Refer to the study, published in British Journal of Sports Medicine (April 2000), of the effect of massage on boxing performance. Two variables measured on the boxers were the blood lactate concentration (in mM) and the boxer's perceived recovery (on a 28-point scale). On the basis of information provided in the article, the boxing data shown in Table 3-1 were obtained for 16 five-round boxing performances in which a massage was given to the boxer between rounds. Table 3-1: Boxing Data (data set boxing) Blood Lactate Level (X) Perceived Recovery (Y) 3.8 7

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Refer to the study, published in British Journal of Sports Medicine (April 2000), of the effect of massage
on boxing performance. Two variables measured on the boxers were the blood lactate concentration
(in mM) and the boxer's perceived recovery (on a 28-point scale). On the basis of information provided
in the article, the boxing data shown in Table 3-1 were obtained for 16 five-round boxing performances
in which a massage was given to the boxer between rounds.
Table 3-1: Boxing Data (data set boxing)
Blood Lactate Level (X) Perceived Recovery (Y)
3.8
4.2
4.8
5
5.3
4.2
2.4
3.7
5.3
5.8
6
5.9
6.3
5.5
6.5
7
7
11
12
12
12
13
17
17
17
18
18
21
21
20
24
(a) Find the simple linear relationship between perceived recovery and blood lactate level.
(b) Compute 90% confidence interval for $₁.
(e) Conduct a test to determine whether blood lactate level is linearly related to perceived recovery.
Use a = 0.1.
(d) Compute the estimate of error variance in regression model (0²).
(e) The coefficient of determination (R²) represents the total sample variability around mean
responses that is explained by the linear relationship between response variable y and independent
variable z. Compute the coefficient of determinant R².
(c) Compute the 95% confidence interval for regression mean at r, = 5, E(Y|Xp=5).
Transcribed Image Text:Refer to the study, published in British Journal of Sports Medicine (April 2000), of the effect of massage on boxing performance. Two variables measured on the boxers were the blood lactate concentration (in mM) and the boxer's perceived recovery (on a 28-point scale). On the basis of information provided in the article, the boxing data shown in Table 3-1 were obtained for 16 five-round boxing performances in which a massage was given to the boxer between rounds. Table 3-1: Boxing Data (data set boxing) Blood Lactate Level (X) Perceived Recovery (Y) 3.8 4.2 4.8 5 5.3 4.2 2.4 3.7 5.3 5.8 6 5.9 6.3 5.5 6.5 7 7 11 12 12 12 13 17 17 17 18 18 21 21 20 24 (a) Find the simple linear relationship between perceived recovery and blood lactate level. (b) Compute 90% confidence interval for $₁. (e) Conduct a test to determine whether blood lactate level is linearly related to perceived recovery. Use a = 0.1. (d) Compute the estimate of error variance in regression model (0²). (e) The coefficient of determination (R²) represents the total sample variability around mean responses that is explained by the linear relationship between response variable y and independent variable z. Compute the coefficient of determinant R². (c) Compute the 95% confidence interval for regression mean at r, = 5, E(Y|Xp=5).
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