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Microsoft Office Mac 2011 Excel Data Analysis

Enabling the Data Analysis Toolpak in Excel for Mac Microsoft decided to stop making a Data Analysis Toolpak available for Microsoft Office for Mac starting with Office 2008 (released in 2007). Microsoft has reported in its support documentation that Office 2016 for Mac (unreleased at the time of this writing, July 20th, 2015) will once again. Microsoft excel 2011 free download - Microsoft Office 2011, Solver for Excel 2011, Microsoft Excel, and many more programs. This doesn't affect one-time purchases of Office for Mac 2011 such as, Office Home and Student, Office Home and Business, or Office Professional. Note: If you have Office 365 or a one-time purchase of Office 2016 for Mac, see Download and install or reinstall Office 365 or Office 2016 on your PC or Mac.

In regression analysis, the LOGEST function calculates an exponential curve that fits your data and returns an array of values that describes the curve. Because this function returns an array of values, it must be entered as an array formula.

Note: If you have a current version of Office 365, then you can simply enter the formula in the top-left-cell of the output range, then press ENTER to confirm the formula as a dynamic array formula. Otherwise, the formula must be entered as a legacy array formula by first selecting the output range, entering the formula in the top-left-cell of the output range, and then pressing CTRL+SHIFT+ENTER to confirm it. Excel inserts curly brackets at the beginning and end of the formula for you. For more information on array formulas, see Guidelines and examples of array formulas.

Description

The equation for the curve is:

y = b*m^x

or

y = (b*(m1^x1)*(m2^x2)*_)

if there are multiple x-values, where the dependent y-value is a function of the independent x-values. The m-values are bases corresponding to each exponent x-value, and b is a constant value. Note that y, x, and m can be vectors. The array that LOGEST returns is {mn,mn-1,..,m1,b}.

Syntax

LOGEST(known_y's, [known_x's], [const], [stats])

The LOGEST 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.

  • 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 range of cells with a height of one row or a width of one column (which is also known as a vector).

    • 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.

  • 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 fitted to y = m^x.

  • stats Optional. A logical value specifying whether to return additional regression statistics.

    • If stats is TRUE, LOGEST returns the additional regression statistics, so the returned array is {mn,mn-1,..,m1,b;sen,sen-1,..,se1,seb;r 2,sey; F,df;ssreg,ssresid}.

    • If stats is FALSE or omitted, LOGEST returns only the m-coefficients and the constant b.

For more information about additional regression statistics, see the LINEST function.

Remarks

  • The more a plot of your data resembles an exponential curve, the better the calculated line will fit your data. Like LINEST, LOGEST returns an array of values that describes a relationship among the values, but LINEST fits a straight line to your data; LOGEST fits an exponential curve. For more information, see LINEST.

  • When you have only one independent x-variable, you can obtain y-intercept (b) values directly by using the following formula:

    Y-intercept (b):
    INDEX(LOGEST(known_y's,known_x's),2)

    You can use the y = b*m^x equation to predict future values of y, but Microsoft Excel provides the GROWTH function to do this for you. For more information, see GROWTH function.

  • When entering an array constant such as known_x's as an argument, use commas to separate values in the same row and semicolons to separate rows. Separator characters may be different depending on your regional settings.

  • You should note that the y-values predicted by the regression equation may not be valid if they are outside the range of y-values you used to determine the equation.

Example

You must enter the above formula as an array formula in Excel for it to work correctly. After you enter the formula, press Enter if you have a current Office 365 subscription; otherwise press Ctrl+Shift+Enter. If the formula is not entered as an array formula, the single result is 1.4633.

Need more help?

You can always ask an expert in the Excel Tech Community, get support in the Answers community, or suggest a new feature or improvement on Excel User Voice.

This article describes the formula syntax and usage of the TTEST function in Microsoft Excel.

Returns the probability associated with a Student's t-Test. Use TTEST to determine whether two samples are likely to have come from the same two underlying populations that have the same mean.

Microsoft Office Mac 2011 Excel Data Analysis Pack

Important: This function has been replaced with one or more new functions that may provide improved accuracy and whose names better reflect their usage. Although this function is still available for backward compatibility, you should consider using the new functions from now on, because this function may not be available in future versions of Excel.

For more information about the new function, see T.TEST function.

Syntax

TTEST(array1,array2,tails,type)

The TTEST function syntax has the following arguments:

Microsoft Office Mac 2011 Excel Data Analysis
  • Array1 Required. The first data set.

  • Array2 Required. The second data set.

  • Tails Required. Specifies the number of distribution tails. If tails = 1, TTEST uses the one-tailed distribution. If tails = 2, TTEST uses the two-tailed distribution.

  • Type Required. The kind of t-Test to perform.

If type equals

This test is performed

1

Paired

2

Two-sample equal variance (homoscedastic)

3

Two-sample unequal variance (heteroscedastic)

Remarks

  • If array1 and array2 have a different number of data points, and type = 1 (paired), TTEST returns the #N/A error value.

  • The tails and type arguments are truncated to integers.

  • If tails or type is nonnumeric, TTEST returns the #VALUE! error value.

  • If tails is any value other than 1 or 2, TTEST returns the #NUM! error value.

  • TTEST uses the data in array1 and array2 to compute a non-negative t-statistic. If tails=1, TTEST returns the probability of a higher value of the t-statistic under the assumption that array1 and array2 are samples from populations with the same mean. The value returned by TTEST when tails=2 is double that returned when tails=1 and corresponds to the probability of a higher absolute value of the t-statistic under the “same population means” assumption.

Example

Copy the example data in the following table, and paste it in cell A1 of a new Excel worksheet. For formulas to show results, select them, press F2, and then press Enter. If you need to, you can adjust the column widths to see all the data.

Microsoft Office Mac 2011 Excel Data Analysis Software

Data 1

Data 2

3

6

4

19

5

3

8

2

9

14

1

4

2

5

4

17

5

1

Formula

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Description (Result)

Result

=TTEST(A2:A10,B2:B10,2,1)

Probability associated with a Student's paired t-Test, with a two-tailed distribution. Uses values in A2:A10 and B2:B10.

0.19602