Illustration of Understands and interprets descriptive statistics in the ICLE's Rigor and Relevance Framework
Quadrant C

Given a set of paired data (X,Y), discuss the strength of association between X and Y and whether X is a useful predictor of Y. Explain your reasoning using graphs, regression, and correlation. (See data below.)

Quadrant D

Find the size (in hundreds of sq. ft.) and selling price (in thousands of dollars) of 10 homes within 1 mile of your own home. Discuss whether size is useful as a predictor of price in your area. Then discuss whether size is useful as a predictor of price in the Des Moines area, using the data below, where X = size (in hundreds of sq. ft.) of a home sold in Des Moines last spring and Y = selling price (in thousands of dollars).
Explain your reasoning using graphs, regression, and correlation. Compare the cost trends of your neighborhood and the Des Moines area.
Knowing the size of your own home, what is the estimated value of your home using both models?

Quadrant A

Given a set of paired data (X,Y), draw a scatterplot and discuss whether X is useful as a predictor of Y. Explain your reasoning. (See data below.)

Quadrant B

Given a set of paired data (X,Y), where
X = size (in hundreds of sq. ft.) of a home sold in Des Moines last spring and
Y = selling price of the home (in thousands of dollars), discuss whether size is useful as a predictor of price in the Des Moines area. Explain your reasoning. (See data below.)

Data for quadrants A, B, C, and D
 X 29 34 23 24 26 45 52 44 33 30
 Y 315 360 240 256 245 390 435 350 340 320