Information Use the following scenario for question: In a study of the legibilit
ID: 3066607 • Letter: I
Question
Information
Use the following scenario for question:
In a study of the legibility and visibility of highway signs, a Pennsylvania research firm determined the maximum distance (in feet) at which each of 30 drivers could read a newly designed sign. The 30 participants were volunteers and ranged in age from 18 to 82 years old. The government agency that funded the research hoped to improve highway safety for older drivers and wanted to examine the relationship between age and the sign legibility distance. A scatterplot of the data is shown below. The sample correlation coefficient is r=0.801{"version":"1.1","math":"r=-0.801"} and the least-squares regression line is
y =576.683.01x{"version":"1.1","math":"hat{y} = 576.68 - 3.01x"}
Information
Driver age (years) and the maximum distance at which a highway sign was read (feet) for a volunteer sample of 30 drivers.
Explanation / Answer
observational units:
age
maximum distance
solution2:
age is explanatory variable
distance is response variable
Solution3:
from scatterlplot we observe
unusual observations-not present
direction:positive
form :linear
strength:positive
Solution4:
r2=r*r=-0.801*-0.801
=0.641601*100
=64.2%
answer 64.2 units%