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

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Chapter1: Starting With Matlab
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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
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