Question

in a statistics class, a teacher had the students complete an activity in which they grabbed as many bite - sized pretzels as they could with their dominant hand, without crushing them. the teacher then measured their handspan in centimeters. the computer output displays the regression analysis.
predictor\tcoef\tse coef\tt - ratio\tp
constant\t- 14.71\t4.317\t1.689\t0.046
handspan\t1.585\t0.310\t5.114\t0.000
s = 3.05\tr - sq = 52.18\tr - sq(adj) = 54.74
using the computer output, what is the value of (r^{2})?
3.05
1.585
0.521
0.547

Explanation:

Step1: Identify $R^2$ in output

In regression output, $R-Sq$ equals $r^2$. The output shows $R-Sq = 52.1\%$.

Step2: Convert percentage to decimal

$r^2 = \frac{52.1}{100}$

Answer:

0.521