GROWTH function
Summary
Returns values along an exponential trend
Syntax
GROWTH(known_y's, [known_x's], [new_x's], [const])
The GROWTH function syntax has the following arguments:
• Known_y's Required. The set of y-values you already know in the relationship y = b*m^x. If the array known_y's is in a single column, then each column of known_x's is interpreted as a separate variable. If the array known_y's is in a single row, then each row of known_x's is interpreted as a separate variable. If any of the numbers in known_y's is 0 or negative, GROWTH returns the #NUM! error value.
• If the array known_y's is in a single column, then each column of known_x's is interpreted as a separate variable.
• If the array known_y's is in a single row, then each row of known_x's is interpreted as a separate variable.
• If any of the numbers in known_y's is 0 or negative, GROWTH returns the #NUM! error value.
• Known_x's Optional. An optional set of x-values that you may already know in the relationship y = b*m^x. The array known_x's can include one or more sets of variables. If only one variable is used, known_y's and known_x's can be ranges of any shape, as long as they have equal dimensions. If more than one variable is used, known_y's must be a vector (that is, a range with a height of one row or a width of one column). If known_x's is omitted, it is assumed to be the array {1,2,3,...} that is the same size as known_y's.
• The array known_x's can include one or more sets of variables. If only one variable is used, known_y's and known_x's can be ranges of any shape, as long as they have equal dimensions. If more than one variable is used, known_y's must be a vector (that is, a range with a height of one row or a width of one column).
• If known_x's is omitted, it is assumed to be the array {1,2,3,...} that is the same size as known_y's.
• New_x's Optional. Are new x-values for which you want GROWTH to return corresponding y-values. New_x's must include a column (or row) for each independent variable, just as known_x's does. So, if known_y's is in a single column, known_x's and new_x's must have the same number of columns. If known_y's is in a single row, known_x's and new_x's must have the same number of rows. If new_x's is omitted, it is assumed to be the same as known_x's. If both known_x's and new_x's are omitted, they are assumed to be the array {1,2,3,...} that is the same size as known_y's.
• New_x's must include a column (or row) for each independent variable, just as known_x's does. So, if known_y's is in a single column, known_x's and new_x's must have the same number of columns. If known_y's is in a single row, known_x's and new_x's must have the same number of rows.
• If new_x's is omitted, it is assumed to be the same as known_x's.
• If both known_x's and new_x's are omitted, they are assumed to be the array {1,2,3,...} that is the same size as known_y's.
• Const Optional. A logical value specifying whether to force the constant b to equal 1. If const is TRUE or omitted, b is calculated normally. If const is FALSE, b is set equal to 1 and the m-values are adjusted so that y = m^x.
• If const is TRUE or omitted, b is calculated normally.
• If const is FALSE, b is set equal to 1 and the m-values are adjusted so that y = m^x.
• Known_y's Required. The set of y-values you already know in the relationship y = b*m^x. If the array known_y's is in a single column, then each column of known_x's is interpreted as a separate variable. If the array known_y's is in a single row, then each row of known_x's is interpreted as a separate variable. If any of the numbers in known_y's is 0 or negative, GROWTH returns the #NUM! error value.
• If the array known_y's is in a single column, then each column of known_x's is interpreted as a separate variable.
• If the array known_y's is in a single row, then each row of known_x's is interpreted as a separate variable.
• If any of the numbers in known_y's is 0 or negative, GROWTH returns the #NUM! error value.
• Known_x's Optional. An optional set of x-values that you may already know in the relationship y = b*m^x. The array known_x's can include one or more sets of variables. If only one variable is used, known_y's and known_x's can be ranges of any shape, as long as they have equal dimensions. If more than one variable is used, known_y's must be a vector (that is, a range with a height of one row or a width of one column). If known_x's is omitted, it is assumed to be the array {1,2,3,...} that is the same size as known_y's.
• The array known_x's can include one or more sets of variables. If only one variable is used, known_y's and known_x's can be ranges of any shape, as long as they have equal dimensions. If more than one variable is used, known_y's must be a vector (that is, a range with a height of one row or a width of one column).
• If known_x's is omitted, it is assumed to be the array {1,2,3,...} that is the same size as known_y's.
• New_x's Optional. Are new x-values for which you want GROWTH to return corresponding y-values. New_x's must include a column (or row) for each independent variable, just as known_x's does. So, if known_y's is in a single column, known_x's and new_x's must have the same number of columns. If known_y's is in a single row, known_x's and new_x's must have the same number of rows. If new_x's is omitted, it is assumed to be the same as known_x's. If both known_x's and new_x's are omitted, they are assumed to be the array {1,2,3,...} that is the same size as known_y's.
• New_x's must include a column (or row) for each independent variable, just as known_x's does. So, if known_y's is in a single column, known_x's and new_x's must have the same number of columns. If known_y's is in a single row, known_x's and new_x's must have the same number of rows.
• If new_x's is omitted, it is assumed to be the same as known_x's.
• If both known_x's and new_x's are omitted, they are assumed to be the array {1,2,3,...} that is the same size as known_y's.
• Const Optional. A logical value specifying whether to force the constant b to equal 1. If const is TRUE or omitted, b is calculated normally. If const is FALSE, b is set equal to 1 and the m-values are adjusted so that y = m^x.
• If const is TRUE or omitted, b is calculated normally.
• If const is FALSE, b is set equal to 1 and the m-values are adjusted so that y = m^x.
Example
=GROWTH(B2:B7,A2:A7)
=GROWTH(B2:B7,A2:A7,A9:A10)
=GROWTH(B2:B7,A2:A7,A9:A10)