A person who can identify or produce a musical tone correctly without any outside reference is said to have perfect pitch. This can be tested using a pitch identification test (PIT). Perfect pitch has also been associated with certain disabilities. Danish researchers (Dohn et al., 2012) used the autism-spectrum quotient (AQ) with 34 adults to see whether PIT scores are associated with autism traits. The results are in the file AutismPitch. 

a. Use the Corr/Regression applet to determine the equation of the least squares regression line. Identify all variables used in the equation. 

b. Is a linear model appropriate for these data? Explain. 

c. What is the value of the slope of the least squares regression line, and what does it mean in terms of the PIT and AQ scores? 

d. What percentage of the variation in the AQ scores is explained by its linear relationship with the PIT score? 

e. Use the regression model to predict the AQ score for someone with a PIT score of 62. 

f. One of the subjects had a PIT score of 62 and an AQ score of 17. Calculate the residual for this subject and explain what it means.

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r² = 0.121 s = 0.38 Regression Table: Coeff SE t-stat p-value -12.7731 6.3298 -2.02 0.0488 0.4612 0.1724 2.68 0.0099 Term Intercept Temp