(a) Display the data in a scatter plot. Choose the correct graph below.     A.       -5559401140Altitude (1000's ft)Speed of sound (ft/s)         A scatter plot has a horizontal axis labeled Altitude (thousands of feet) from negative 5 to 55 in increments of 5 and a vertical axis labeled Speed of sound (feet per second) from 940 to 1140 in increments of 20. The following 11 points are plotted: (0, 967); (5, 967); (10, 967); (15, 969); (20, 996); (25, 1015); (30, 1037); (35, 1056); (40, 1078); (45, 1097); (50, 1116). From left to right, the first 3 points follow the pattern of a horizontal line and the next 8 points tightly follow the pattern of a line that rises from left to right. All vertical coordinates are approximate.   B.       -5559401140Altitude (1000's ft)Speed of sound (ft/s)         A scatter plot has a horizontal axis labeled Altitude (thousands of feet) from negative 5 to 55 in increments of 5 and a vertical axis labeled Speed of sound (feet per second) from 940 to 1140 in increments of 20. The following 11 points are plotted: (0, 1116); (5, 1097); (10, 1078); (15, 1056); (20, 1037); (25, 1015); (30, 996); (35, 969); (40, 967); (45, 967); (50, 967). From left to right, the first 8 points tightly follow the pattern of a line that falls from left to right, and the next 3 points follow the pattern of a horizontal line. All vertical coordinates are approximate.   C.       9401140-555Altitude (1000's ft)Speed of sound (ft/s)         A scatter plot has a horizontal axis labeled Altitude (thousands of feet) from 940 to 1140 in increments of 20 and a vertical axis labeled Speed of sound (feet per second) from negative 5 to 55 in increments of 5. The following 11 points are plotted: (967, 0); (967, 5); (967, 10); (969, 15); (996, 20); (1015, 25); (1037, 30); (1056, 35); (1078, 40); (1097, 45); (1116, 50). From left to right, the first 3 points follow the pattern of a vertical line and the next 8 points tightly follow the pattern of a line that rises from left to right. All horizontal coordinates are approximate.   D.       9401140-555Altitude (1000's ft)Speed of sound (ft/s)         A scatter plot has a horizontal axis labeled Altitude (thousands of feet) from 940 to 1140 in increments of 20 and a vertical axis labeled Speed of sound (feet per second)from negative 5 to 55 in increments of 5. The following 11 points are plotted: (967, 50); (967, 45); (967, 40); (969, 35); (996, 30); (1015, 25); (1037, 20); (1056, 15); (1078, 10); (1097, 5); (1116, 0). From left to right, the first 3 points follow the pattern of a vertical line and the next 8 points tightly follow the pattern of a line that falls from left to right. All horizontal coordinates are approximate. ​(b) Calculate the sample correlation coefficient r.   r=nothing ​(Round to three decimal places as​ needed.) ​(c) Describe the type of​ correlation, if​ any, and interpret the correlation in the context of the data.   There is ▼   a strong positive a weak negative a strong negative a perfect negative a perfect positive no a weak positive linear correlation. Interpret the correlation. Choose the correct answer below.     A. Higher altitudes cause decreases in speeds of sound.   B. Based on the​ correlation, there does not appear to be a linear relationship between altitude and speed of sound.   C. Based on the​ correlation, there does not appear to be any relationship between altitude and speed of sound.   D. As altitude​ increases, speeds of sound tend to increase.   E. Higher altitudes cause increases in speeds of sound.   F. As altitude​ increases, speeds of sound tend to decrease.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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The accompanying table shows eleven altitudes​ (in thousands of​ feet) and the speeds of sound​ (in feet per​ second) at these altitudes. Complete parts​ (a) through​ (d) below.
Click here to view the data table.
LOADING...
Click here to view the table of critical values for the Pearson correlation coefficient.
LOADING...
 
 
 
​(a) Display the data in a scatter plot. Choose the correct graph below.
 
 
A.
 
 
 
-5559401140Altitude (1000's ft)Speed of sound (ft/s)
 
  •  
  •  
  •  
A scatter plot has a horizontal axis labeled Altitude (thousands of feet) from negative 5 to 55 in increments of 5 and a vertical axis labeled Speed of sound (feet per second) from 940 to 1140 in increments of 20. The following 11 points are plotted: (0, 967); (5, 967); (10, 967); (15, 969); (20, 996); (25, 1015); (30, 1037); (35, 1056); (40, 1078); (45, 1097); (50, 1116). From left to right, the first 3 points follow the pattern of a horizontal line and the next 8 points tightly follow the pattern of a line that rises from left to right. All vertical coordinates are approximate.
 
B.
 
 
 
-5559401140Altitude (1000's ft)Speed of sound (ft/s)
 
  •  
  •  
  •  
A scatter plot has a horizontal axis labeled Altitude (thousands of feet) from negative 5 to 55 in increments of 5 and a vertical axis labeled Speed of sound (feet per second) from 940 to 1140 in increments of 20. The following 11 points are plotted: (0, 1116); (5, 1097); (10, 1078); (15, 1056); (20, 1037); (25, 1015); (30, 996); (35, 969); (40, 967); (45, 967); (50, 967). From left to right, the first 8 points tightly follow the pattern of a line that falls from left to right, and the next 3 points follow the pattern of a horizontal line. All vertical coordinates are approximate.
 
C.
 
 
 
9401140-555Altitude (1000's ft)Speed of sound (ft/s)
 
  •  
  •  
  •  
A scatter plot has a horizontal axis labeled Altitude (thousands of feet) from 940 to 1140 in increments of 20 and a vertical axis labeled Speed of sound (feet per second) from negative 5 to 55 in increments of 5. The following 11 points are plotted: (967, 0); (967, 5); (967, 10); (969, 15); (996, 20); (1015, 25); (1037, 30); (1056, 35); (1078, 40); (1097, 45); (1116, 50). From left to right, the first 3 points follow the pattern of a vertical line and the next 8 points tightly follow the pattern of a line that rises from left to right. All horizontal coordinates are approximate.
 
D.
 
 
 
9401140-555Altitude (1000's ft)Speed of sound (ft/s)
 
  •  
  •  
  •  
A scatter plot has a horizontal axis labeled Altitude (thousands of feet) from 940 to 1140 in increments of 20 and a vertical axis labeled Speed of sound (feet per second)from negative 5 to 55 in increments of 5. The following 11 points are plotted: (967, 50); (967, 45); (967, 40); (969, 35); (996, 30); (1015, 25); (1037, 20); (1056, 15); (1078, 10); (1097, 5); (1116, 0). From left to right, the first 3 points follow the pattern of a vertical line and the next 8 points tightly follow the pattern of a line that falls from left to right. All horizontal coordinates are approximate.
​(b) Calculate the sample correlation coefficient r.
 
r=nothing
​(Round to three decimal places as​ needed.)
​(c) Describe the type of​ correlation, if​ any, and interpret the correlation in the context of the data.
 
There is
 
a strong positive
a weak negative
a strong negative
a perfect negative
a perfect positive
no
a weak positive
linear correlation.
Interpret the correlation. Choose the correct answer below.
 
 
A.
Higher altitudes cause decreases in speeds of sound.
 
B.
Based on the​ correlation, there does not appear to be a linear relationship between altitude and speed of sound.
 
C.
Based on the​ correlation, there does not appear to be any relationship between altitude and speed of sound.
 
D.
As altitude​ increases, speeds of sound tend to increase.
 
E.
Higher altitudes cause increases in speeds of sound.
 
F.
As altitude​ increases, speeds of sound tend to decrease.
​(d) Use the table of critical values for the Pearson correlation coefficient to make a conclusion about the correlation coefficient. Let
α=0.01.
 
The critical value is
nothing.
​Therefore, there
 
is
is not
sufficient evidence at the
1​%
level of significance to conclude that
 
there is no correlation
there is a significant linear correlation
between altitude and speed of sound.
​(Round to three decimal places as​ needed.)
Data Table
Altitude, x
Speed of sound, y a
1115.8
5
1096.9
10
1077.9
15
1055.5
20
1036.8
25
1014.5
30
996.3
35
969.1
40
966.7
45
966.7
50
966.7
Print
Done
Transcribed Image Text:Data Table Altitude, x Speed of sound, y a 1115.8 5 1096.9 10 1077.9 15 1055.5 20 1036.8 25 1014.5 30 996.3 35 969.1 40 966.7 45 966.7 50 966.7 Print Done
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