Manuals/calci/FORECAST
FORECAST(n,y,x)
- is the data point .
- Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle y} is the dependent array of data.
- Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle x} is the independent array of data.
Description
- This function gives the predicted value of the dependent variable for the specific value, x, of the independent variable by using a least squares linear regression to predict y values from x values.
- In Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle FORECAST(n,y,x), n} is the data point to predict a value. Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle y} is the dependent array of data to predict the Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle y} -value and Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle x} is the independent array of data to predict the Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle y} -value.
- The formula for Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle FORECAST} is Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle a+bx}
- where Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle a=\bar{y}-b \bar{x}} and Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle b=\frac{\sum (x-\bar{x})(y-\bar{y})}{\sum(x-\bar{x})^2}} .
- Here Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \bar{x}} and Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \bar{y}} are the sample means of x and y.
- This function will give the result as error when
1. Any one of the value is nonnumeric. 2. The values of x and y are empty or contain a different number of data points. 3. The variance of x is zero.
Examples
- y={5,9,11,18,32,4}
x={ FORECAST(26,B1:B6,C1:C6)=13.16666667
- y={}
x={-42,34,-13,25} FORECAST(18,C5:C8,D5:D8)=2.119541779
- y={51,14,0,60}
x={46,-1,29,18} FORECAST(24,D1:D4,E1:E4)=31.71054889
- y={2,5,9,17}
x={4,14,28} FORECAST(10,B1:B4,C1:C3)=NAN.
| A | B | C | D | E | |
|---|---|---|---|---|---|
| 1 | 5 | 30 | -28 | -42 | 46 |
| 2 | 9 | 32 | -18 | 34 | -1 |
| 3 | 11 | 15 | 35 | -13 | 29 |
| 4 | 18 | 28 | 12 | 25 | 18 |
| 5 | 32 | 41 | |||
| 6 | 4 | 10 |
=FORECAST(25,A1:B2,C1:D2) = 16.41772152
See Also