Question

a certain standardized test measures students knowledge in english and math. the english and math scores for 10 randomly selected students are given in the table. using technology, what is the correlation coefficient? 0.68 0.83 0.91 0.95

Explanation:

Step1: Input data into technology

Input the English scores (\(x\)): \(450,470,510,520,540,570,590,620,670,680\) and math scores (\(y\)): \(490,480,500,580,550,540,610,590,620,650\) into a statistical software or calculator (e.g., TI - 84 Plus: STAT → EDIT to enter data in L1 (\(x\)) and L2 (\(y\))).

Step2: Calculate correlation coefficient

Use the correlation coefficient function (e.g., on TI - 84 Plus: STAT → CALC → LinReg(ax + b) and then look for \(r\)). The correlation coefficient \(r\approx0.91\)

Answer:

0.91