The heights (in cm) and arm spans (in cm) of 31 students were measured. The association between (height) and (arm span) is shown in the scatterplot below. The equation of the line of best fit modeling this relationship is given: LaTeX: y=4.5+0.977xy = 4.5 + 0.977 x scatterQ1 Mike is 172 cm tall and George is 165 cm tall. Using the model, how many centimeters longer would we expect Mike's arm span to be than George's? Round your answer to the thousandths place.
Answers
Given : The heights (in cm) and arm spans (in cm) of 31 students were measured. The equation of the line of best fit modeling this relationship is given: y = 4.5 + 0.977x
To find : if Mike is 172 cm tall and George is 165 cm tall. how many centimeters longer would we expect Mike's arm span to be than George's
Solution:
The equation of the line of best fit modeling this relationship is given:
y = 4.5 + 0.977x
x = height in cm
y = arm span in cm
Mike is 172 cm tall
hence mike arm span = 4.5 + 0.977 (172)
George is 165 tall
hence George arm span = 4.5 + 0.977 (165)
Mike arm span longer than George arm span
= mike arm span - George arm span
= 4.5 + 0.977 (172) - ( 4.5 + 0.977 (165))
= 0.977 ( 172 - 165)
= 0.977 (7)
= 6.839 cm
Mike arm span 6.839 cm longer than George arm span
Learn More:
Which two points should the line of best fit go through to best ...
https://brainly.in/question/16164800
Payton collected data to show the relationship between the number ...
https://brainly.in/question/16174097