Correlation and regression

By Donal O'Brien, P. Scott. Statistics at Square One, 2019

265 citations recorded by the source corpus.

and asked them to mentally refold the cube with the shaded square on the bottom to determine if the two arrows came together. Shepard and Feng told the participants to do this as quickly and as accurately as possible. The time to answer whether the arrows came together or not was measured in milliseconds (ms; 1 ms = 1/1000 of a second). Shepard and Feng also recorded the number of correct responses. Shepard and Feng found that the response time was a linear function of the sum of the number of squares that were carried along as each fold was mentally made. In the above example, a participant might start by making a mental fold on the left edge of the shaded square. One square (the leftmost square with an arrow on it) is carried along. Next, the participant might make a mental fold on the bottom edge of the shaded square. This time three squares are carried along (all of the squares below the shaded square.) Finally, the participant might make a mental fold at the top edge of the bottom square in the diagram. Only the bottom square is carried during that fold. Thus, the sum of the number of squares carried along for each fold is 5 (1 square in the first fold, 3 squares in the second fold, and 1 square in the last fold.)

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