PRACTICAL EXERCISE – 7
Fitting of Straight Line and Second-Degree Parabola
1. The
weights of the calf taken at weekly intervals are given below. Fit a straight
line using the method of least squares and calculate the average rate of growth
per week.
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
|
Weight (Y) |
52.5 |
58.7 |
65 |
70.2 |
75.4 |
81.1 |
87.2 |
95.5 |
102.2 |
108.4 |
2. Fit a straight line to the
following data
x |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
y |
55 |
46 |
40 |
38 |
33 |
30 |
29 |
30 |
3. Fit a parabola of second
degree to the following data.
x |
0 |
1 |
2 |
3 |
4 |
y |
1 |
1.8 |
1.3 |
2.5 |
6.3 |
4. Fit a second-degree curve
to the following data relating to profit of certain company. Estimate the
profit in the year 1995.
Year |
1980 |
1982 |
1984 |
1986 |
1988 |
Profit ( In Rs. Lakhs) |
125 |
140 |
165 |
195 |
230 |
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