Explanation of LM Output

model jan = lat

The results of this command are

                          See M-Lab 3 for explanation of this ANOVA Table
*************************************************************************
*Sequential Sums of Squares ANOVA Table                                 *
*                                                                       *
*Source       df            SS            MS           F         p-val  *
*                                                                       *
*Intercept     1    45777.3282    45777.3282    638.4939    0.00000000  *
*lat           1     4797.7835     4797.7835     66.9186    1.1773e-10  *
*Error        48     3441.3983       71.6958                            *
*************************************************************************

R-square  0.58231   <--- For models with one term like this, this is just
                         the square of the correlation beteen x and y,r2.
                         For models with more than term, R2 is the proportion
                         of the variation in y explained by the association
                         with x.

Standard Error  8.4673  <--- The estimate of the standard deviation of the
                             errors ei in the model yi=a+bxi+ei.

Parameter Estimates

Source       Parameter Estimate    Std. Error          t         p-val

Intercept               99.9955       8.60870    11.6157    1.5543e-15
lat                     -1.8898       0.23102    -8.1804    1.1773e-10

 ^                        ^             ^         ^         ^ p-values smaller
 |                        |             |         |         | than .05 suggest
 |                        |             |         |           that the true
List of terms   Least sq. estimates.    |         |           coeff. is not 0.
in the model.   99.9955 is estimated    |         |
                intercept. -1.8898 is   |   Est./Std. Error
                estimated slope for lat.|   For example,
                                        |   99.9955/8.60870=11.6157
                                        |
                                  Estimates of the standard deviation
                                  of the least squares estimates of the
                                  coefficients.

Thus the least squares line is

jan = 99.9955 + -1.8898*lat