Answer:
1. Co-variance= -1.2
2. correlation coefficient= -0.4404
3. There is weak negative relationship between x and y.
Explanation:
1.
Co-variance= Cov(x,y)= sum[(x-xbar)(y-ybar)]/n
xbar=sumx/n=32/5=6.4
ybar=sumy/n=35/5=7
x 7 8 5 3 9
x-xbar 0.6 1.6 -1.4 -3.4 2.6
y 7 5 9 7 7
y-ybar 0 -2 2 0 0
(x-xbar)(y-ybar) 0 -3.2 -2.8 0 0
Cov(x,y)= sum[(x-xbar)(y-ybar)]/n=-6/5=-1.2
Cov(x,y)=-1.2
2.
correlation coefficient=r
![r=\frac{sum(x-xbar)(y-ybar)}{\sqrt{sum(x-xbar)^2sum(y-ybar)^2} }](https://tex.z-dn.net/?f=r%3D%5Cfrac%7Bsum%28x-xbar%29%28y-ybar%29%7D%7B%5Csqrt%7Bsum%28x-xbar%29%5E2sum%28y-ybar%29%5E2%7D%20%7D)
x 7 8 5 3 9
x-xbar 0.6 1.6 -1.4 -3.4 2.6
y 7 5 9 7 7
y-ybar 0 -2 2 0 0
(x-xbar)(y-ybar) 0 -3.2 -2.8 0 0
(x-xbar)² 0.36 2.56 1.96 11.56 6.76
(y-ybar)² 0 4 4 0 0
![r=\frac{-6}{\sqrt{23.2(8)} }](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B-6%7D%7B%5Csqrt%7B23.2%288%29%7D%20%7D)
r=-0.4404
3. Since the value of correlation coefficient is negative and less than 0.5 , so, we can say that there is weak negative relationship between x and y.
Answer:
2/3
Explanation:
The vote to convict a guilty official is more commonly known as the impeachment process. Impeachment can be done if the officials are proven to leverage their status to be involved in Treason, Bribery, or other high Crimes and Misdemeanors.
The impeachment is started by the House of Representative, but the Senates were the one that made the vote for the convict. The senates all 50 states in USA. The officials will be impeached if 67 out of 100 senates voted for it.
Answer: A. Stage four
Explanation: When it comes to sensorimotor development, that is, cognitive development of infants, scientist Piaget has suggested that there are six sub-stages. What Adriana did is talk about the sensorimotor abilities of infants from 8 to 12 months of age. It is a stage in which the infant can, in addition to mimicking certain reactions and movements, coordinate movements and reactions in order to achieve a specific goal. So it begins to be oriented toward a specific goal, not only repeating the movements seen, but coordinating and taking the initiative to reach the desired goal.
The answer is "Avoiding relational stage".
When we move toward the avoiding stage, it might be an approach to end the ponderousness that accompanies stagnation, as individuals flag that they need to shut down the lines of communication. Communication in this stage can be direct or very indirect.