The Iowa Tests of Educational Development are given each year to students around the country. Let x = the previous year's science scores and y = the current year's science scores for a sample of current sophomores who took the test both years. b = estimated slope of the regression line = 0.93 a = estimated y intercept of the regression line = 30.36
a) What is the equation of the estimated regression line?
b) On the graph below, sketch the estimated regression line using the information above. Be sure to label and scale your axes correctly. 
c) For students with a score of 250 the previous year, what is the predicted score for the current year?
d) What is the average difference in science score that is associated with a 10-point difference in the previous year's science score?
e) The value of r2 is 0.71; interpret r2 in the context of this problem.
f) The value of se is 25.5. Interpret se in the context of this problem.
Definitions:
Normal Model
A statistical model that assumes data follow a bell-shaped normal distribution, often used in probability and statistics.
Standard Deviation
A measure indicating the amount of variation or dispersion of a set of values from the mean, reflecting how spread out these values are.
University Program
An organized course of study or specialization offered at a university.
Random Order
A sequence of items, events, or numbers arranged without any predictable pattern or plan.
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