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To study performance across multiple classes, the class size (number of students in the classroom) and the average student achievement for that class are recorded.
To study performance across multiple classes, the class size (number of students in the classroom) and the average student achievement for that class are recorded. A scatterplot of LN(Achievement) versus Class Size shows a strong, negative, linear relationship. Output from a regression analysis is shown below. Regression Equation: LN(Achievement) = 5.779 - .025(Class Size) Predictor Coeff SE Coeff T p-value Constant 5.779 .2948 19.60 0.000 Class Size -.025 .0030 -8.33 0.000 S=.4871 R-sq = 84.4%: Based on the information provided above, answer the following. 1) True or False: Large class sizes cause average student achievement to decrease. 2) True or False: Larger values of class size are tend to produce larger values of LN(Achievement). 3) The correlation between class size and LN(Achievement) is (3 decimal places)
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