SOLUTION: ) Raw material used in the production of synthetic fiber is stored in a place which has no humidity control. Measurements of the relative humidity in the storage place and th

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Question 1162127: ) Raw material used in the production of synthetic fiber is stored in a place which has no humidity control. Measurements of the relative humidity in the storage place and the moisture content of a sample of the raw material (both in percentages) on 12 days yielded the following results: (10)
Humidity x 42 C5 50 4C 48 62 C1 C6 44 C9 55 48
Moixture content y
12
8
14
9
11
16
7
9
12
10
1C
11
(i) Make a scatter plot to verify that it is reasonable to assume that the regression of y on x is linear
(ii) Fit a straight line by the method of least squares,
(iii) Estimate the moisture content when humidity is 45%.
(iv) Determine the correlation coefficient.


Found 2 solutions by Edwin McCravy, ikleyn:
Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!
You can do all this with a TI-83 or 84.

Press the keys STAT 1 to put the x-values in L1,
and the corresponding y-values in L2

Press STAT then press the right arrow key to highlight CALC.

To get a scatter plot press 2ND Y=  highlight ON choose the icon that
looks like a scatter plot

To get the straight line press STAT then press the right arrow key to highlight CALC.  Choose LinReg(ax+b)

Substitute the values for a and b in y=ax+b for the

The value after " r= " is the correlation coefficient.

Substitute 0.45 in the equation.

Edwin
Answer by ikleyn(52805)   (Show Source): You can put this solution on YOUR website!
.

I am very sorry . . .

I am looking in your post, and I do not understand this letter "C", which arises at some numbers.

It arises at some "selected" numbers and disappears at other numbers.

For me, it is some UNFAMILIAR method to represent data.


What does it really mean     ?     ?     ???


Could you clarify, please ?



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