Read the following description of a data set. Researchers at a cognitive psychology lab are studying how children develop their color vocabulary. In a recent study, the researchers showed children of various ages different colored objects and asked them to name the colors.They recorded each child's age (in months), x, and the number of colors the child could name, y.The least squares regression line of this data set is:y = 0.213x - 4.937 Complete the following sentence: If a child were one month older, the least squares regression line predicts that he or she would be able to name ____ additional colors.

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Read the following description of a data set. Researchers at a cognitive psychology lab are studying how children develop their color vocabulary. In a recent study, the researchers showed children of various ages different colored objects and asked them to name the colors.They recorded each child's age (in months), x, and the number of colors the child could name, y.The least squares regression line of this data set is:y = 0.213x - 4.937  Complete the following sentence: If a child were one month older, the least squares regression line predicts that he or she would be able to name ____ additional colors.

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Identify Slope: Identify the slope of the regression line. The slope of the regression line is the coefficient of x in the equation y = 0.213x - 4.937. The slope represents the change in the dependent variable (y, the number of colors a child can name) for each one-unit increase in the independent variable (x, the child's age in months).Interpret Slope: Interpret the slope. The slope of 0.213 means that for each additional month of age, the regression line predicts an increase of 0.213 in the number of colors a child can name.Answer Question: Answer the question based on the slope. Since the slope is 0.213, if a child were one month older, the least squares regression line predicts that he or she would be able to name 0.213 additional colors.

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