Consider the values for the dependent and independent variables shown to the right. a. Develop a scatter plot of the data. Does the plot suggest a linear or nonlinear relationship between the dependent and independent variables? b. Develop an estimated linear regression equation for the data. Is the relationship significant? Test at an α = 0.05 level. c. Develop a regression equation of the form y = b + b₁x + b₂x². Does this equation provide a better fit to the data than that found in part b? X y 5 10 15 13 40 25 50 44 60 78 80 113

1) Which is relatively better: a score of 88 on a Psychology test or a score of 45 on an Economics test? Scores on the Psychology test have a mean of 92 and a standard deviation of 10. Scores on the Economics test have a mean of 57 and a standard deviation of 5. Use measures of relative position to answer this exercise (Z-score).

Does the data need to be normally distributed for a t-test to work?

One tree in the study had a weight that exceeded its expected weight (according to the best fit curve) by more than that of any other tree. By how many tons did the trees actual weight exceed the expected weight for its height?

Assume that a high school principal believes that high number of absences hinders the students' ability to perform on standardized tests. He randomly selects a sample of 9 students who had 5 or more absences in the school year. The average ACT Composite score for this sample is X = 19 with s = 4.9. ACT Composite scores are normally distributed with u = 21.0. Do the data support the claim that the high number of absences hinders the students' ability to perform on standardized tests, using a = .05? Please show the four-step hypothesis test. %3D

Can P-value be used to make a decision for the F-test? What is the decision rule?

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