Question

The scatterplot displays the number of pretzels students could grab with their dominant hand and their handspan, measured in centimeters. An analysis was completed, and the computer output is shown:

Predictor Coef SE Coef T-Ratio P
Constant \quad \quad -14.71 \quad \quad 4.31 \quad \quad 1.69 \quad \quad 0.046
Handspan \quad \quad 1.585 \quad \quad 0.310 \quad \quad 5.114 \quad \quad 0.000

s = 3.05, R² = 52.1%, R²ₐⱼ = 51.7%

Using the computer output, what is the correlation coefficient?

a) 0.521

b) 0.547

c) 0.722

d) 0.740

Answer 1

The correlation coefficient is 0.521.

Step-by-step explanation:

The correlation coefficient can be determined from the computer output provided. In this case, the correlation coefficient is represented by the value of R², which is 52.1%.

The correlation coefficient measures the strength and direction of the relationship between two variables. A correlation coefficient value of 0.521 indicates a moderate positive relationship between the number of pretzels students can grab with their dominant hand and their handspan.

Therefore, the correct answer is a) 0.521.