Please help! An exercise science mejor wants to try to use body weight to predic
ID: 3227724 • Letter: P
Question
Please help!
An exercise science mejor 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 iag3 data a) What type of association does there appear to be between these two variables? no association can not be determined negative association positive 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. 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. 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. e) Compute a 95% prediction interval for the bench press of a 150 pound male. What is the upper limit? Give your answer to two decimal places.Explanation / Answer
The statistical software output for this problem is:
Simple linear regression results:
Dependent Variable: Bench press
Independent Variable: Body weight
Bench press = 70.171202 + 0.42843218 Body weight
Sample size: 30
R (correlation coefficient) = 0.80108369
R-sq = 0.64173507
Estimate of error standard deviation: 9.7593844
Parameter estimates:
Analysis of variance table for regression model:
Predicted values:
Hence,
a) Positive Association; Option D
b) Lower limit of 95% confidence interval = 130.07
c) Upper limit of 95% confidence interval = 138.80
d) Lower limit of 95% prediction interval = 113.97
e) Upper limit of 95% prediction interval = 154.90
Parameter Estimate Std. Err. Alternative DF T-Stat P-value Intercept 70.171202 10.399799 0 28 6.7473615 <0.0001 Slope 0.42843218 0.060496094 0 28 7.0819809 <0.0001