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.
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
