Coefficient of determination for Multiple linear regression in TI-84 Plus

After determining the parameters of multiple linear regression in TI-84 (which do not have any direct built-in function support of this calculation), the coefficient of determination can also be easily calculated using the rich set of list functions supported by TI-84. Following the previous example, the dependent variable is in Sales list, the other two independent variables are Size and Dist lists.

The Yhat list is to be prepared first. This lists store the predicted values using the regression parameters determined in the previous installment.
mreg84rsq3amreg84rsq3

Next, the mean of Y and Yhat are calculated and stored to a handy list S.

mreg84rsq2

Furthermore, three lists SYY, SYhYh, SYYh are calculated respectively.

mreg84rsq4mreg84rsq3e

mreg84rsq6mreg84rsq5

mreg84rsq8mreg84rsq7

The result is obtained by the formula below.
mreg84rsq9

Advertisements

One thought on “Coefficient of determination for Multiple linear regression in TI-84 Plus

  1. Pingback: Multiple linear regression in TI-84 Plus | gmgolem

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s