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Magnetic resonance imaging is well established as a tool formeasuring blood velo

ID: 2917497 • Letter: M

Question

Magnetic resonance imaging is well established as a tool formeasuring blood velocities and volume flows. The accompanying dataon peak velocity (m/s) from scans of 23 patients in two differentplanes was read from a graph.

Level--: .60 .82. .85 .89 .95 1.01 1.01 1.05
Level--: .50 .68   .76 .64 .68 .86    .79   1.03

Level--: 1.08 1.11 1.18 1.17 1.22 1.29 1.28 1.32
Level--: .75     .90   .79    .86    .99   .80   1.10 1.15

Level--: 1.37 1.53 1.55 1.85 1.93 1.93 2.14
Level--: 1.04 1.16 1.28 1.39 1.57 1.39 1.32

a. Does there appear to be a difference between true averagevelocity in the two different planes? Carry out an appropriate testof hypotheses.

b. The authors of the article also regressed Level-- velocityagainst Level- velocity. The resulting estimated intercept andslope are .14701 and .65393, with corresponding estimated standarderrors .07877 and .05947, coefficient of determination .852 ands= .110673. The article included a comment that thisregression showed evidence of a strong linear relationship but aregression slope well below 1. Do you agree?

Explanation / Answer

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