Body image concern ranges from a healthy and positive body image to a mental illness involving obsessive focus on a perceived flaw in appearance. Researchers (Beilharz et al., 2016) measured body image concern using the Dysmorphic Concern Questionnaire (DCQ). The higher the score on this instrument, the more someone would have problems with body image. These DCQ scores were used as the explanatory variable. For the response, the researchers wanted to measure the participants’ attention to detail or local visual processing of an object. When we look at something, we usually identify it globally by looking at the object as a whole. When we need more information to make the identification, we start looking at the details within the object. This is local processing. To measure someone’s ability to process locally, or focus on the details, the researchers took images of two similar faces, morphed them into one face, then paired the morphed face with one of the original faces. This created a pair. They then did the same with more faces. The participants were shown one of these pairs of faces, then either the same face or the slightly different one in the pair. They had to identify whether the two faces were the same or different. To make things harder, and thus require more attention to detail, the researchers showed the faces upside down to the participants. The response is the percentage of trials each participant got correct. The question the researchers wanted to answer is whether there is an association between a person’s body image concern (as measured by DCQ score) and his or her attention to detail (as measured by percent accuracy on the inverted face test). The results can be found in BodyImageFace. Put the data in the Correlation/ Regression applet to answer (a)–(d). 

a. What is the least squares regression line where DCQ score is used to predict accuracy on the inverted face test? 

b. What is the value of the slope of the least squares regression line, and what does it mean in context? 

c. Is there strong evidence of an association between DCQ score and accuracy on the inverted face test? Explain. 

d. Is there evidence of a strong association between DCQ score and accuracy on the inverted face test? Explain.