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:
Singapore has an area of 278.6 mi² with a population of 5.612 million. it is located on the southern tip of the Malay Peninsula in Southeast Asia.
It means that the size constancy is an ability to correctly perceive the sizes of objects despite the changes in retinal-image size created by changes in viewing distance. The physical properties of an object may not change, but the human perceptual system contains processes that adapt to the input in an effort to deal with the outside environment.
One kind of visual subjective constancy is size constancy. People's perception of a specific object's size will remain constant within a set range, independent of changes in distance or the size of the video on the retina. The magnitude of the perceptual qualities still affects how an image is seen. As the distance between the object and the observer increases, optical principles predict that for the same item, the size of the image on the retina will change.
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