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.

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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.

Maximum weight, x
Time, y
165
1.93
170
1.87
150
2.16
200
1.52
150
2.16
190
1.72
180
1.82
150
2
185
1.7
175
1.76
160
2.09
165
2
Transcribed Image Text:Maximum weight, x Time, y 165 1.93 170 1.87 150 2.16 200 1.52 150 2.16 190 1.72 180 1.82 150 2 185 1.7 175 1.76 160 2.09 165 2
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 correlation coefficient.
(a) Display the data in a scatter plot. Choose the correct graph below.
O A.
В.
C.
D.
2.2-
220-
220-
2.2-
2.0어 .
200-
200-
2.0-
1.8-
180-
180-
1.8-
1.6-
160-
160-
1.6-
1.4+
140
Max Weight (kg)
140+
1.4
Max Weight (kg)
140+
1.4
Max Weight (kg)
1.4+
140
Max Weight (kg)
220
2.2
2.2
220
(b) Calculate the sample correlation coefficient r.
(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.
Interpret the correlation. Choose the correct answer below.
A. 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.
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 decrease.
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. 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.
OF. 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.
(d) Use the table of critical values for the Pearson correlation coefficient to make a conclusion about the correlation coefficient. Let a = 0.01.
The critical value is
Therefore, there
sufficient evidence at the 1% level of significance to conclude that
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.)
Time (seconds)
Time (seconds)
Time (seconds)
Time (seconds)
Transcribed Image Text: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 correlation coefficient. (a) Display the data in a scatter plot. Choose the correct graph below. O A. В. C. D. 2.2- 220- 220- 2.2- 2.0어 . 200- 200- 2.0- 1.8- 180- 180- 1.8- 1.6- 160- 160- 1.6- 1.4+ 140 Max Weight (kg) 140+ 1.4 Max Weight (kg) 140+ 1.4 Max Weight (kg) 1.4+ 140 Max Weight (kg) 220 2.2 2.2 220 (b) Calculate the sample correlation coefficient r. (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. Interpret the correlation. Choose the correct answer below. A. 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. 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 decrease. 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. 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. OF. 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. (d) Use the table of critical values for the Pearson correlation coefficient to make a conclusion about the correlation coefficient. Let a = 0.01. The critical value is Therefore, there sufficient evidence at the 1% level of significance to conclude that 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.) Time (seconds) Time (seconds) Time (seconds) Time (seconds)
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