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

) 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
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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 the 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 **lpsa** as the response variable (y) and **lcavol** as the predictor variable (x) and answer the following questions: - **a)** Construct the analysis of variance table (ANOVA) and test for significant regression. - **b)** Calculate the coefficient of determination (\( R^2 \)) and interpret it. - **c)** Find a 95% confidence interval on the slope (\( \beta_1 \)). - **d)** Find a 95% confidence interval on the mean **lpsa** when **lcavol** = 1.35. - **e)** Calculate a 95% prediction interval of **lpsa** when **lcavol** = 1.35.
Transcribed Image Text:### Problem 1 (Use R, please show your R codes and output) The dataset **prostate** (in the 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 **lpsa** as the response variable (y) and **lcavol** as the predictor variable (x) and answer the following questions: - **a)** Construct the analysis of variance table (ANOVA) and test for significant regression. - **b)** Calculate the coefficient of determination (\( R^2 \)) and interpret it. - **c)** Find a 95% confidence interval on the slope (\( \beta_1 \)). - **d)** Find a 95% confidence interval on the mean **lpsa** when **lcavol** = 1.35. - **e)** Calculate a 95% prediction interval of **lpsa** when **lcavol** = 1.35.
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