Question

Darius is studying the relationship between mathematics and art. He asks friends to each draw a "typical” rectangle. He measures the length and width in centimeters of each rectangle and plots the points on a graph, where x represents the width and y represents the length. The points representing the rectangles are (6.1, 12.0), (5.0, 8.1), (9.1, 15.2), (6.5, 10.2), (7.4, 11.3), and (10.9, 17.5). Which equation could Darius use to determine the length, in centimeters, of a "typical” rectangle for a given width in centimeters?
A. y = 0.605x + 0.004
B. y = 0.959x + 0.041
C. y = 1.518x + 0.995

Answer 1

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The equation could Darius use to determine the length, in centimeters, of a "typical” rectangle for a given width in centimeters is y=1.518x+0.995

Answer 2

Answer:

Option A

Step-by-step explanation:

Given that Darius is studying  the relationship between mathematics and art. He asks friends to each draw a "typical” rectangle. x the length, y the width are known.

x y

6.1 12

5 8.1

9.1 15.2

6.5 10.2

7.4 11.3

10.9 17.5

 

slope 0.605311851

Intercept 0.004221583

Hence regression equation would be

y = 0.605x +0.004

Option A is the right answer