Respuesta :
The value that the linear equation predicts for the year 2001 is 4652.15
The discrepancy between the actual and anticipated value is 2173.85
Given data;
Here, we present the dataset from the United Nations, which contains information on the number of kilowatt-hours of wind energy generated globally. The data set provides statistics on the US for 25 years, from 1990 to 2014, in millions of kilowatt-hours.
The linear equation for the first 11 years of data, from 1990 to 2000, must be determined.
To determine how much the actual value and anticipated value for the year 2001 differ in Quantity, we must first forecast the value for the year 2001 using our fitted equation with y-intercept.
It will be written as y = m(x) + c.
where,
The dependent variable is y. (in our example is quantity)
The independent variable is x. (in our example is the year)
'm' is equal to the slope of the variable X.
'C' is a constant.
The fitted equation is provided as follows:
Quantity = 186.87 (year) - 369274.72
Now that the value for the year 2001 has been provided,
Quantity = -1868.87 -369274.72
Quantity = 4652.15
The value that the linear equation predicts for the year 2001 is 4652.15.
The precise figure for 2001 is 6806.
For the year 2001, the discrepancy between the actual and anticipated values is
6806 - 4652.15 = 2173.85
The distinction is 2173.85.
(2173.85/6806)*100 is the percentage difference.
As a result, the difference between the actual value and the forecasted value for the year 2001 is 31.94%.
Hence,
The value that the linear equation predicts for the year 2001 is 4652.15
The discrepancy between the actual and anticipated value is 2173.85
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