The Iowa Tests of Educational Development Are Given Each Year

question 22

Essay

The Iowa Tests of Educational Development are given each year to students around the country. Let x = the previous year's math scores and y = the current year's math scores for a sample of current sophomores who took the test both years.
b
= estimated slope of the regression line = 0.9
a
= estimated y intercept of the regression line = 35.0
​
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 a 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 math score that is associated with a 10-point difference in the previous year's math score?
e)The value of r² is 0.74; interpret r² in the context of this problem.
f)The value of s_e is 20.5. Interpret s_e in the context of this problem.

---

Definitions:

Property, Plant, and Equipment

Long-term assets vital to business operations and not easily converted into cash, encompassing real estate, factories, machinery, and more.

Buildings

Assets classified in accounting as long-term or fixed assets, representing structures owned by a company for business use.

Return On Assets

A profitability ratio that measures how efficiently a company uses its assets to generate profit, calculated as net income divided by total assets.

Asset Turnover

A ratio that measures the efficiency of a company's use of its assets in generating sales revenue.