C would equal -3 because you are going up 9 units
10. 6.8 this is the nearest tenth
13. 3.7 this is the nearest tenth
16. 6.7 this is the nearest tenth
Answer:
1.4
Step-by-step explanation:
This is because the 4 is in the hundreds place but the 0 is in the hundreds in the second one.
(Decimals are backwards from whole numbers.)
Answer:
,
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](https://tex.z-dn.net/?f=%5Chat%20%7By%7D%3D920.10)
Step-by-step explanation:
We attached a table below,
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 } }](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B%5Cfrac%7B1%7D%7B18%7D%2821766.7%29-%28%5Cfrac%7B27.25%7D%7B18%7D%20%29%28%5Cfrac%7B13890%7D%7B18%7D%20%29%20%7D%7B%5Csqrt%7B%5Cfrac%7B1%7D%7B18%7D%20%2859.8435%29-%28%5Cfrac%7B27.25%7D%7B18%7D%20%29%5E2%7D%5Csqrt%7B%5Cfrac%7B1%7D%7B18%7D%2810767400%29-%28%5Cfrac%7B13890%7D%7B18%7D%20%29%5E2%20%7D%20%20%7D)
![=\frac{41.04}{53.19}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B41.04%7D%7B53.19%7D)
![=0.77](https://tex.z-dn.net/?f=%3D0.77)
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](https://tex.z-dn.net/?f=b_1%3Dr%28%5Cfrac%7B%5Csigma_y%7D%7B%5Csigma_x%7D%20%29%5C%5C%20%20%20%20%20%20%3D%280.77%29%28%5Cfrac%7B%5Csqrt%7B%5Cfrac%7B1%7D%7B18%7D%20%2810767400%29-%28%5Cfrac%7B13890%7D%7B18%7D%20%29%5E2%7D%20%7D%7B%5Csqrt%7B%5Cfrac%7B1%7D%7B18%7D%2859.8435%29-%28%5Cfrac%7B27.25%7D%7B18%7D%20%29%5E2%20%7D%20%7D%20%29%5C%5C%20%20%20%20%20%20%3D0.77%28%5Cfrac%7B52.15%7D%7B1.02%7D%20%29%5C%5C%20%20%20%20%20%20%3D0.77%2851.13%29%5C%5C%20%20%20%20%20%20%3D39.37)
Now , calculate intercept coefficient.
![b_0=\bar{y}-r\bar{x}\\](https://tex.z-dn.net/?f=b_0%3D%5Cbar%7By%7D-r%5Cbar%7Bx%7D%5C%5C)
![=(\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](https://tex.z-dn.net/?f=%3D%28%5Cfrac%7B%5Csum%7By%7D%7D%7Bn%7D%20%29-0.77%28%5Cfrac%7B%5Csum%7Bx%7D%7D%7Bn%7D%20%29%5C%5C%3D%28%5Cfrac%7B13890%7D%7B18%7D%20%29-0.77%28%5Cfrac%7B27.25%7D%7B18%7D%20%29%5C%5C%3D771.67-1.17%5C%5C%3D770.50)
Therefore, the regression equation is, ![\hat{y}=770.50+39.37x](https://tex.z-dn.net/?f=%5Chat%7By%7D%3D770.50%2B39.37x)
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](https://tex.z-dn.net/?f=%5Chat%7By%7D%3D770.50%2B39.37x)
![=770.50+39.37(1.9)\\=770.50+74.80\\=920.10](https://tex.z-dn.net/?f=%3D770.50%2B39.37%281.9%29%5C%5C%3D770.50%2B74.80%5C%5C%3D920.10)