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billy1123
billy1123
19.05.2021 • 
Mathematics

Dmitri wants to look at the relationship between room temperature and the etching rate each time he has etched a circuit board with cupric chloride. The data show a linear pattern with the summary statistics shown below: meanstandard deviation
x
=
x=x, equals room temperature (degrees Celsius)
x
ˉ
=
20.9
x
ˉ
=20.9x, with, \bar, on top, equals, 20, point, 9
s
x
=
3
s
x
​
=3s, start subscript, x, end subscript, equals, 3
y
=
y=y, equals etching rate (micrometers per minute)
y
ˉ
=
6.6
y
ˉ
​
=6.6y, with, \bar, on top, equals, 6, point, 6
s
y
=
0.7
s
y
​
=0.7s, start subscript, y, end subscript, equals, 0, point, 7
r
=
0.99
r=0.99r, equals, 0, point, 99
Find the equation of the least-squares regression line for predicting the etching rate from the room temperature.
Round your entries to the nearest hundredth.
y
^
=
y
^
​
=y, with, hat, on top, equals
​
+
+plus
x

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