ILL BRAINLIEST YOU IF YOUR RIGHT PLEASE HELP ME

Mathematics

1 answer:

dem82 [27]2 years ago

3 0

B........................

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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.

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