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
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=-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:
Why is it important to fulfill our duty?
Happiness. It's counterintuitive, but happiness is sustained only by fulfilling our obligations; doing our duty. The most miserable families are the ones where parents fail to teach their children to obey & behave. No one is happy. The children are unsocialized and they always will be. They are miserable all their lives too and so are all the people their lives touch. The parents are tyrannized by the child. Parents have a duty to teach their children how to obey, how to follow the rules.
Contempt, instead of love, describes how undutiful children feel towards their parents. Resentment, sometimes downright hatred, describes how the parents feel about their children who lord it over them. In toxic families everyone craves seperation from one another and simultaneously, the proper respect and dutiful attention they have never given or received.
Duty to the social subdivisions in the bigger society is never more than a reflection of what we realize in our family upbringing. Generally it is learned at a tender age - or never learned at all.
Albert Schweizer said: “If you would find happiness, you must first seek and find how to serve.”
I think the correct answer would be that it is a result from conditioning. His fear resulted from a traumatic experience wherein his body reacted in a way that it became his fear. The body was conditioned to feel fear when in those situations. Hope this answers the question.
Answer:
Majority Rule
Explanation:
a majority of Congress has to agree or disagree on the law and since Congress is so diverse in their opinions it's kind of hard for them to agree on anything
