please answer the whole question
x | 8.2 | 9.2 | 10.2 | 8.0 | 8.3 | 8.7 |
y | 9.9 | 18.2 | 21.0 | 10.2 | 11.4 | 13.1 |
x | = | |
y | = | |
= | + x |
r^{2} = | |
explained | % |
unexplained | % |
(a) Least square regression line:
The least squares regression line can be obtained using EXCEL. Enter the values of x and y in two columns, say in columns A and B in an EXCEL sheet, with the first cell containing the data labels, x and y. Then, follow the procedure given below:
The output is as follows:
Now, b is the slope of the regression line, which is approximately 5.44 and, a is the “Intercept”, which is approximately -33.756 (rounded to three decimal places).
Therefore, the equation of the least-squares line is y = -33.756 +5.44 x.
(b) The value of coefficient of determination:
From the EXCEL output in Part (a), the value of coefficient of determination is R-square is 0.948. That is, 94.8% of the va...
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