10
15
10
10
Construct scatter plots of the reformulated NOx emissions versus age.
15
age
15
O As age increases, emissions also increase.
O As age increases, emissions decrease.
age
O
age
7
6
8
16
9
0
0.59 3.35 3.45
0.71 4.95 4.86
78
6
5
4
3
2
6
5
4
3
2
1
6
5
4
3
2
6
5
NOX
4
3
2
●
0
NO,
0
INOX
0
INOX
0
What appears to be the nature of the relationship between these two variables?
O There is no compelling relationship between the data.
5
5
5
9
12
0.73
0.72
5
10
10
10
10
10
4
1.22
1.41
15
15
15
15
age
age
age
age
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