STAT 3470 Study Guide - Final Guide: Test Statistic, Scatter Plot, Confidence Interval

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In structural tests of material to be used in a plane"s fuselage, rivets are cycled (tapped) until they crack. The number of cycles (x, in thousands) is recorded along with the detectable crack length (y, in mm). Length 0. 193 0. 167 0. 209 0. 180 0. 153 0. 172 0. 165 0. 191 0. 208 0. 153 detectable crack length. Describe the relationship between number of cycles and. There is a weak, positive, linear relationship between the number of cycles and crack length. Some might argue that the point (246. 4,0. 167) is an outlier, an aberration from a steeper relationship for the other points. We will proceed with our analysis using the full sample. Predict the detectable crack length for x=400 or explain why we should not do so. We do not have good data to make this prediction. The range of observed x"s only extends to about 250 cycles. A prediction for 400 cycles would be an extrapolation, and would be untrustworthy.

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