(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.
(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
Section: Chapter Questions
Problem 1P
Related questions
Question
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.
Click here to view the table of critical values for the Pearson LOADING...
LOADING...
(a) Display the data in a scatter plot . Choose the correct graph below.
(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
linear correlation .
▼
a strong positive
a weak negative
a strong negative
a perfect negative
a perfect positive
no
a weak positive
Interpret the correlation. Choose the correct answer below.
Higher altitudes cause decreases in speeds of sound.
Based on the correlation, there does not appear to be a linear relationship between altitude and speed of sound.
Based on the correlation, there does not appear to be any relationship between altitude and speed of sound.
As altitude increases, speeds of sound tend to increase.
Higher altitudes cause increases in speeds of sound.
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
sufficient evidence at the
between altitude and speed of sound.
nothing.
Therefore, there
▼
is
is not
1%
level of significance to conclude that
▼
there is no correlation
there is a significant linear correlation
(Round to three decimal places as needed.)
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