COE 502 Assignment #4

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Assignment 4

  1. The figure below contains data for a small number of persons and a scatter plot for those data.

    a) What is the name of the person whose data are indicated by the arrow?

    b) Which two variables are plotted in the above scatter plot?

  2. The following scatter plot was constructed from which two variables in the AZELEM data set:
    "Composite Achiev. ITBS & TAP" versus "Parents Some College,"
    "Composite Achiev. ITBS & TAP" versus "Percent Students on Free & Reduced Lunch,"
    or "Maintenance & Operation per ADM" versus "Total Expend per ADM"?

  3. Calculate and report the following correlation coefficients:
    a) "Composite Achiev. ITBS & TAP" and "Parents Some College"

    b) "Composite Achiev. ITBS & TAP" and "Percent Students on Free & Reduced Lunch"

    c)"Maintenance & Operation per ADM" and "Total Expend per ADM"

  4. Why is the correlation between "Maintenance & Operation per ADM" and "Total Expend per ADM" so high?

  5. Calculate the correlation between "Poverty" and "Percent Limited English Proficient."

    a) The value of r is .

    b) Some persons have argued that this correlation shows that a lack of English language proficiency leads to unemployment and poverty. They then go on to argue that insisting on English proficiency by teaching school only in English and using only English in all official state business (such as elections, applying for benefits and the like) would lead to greater proficiency and, consequently, less poverty. Comment on this position in less than 200 words. Is a causal argument being made? If so, does it suffer from potential fallacies?

  6. Using the GRE-V and MAT datafile, calculate the regression equation for predicting GRE-V from MAT.

    a)The value of the slope of the regression line is .

    b) The value of the intercept of the regression line is .

    c) A particular graduate program uses the GRE-V score in its admissions decisions. A score of 550 is required for unconditional admission. Not all applicants present GRE-V scores. Some submit Miller Analogies Test scores. An applicant submits an MAT score of 49. What is this applicant's predicted GRE-V score and does it meet the admissions standard?

  7. Refer to the regression example in Lesson 4 in which the influence of teachers' September class average achievement scores is removed from their June class averages. The regression residual is then taken as a measure of the teacher's contribution to the class's learning.

    a) Which teacher made the greatest contribution to the class's learning? Enter that teacher's identification letter here: .

    b) Which teacher made the least contribution to the class's learning? Enter that teacher's identification letter here: .

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