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levacccp [35]
3 years ago
14

Battery life has a strong, negative, linear relationship with temperature. If the least-squares regression line using xx = tempe

rature explains 90% of the variation in battery life, which of the following must be the correlation, rr, between battery life and temperature?
Mathematics
1 answer:
nevsk [136]3 years ago
8 0

Answer: -0.95

Step-by-step explanation:

The value that explains the least-squares regression line is 90% or 0.9, and is also r^2.

You would just square root r^2 and get r=0.948. since the relationship is negative, r= -0.948, or -0.95

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Step-by-step explanation:

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2

=

(

18

√

8

−

8

√

18

)

2

Simplify  

(

n

1

2

)

2

.  

Multiply the exponents in  

(

n

1

2

)

2

.  

Apply the power rule and multiply exponents,  

(

a

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a

m

n

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n

1

2

⋅

2

=

(

18

√

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√

18

)

2

Cancel the common factor of  2  

Cancel the common factor.

n

1

2

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18

√

8

−

8

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18

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2

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n

1

=

(

18

√

8

−

8

√

18

)

2

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18

√

8

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8

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2

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(

18

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√

18

)

2

Simplify each term.

Rewrite  

8  as  2

2

⋅

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n

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18

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(

2

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−

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2

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n

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(

18

(

2

√

2

)

−

8

√

18

)

2

Multiply  

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n

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(

36

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√

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2

Rewrite  

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3

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9

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n

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√

9

(

2

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)

2

Rewrite  

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3

2

⋅

2

)

2

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36

√

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2

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2

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n

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144

(

2

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2

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Cancel the common factor.

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2

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