Thanks! An exercise science major wants to try to use body weight to predict how
ID: 3229702 • Letter: T
Question
Thanks!
An exercise science major wants to try to use body weight to predict how much someone can bench press. He collects the data shown below on 30 male students. Both quantities are measured in pounds. Assignment 10q3 data a) What type of association does there appear to be between these two variables? positive association no association O can not be determined O negative association b) Compute a 95% confidence interval for the average bench press of 150 pound males. What is the lower limit? Give your answer to two decimal places 35.06 c) Compute a 95% confidence interval for the average bench press of 150 pound males. What is the upper limit? Give your answer to two decimal places. 141.90 d) Compute a 95% prediction interval for the bench press of a 150 pound male. What is the lower limit? Give your answer to two decimal places. 122.2 e) Compute a 95% prediction interval for the bench press of a 150 pound male. What is the upper mit? Give your answer to two decimal places. 154.7Explanation / Answer
From following resuls lower limit=122.25, and uppper limit=154.71
Regression Analysis: Bench press versus Body weight
Analysis of Variance
Source DF Adj SS Adj MS F-Value P-Value
Regression 1 4581.2 4581.23 76.35 0.000
Body weight 1 4581.2 4581.23 76.35 0.000
Error 28 1680.1 60.01
Lack-of-Fit 24 1371.6 57.15 0.74 0.719
Pure Error 4 308.5 77.13
Total 29 6261.4
Model Summary
S R-sq R-sq(adj) R-sq(pred)
7.74629 73.17% 72.21% 69.59%
Coefficients
Term Coef SE Coef T-Value P-Value VIF
Constant 72.28 8.58 8.42 0.000
Body weight 0.4413 0.0505 8.74 0.000 1.00
Regression Equation
Bench press = 72.28 + 0.4413 Body weight
Prediction for Bench press
Regression Equation
Bench press = 72.28 + 0.4413 Body weight
Variable Setting
Body weight 150
Fit SE Fit 95% CI 95% PI
138.481 1.66953 (135.061, 141.901) (122.249, 154.713)
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