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Lena [83]
3 years ago
10

I need a A in math can you help me with this answer

Mathematics
1 answer:
loris [4]3 years ago
6 0

Answer: 13

Step-by-step explanation:

12^2+5^2=13^2

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The accompanying data on x= head circumference z score (a comparison score with peers of the same age - a positive score suggest
djverab [1.8K]

Answer:

r=0.77, \hat{y}=770.50+39.37x and volume of cerebral brey matter for a child whose head circumference Z score at age 12 months was 1.9 is  \hat {y}=920.10

Step-by-step explanation:

We attached a table below,

(a)  We attached a table below,

Therefore ,

correlation coefficient  r=\frac{\frac{1}{18}(21766.7)-(\frac{27.25}{18} )(\frac{13890}{18} ) }{\sqrt{\frac{1}{18} (59.8435)-(\frac{27.25}{18} )^2}\sqrt{\frac{1}{18}(10767400)-(\frac{13890}{18} )^2 }  }

                                         =\frac{41.04}{53.19}

                                         =0.77

(b)    We calculate the least squares equation.

      b_1=r(\frac{\sigma_y}{\sigma_x} )\\      =(0.77)(\frac{\sqrt{\frac{1}{18} (10767400)-(\frac{13890}{18} )^2} }{\sqrt{\frac{1}{18}(59.8435)-(\frac{27.25}{18} )^2 } } )\\      =0.77(\frac{52.15}{1.02} )\\      =0.77(51.13)\\      =39.37

Now , calculate intercept coefficient.

b_0=\bar{y}-r\bar{x}\\

    =(\frac{\sum{y}}{n} )-0.77(\frac{\sum{x}}{n} )\\=(\frac{13890}{18} )-0.77(\frac{27.25}{18} )\\=771.67-1.17\\=770.50

Therefore, the regression equation is, \hat{y}=770.50+39.37x

(c)    Find the volume of cerebral brey matter for a child whose head circumference Z score at age 12 months was 1.8

\hat{y}=770.50+39.37x

   =770.50+39.37(1.9)\\=770.50+74.80\\=920.10

5 0
3 years ago
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