The accompanying table shows the maximum weights (in kilograms) for which one repetition of a half squat can be performed and the times (in seconds) to run a 10-meter sprint for 12 international soccer players. 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... Question content area bottom Part 1 (a) Display the data in a scatter plot. Choose the correct graph below. A. 1402201.41.61.82.02.22.4Max Weight (kg)Time (seconds) A scatter plot has a horizontal axis labeled Maximum Weight (kilograms) from 140 to 220 in increments of 10 and a vertical axis labeled Time (seconds) from 1.4 to 2.4 in increments of 0.1. The following 12 points are plotted: (145, 2.16); (145, 2.18); (150, 2.09); (160, 2.04); (165, 2.03); (170, 1.94); (175, 1.83); (180, 1.71); (180, 1.75); (180, 1.90); (185, 1.73); (200, 1.53). The points follow a general trend of falling from left to right at a constant rate. B. 1402201.41.61.82.02.22.4Max Weight (kg)Time (seconds) A scatter plot has a horizontal axis labeled Maximum Weight (kilograms) from 140 to 220 in increments of 10 and a vertical axis labeled Time (seconds) from 1.4 to 2.4 in increments of 0.1. The following 12 points are plotted: (145, 1.53); (145, 1.71); (150, 1.73); (160, 1.75); (165, 1.83); (170, 1.9); (175, 1.94); (180, 2.03); (180, 2.04); (180, 2.09); (185, 2.16); (200, 2.18). The points follow a general trend of rising from left to right at a constant rate. C. 1.42.4140160180200220Max Weight (kg)Time (seconds) A scatter plot has a horizontal axis labeled Maximum Weight (kilograms) from 1.4 to 2.4 in increments of 0.1 and a vertical axis labeled Time (seconds) from 140 to 220 in increments of 10. The following 12 points are plotted: (1.53, 200); (1.71, 180); (1.73, 185); (1.75, 180); (1.83, 175); (1.9, 180); (1.94, 170); (2.03, 165); (2.04, 160); (2.09, 150); (2.16, 145); (2.18, 145). The points follow a general trend of falling from left to right at a constant rate. D. 1.42.4140160180200220Max Weight (kg)Time (seconds) A scatter plot has a horizontal axis labeled Maximum Weight (kilograms) from 1.4 to 2.4 in increments of 0.1 and a vertical axis labeled Time (seconds) from 140 to 220 in increments of 10. The following 12 points are plotted: (1.53, 145); (1.71, 145); (1.73, 150); (1.75, 160); (1.83, 165); (1.9, 170); (1.94, 175); (2.03, 180); (2.04, 180); (2.09, 180); (2.16, 185); (2.18, 200). The points follow a general trend of rising from left to right at a constant rate. Part 2 (b) Calculate the sample correlation coefficient r. r=enter your response here (Round to three decimal places as needed.) Part 3 (c) Describe the type of correlation, if any, and interpret the correlation in the context of the data. There is ▼ a weak negative a perfect positive a weak positive a strong positive no a strong negative a perfect negative linear correlation. Part 4 Interpret the correlation. Choose the correct answer below. A. As the maximum weight for which one repetition of a half squat can be performed increases, time to run a 10-meter sprint tends to decrease. B. Based on the correlation, there does not appear to be any relationship between the maximum weight for which one repetition of a half squat can be performed and time to run a 10-meter sprint. C. Increases in the maximum weight for which one repetition of a half squat can be performed cause time to run a 10-meter sprint to increase. D. As the maximum weight for which one repetition of a half squat can be performed increases, time to run a 10-meter sprint tends to increase. E. Increases in the maximum weight for which one repetition of a half squat can be performed cause time to run a 10-meter sprint to decrease. F. Based on the correlation, there does not appear to be a linear relationship between the maximum weight for which one repetition of a half squat can be performed and time to run a 10-meter sprint. Part 5 (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 enter your response here. Therefore, there ▼ is is not sufficient evidence at the 1% level of significance to conclude that ▼ there is a significant linear correlation there is no correlation between the maximum weight for which one repetition of a half squat can be performed and time to run a 10-meter sprint. (Round to three decimal places as needed.) Maximum weight, x Time, y 170 1.94 180 1.9 145 2.16 200 1.53 145 2.18 185 1.73 175 1.83 160 2.04 180 1.71 180 1.75 150 2.09 165 2.03
The accompanying table shows the maximum weights (in kilograms) for which one repetition of a half squat can be performed and the times (in seconds) to run a 10-meter sprint for 12 international soccer players. 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... Question content area bottom Part 1 (a) Display the data in a scatter plot. Choose the correct graph below. A. 1402201.41.61.82.02.22.4Max Weight (kg)Time (seconds) A scatter plot has a horizontal axis labeled Maximum Weight (kilograms) from 140 to 220 in increments of 10 and a vertical axis labeled Time (seconds) from 1.4 to 2.4 in increments of 0.1. The following 12 points are plotted: (145, 2.16); (145, 2.18); (150, 2.09); (160, 2.04); (165, 2.03); (170, 1.94); (175, 1.83); (180, 1.71); (180, 1.75); (180, 1.90); (185, 1.73); (200, 1.53). The points follow a general trend of falling from left to right at a constant rate. B. 1402201.41.61.82.02.22.4Max Weight (kg)Time (seconds) A scatter plot has a horizontal axis labeled Maximum Weight (kilograms) from 140 to 220 in increments of 10 and a vertical axis labeled Time (seconds) from 1.4 to 2.4 in increments of 0.1. The following 12 points are plotted: (145, 1.53); (145, 1.71); (150, 1.73); (160, 1.75); (165, 1.83); (170, 1.9); (175, 1.94); (180, 2.03); (180, 2.04); (180, 2.09); (185, 2.16); (200, 2.18). The points follow a general trend of rising from left to right at a constant rate. C. 1.42.4140160180200220Max Weight (kg)Time (seconds) A scatter plot has a horizontal axis labeled Maximum Weight (kilograms) from 1.4 to 2.4 in increments of 0.1 and a vertical axis labeled Time (seconds) from 140 to 220 in increments of 10. The following 12 points are plotted: (1.53, 200); (1.71, 180); (1.73, 185); (1.75, 180); (1.83, 175); (1.9, 180); (1.94, 170); (2.03, 165); (2.04, 160); (2.09, 150); (2.16, 145); (2.18, 145). The points follow a general trend of falling from left to right at a constant rate. D. 1.42.4140160180200220Max Weight (kg)Time (seconds) A scatter plot has a horizontal axis labeled Maximum Weight (kilograms) from 1.4 to 2.4 in increments of 0.1 and a vertical axis labeled Time (seconds) from 140 to 220 in increments of 10. The following 12 points are plotted: (1.53, 145); (1.71, 145); (1.73, 150); (1.75, 160); (1.83, 165); (1.9, 170); (1.94, 175); (2.03, 180); (2.04, 180); (2.09, 180); (2.16, 185); (2.18, 200). The points follow a general trend of rising from left to right at a constant rate. Part 2 (b) Calculate the sample correlation coefficient r. r=enter your response here (Round to three decimal places as needed.) Part 3 (c) Describe the type of correlation, if any, and interpret the correlation in the context of the data. There is ▼ a weak negative a perfect positive a weak positive a strong positive no a strong negative a perfect negative linear correlation. Part 4 Interpret the correlation. Choose the correct answer below. A. As the maximum weight for which one repetition of a half squat can be performed increases, time to run a 10-meter sprint tends to decrease. B. Based on the correlation, there does not appear to be any relationship between the maximum weight for which one repetition of a half squat can be performed and time to run a 10-meter sprint. C. Increases in the maximum weight for which one repetition of a half squat can be performed cause time to run a 10-meter sprint to increase. D. As the maximum weight for which one repetition of a half squat can be performed increases, time to run a 10-meter sprint tends to increase. E. Increases in the maximum weight for which one repetition of a half squat can be performed cause time to run a 10-meter sprint to decrease. F. Based on the correlation, there does not appear to be a linear relationship between the maximum weight for which one repetition of a half squat can be performed and time to run a 10-meter sprint. Part 5 (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 enter your response here. Therefore, there ▼ is is not sufficient evidence at the 1% level of significance to conclude that ▼ there is a significant linear correlation there is no correlation between the maximum weight for which one repetition of a half squat can be performed and time to run a 10-meter sprint. (Round to three decimal places as needed.) Maximum weight, x Time, y 170 1.94 180 1.9 145 2.16 200 1.53 145 2.18 185 1.73 175 1.83 160 2.04 180 1.71 180 1.75 150 2.09 165 2.03
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 the maximum weights (in kilograms) for which one repetition of a half squat can be performed and the times (in seconds) to run a 10-meter sprint for
12
international soccer players. 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...
Question content area bottom
Part 1
(a) Display the data in a scatter plot . Choose the correct graph below.
Part 2
(b) Calculate the sample correlation coefficient r.
r=enter your response here
(Round to three decimal places as needed.)
Part 3
(c) Describe the type of correlation, if any, and interpret the correlation in the context of the data.
There is
linear correlation .
▼
a weak negative
a perfect positive
a weak positive
a strong positive
no
a strong negative
a perfect negative
Part 4
Interpret the correlation. Choose the correct answer below.
As the maximum weight for which one repetition of a half squat can be performed increases, time to run a 10-meter sprint tends to decrease.
Based on the correlation, there does not appear to be any relationship between the maximum weight for which one repetition of a half squat can be performed and time to run a 10-meter sprint.
Increases in the maximum weight for which one repetition of a half squat can be performed cause time to run a 10-meter sprint to increase.
As the maximum weight for which one repetition of a half squat can be performed increases, time to run a 10-meter sprint tends to increase.
Increases in the maximum weight for which one repetition of a half squat can be performed cause time to run a 10-meter sprint to decrease.
Based on the correlation, there does not appear to be a linear relationship between the maximum weight for which one repetition of a half squat can be performed and time to run a 10-meter sprint.
Part 5
(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 the maximum weight for which one repetition of a half squat can be performed and time to run a 10-meter sprint.
enter your response here.
Therefore, there
▼
is
is not
1%
level of significance to conclude that
▼
there is a significant linear correlation
there is no correlation
(Round to three decimal places as needed.)
Maximum weight, x Time, y
170 1.94
180 1.9
145 2.16
200 1.53
145 2.18
185 1.73
175 1.83
160 2.04
180 1.71
180 1.75
150 2.09
165 2.03
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