# The body armor report introduced in Example 12.1 also reported studies in which two different methods were used to measure

## Question:

The body armor report introduced in Example 12.1 also reported studies in which two different methods were used to measure the same body armor deformations from bullet impact. The goal of these studies was to assess the extent to which two different measurement instruments agree. Eighty-three back-face deformations (mm) were measured using a digital caliper (x) and a laser arm (y), resulting in a sample correlation coefficient of r = .878.

In Example 12.1

a. Compute a 90% CI for the true correlation coefficient ρ.

b. Test H_{0}: ρ = .8 versus H_{a}: ρ > .8 at level .05.

c. In a regression analysis of y on x, what proportion of variation in laser arm measurements could be explained by variation in digital caliper measurements?

d. If you decide to perform a regression analysis with digital caliper measurement as the response variable, what proportion of its variation is explainable by variation in laser arm measurement?

## Step by Step Answer:

**Related Book For**

## Modern Mathematical Statistics With Applications

**ISBN:** 9783030551551

3rd Edition

**Authors:** Jay L. Devore, Kenneth N. Berk, Matthew A. Carlton

**Question Details**

**12**- Regression and Correlation

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