) Find a 95% confidence interval on the mean lpsa when Icavol = 1.35; ) Calculate a 95% prediction interval of lpsa when Icavol = 1.35.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Please answer last two parts please

Problem 1 (Use R, please show your R codes and output)
The dataset prostate (in R package "faraway") is from a study on 97 men with prostate
cancer who were due to receive a radical prostatectomy.
Fit a model with Ipsa as the response variable (y) and lcavol as the predictor variable (x)
and answer the following questions:
a)
b)
) Construct the analysis of variance table (ANOVA) and test for signifi-
regression.
) Calculate the coefficient of determination (R²) and interpret it.
) Find a 95% confidence interval on the slope (8₁);
) Find a 95% confidence interval on the mean lpsa when Icavol =
= 1.35;
) Calculate a 95% prediction interval of lpsa when Icavol = 1.35.
Transcribed Image Text:Problem 1 (Use R, please show your R codes and output) The dataset prostate (in R package "faraway") is from a study on 97 men with prostate cancer who were due to receive a radical prostatectomy. Fit a model with Ipsa as the response variable (y) and lcavol as the predictor variable (x) and answer the following questions: a) b) ) Construct the analysis of variance table (ANOVA) and test for signifi- regression. ) Calculate the coefficient of determination (R²) and interpret it. ) Find a 95% confidence interval on the slope (8₁); ) Find a 95% confidence interval on the mean lpsa when Icavol = = 1.35; ) Calculate a 95% prediction interval of lpsa when Icavol = 1.35.
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