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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section4.5: Correlation And Causation

Problem 15PPS

See similar textbooks

Question content area bottom

Part 1

(a) Display the data in a scatter plot. Choose the correct graph below.

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.

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.

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.

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

There is

▼

a weak negative

a perfect positive

a weak positive

a strong positive

a strong negative

a perfect negative

linear correlation.

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.