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An article published in the American Educational Research Journal (Fall 1998) used multiple regression to model the students' perceptions of their ability in science classes.

  1. An article published in the American Educational Research Journal (Fall 1998)used multiple regression to model the students' perceptions of their ability in science classes. The sample consisted of 165 Grade 5-Grade 8 students in six performance-based science classrooms, all of which use hands-on activities as the main teaching tool. The dependent variable of interest, the student's perception of his or her ability (y), was measured on a four-point scale (where 1 = little or no ability and 4 = high ability). Two types of independent variables were included in the model, control variablesand performance behaviour variables. The control variables are prior science aptitude (measured on a 4-point scale), score on standardised science test, gender, and classroom (1, 2, 3, 4, 5, or 6). The performance behaviour variables (all measured on a numerical scale between 0 and 1) are: active-leading behaviour, passive assisting behaviour, and acting-manipulating behaviour.

  1. Identify the independent variables as quantitative or qualitative.

  1. Individual -tests on the independent variables all had p-values greater than .10 except for prior science attitude, gender, and active-leading behaviour. Which variables appear to contribute to the prediction of a student's perception of his or her ability in science?

  1. The estimated -value for the active-leading behaviour variable is .88 with a standard error of .34. Use this information to construct a 95% confidence interval for this . Interpret the interval.

  1. The following statistics for evaluating the overall predictive power of the model were reported: R = .48, F= 12.84, p < .001. Interpret the results.

  1. Hypothesize the equation of the first-order main effects model for E(y).

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