Question
1. The following sample contains values of the price and quantity sold of a particular commodity. Use quantity sold as the dependent variable Y .
1. The following sample contains values of the price and quantity sold of a particular commodity. Use quantity sold as the dependent variable Y.
Price (X) | 6.00 | 3.00 | 7.00 | 1.00 | 2.00 | 8.00 |
Quantity sold (Y) | 53 | 67 | 48 | 76 | 70 | 28 |
x=27, y=342, x2=163, xy=1295, y2= 21062, n=6
a) Estimate the regression line and also write the prediction equation.
2. . The following sample contains values of the price and quantity sold of a particular commodity. Use quantity sold as the dependent variable Y.
Price (X) | 6.00 | 3.00 | 7.00 | 1.00 | 2.00 | 8.00 |
Quantity sold (Y) | 53 | 67 | 48 | 76 | 70 | 28 |
x=27, y=342, x2=163, xy=1295, y2= 21062, n=6
b) Predict the number of quantities sold for the commodity whose price is $5.00.
3. The following sample contains values of the price and quantity sold of a particular commodity. Use quantity sold as the dependent variable Y.
Price (X) | 6.00 | 3.00 | 7.00 | 1.00 | 2.00 | 8.00 |
Quantity sold (Y) | 53 | 67 | 48 | 76 | 70 | 28 |
x=27, y=342, x2=163, xy=1295, y2= 21062, n=6
c) Find the sample correlation coefficient r and interpret.
4. The following sample contains values of the price and quantity sold of a particular commodity. Use quantity sold as the dependent variable Y.
Price (X) | 6.00 | 3.00 | 7.00 | 1.00 | 2.00 | 8.00 |
Quantity sold (Y) | 53 | 67 | 48 | 76 | 70 | 28 |
x=27, y=342, x2=163, xy=1295, y2= 21062, n=6
d) Find the coefficient of determination and interpret .
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