Measuring a person\'s strength – One way to measure a strength is via the bench
ID: 3067665 • Letter: M
Question
Measuring a person's strength – One way to measure a strength is via the bench press, maximum weight a person can bench press.
This unfortunately is a risky measurement for an individual that is not familiar with proper lifting techniques or just the strain of finding the maximum load. A study of 57 females athletes to see if repetitions at a low weight can be correlated to strength measured by the maximum amount the female athlete can lift. Below is the resulting scatterplot, and summary information. The variable x represents the number of 60 lb repetitions that a female athlete bench pressed, and y represents the maximum weight that she bench pressed.
A: What is the predicted maximum weight a female athlete can lift if she has 13 repetitions? Round to two decimal places.
B: Shown in the table is an excerpt from the data used to create the scatterplot. What is the residual value for a female athlete that had 8 repetitions? Round to two decimal places.
C: What percentage in the variation of maximum weight lifted can be explained by the number of repetitions made by the athlete using a liner model?
D: We want to estimate a maximum weight that can be bench pressed by a female athlete by measuring the number of 60lb repetitions. Which of these measurements would result in an extrapolation. Choose as many as apply. A: 12 B: 15 C: 20 D: 29 E: 40 F: 50
E: What is the strength of the linear association? Round to two decimal places.
Question 2 (1 point) MB (IN) y#1.2148x + 98.584 R 0.473 150 140 130 120 110 2 100 90 E 80 0 5 10 15 20 25 303540 Number of RepetitionsExplanation / Answer
Answer:
Measuring a person's strength – One way to measure a strength is via the bench press, maximum weight a person can bench press.
This unfortunately is a risky measurement for an individual that is not familiar with proper lifting techniques or just the strain of finding the maximum load. A study of 57 females athletes to see if repetitions at a low weight can be correlated to strength measured by the maximum amount the female athlete can lift. Below is the resulting scatterplot, and summary information. The variable x represents the number of 60 lb repetitions that a female athlete bench pressed, and y represents the maximum weight that she bench pressed.
A: What is the predicted maximum weight a female athlete can lift if she has 13 repetitions? Round to two decimal places.
When x=13,
Predicted weight = 1.2148*13+98.584 =114.3764
=114.38
B: Shown in the table is an excerpt from the data used to create the scatterplot. What is the residual value for a female athlete that had 8 repetitions? Round to two decimal places.
When x=8,
Predicted weight = 1.2148*8+98.584 =108.3024
Residual = 115.5-108.3024 =7.1976
=7.20
C: What percentage in the variation of maximum weight lifted can be explained by the number of repetitions made by the athlete using a liner model?
R square = 0.473
47.3% variations are explained.
D: We want to estimate a maximum weight that can be bench pressed by a female athlete by measuring the number of 60lb repetitions. Which of these measurements would result in an extrapolation. Choose as many as apply. A: 12 B: 15 C: 20 D: 29 E: 40 F: 50
Replication for maximum weight ( from the scatterplot) = 15,20
E: What is the strength of the linear association? Round to two decimal places.
r = sqrt(0.473) =0.68775
Regression coefficient is positive. Therefore correlation is positive.
Therefore r= 0.69.