please interpret all the coefficients and the p-values associated with the coeff

Question

please interpret all the coefficients and the p-values associated with the coefficients of the model below. Is all the p-value below significance level 0.05?

Coefficients:
               Estimate Std. Error t value Pr(>|t|)   
(Intercept) -2.005e+01 8.171e-01 -24.542 < 2e-16 ***
sqft_living   2.193e-05 1.359e-06 67.642 < 2e-16 ***
grade         5.201e-02 1.127e-03 72.785 < 2e-16 ***
zipcode        3.642e-02 1.097e-03 33.196 < 2e-16 ***
lat           1.829e-01 5.889e-03 100.002 < 2e-15 ***
long          4.358e-03 6.242e-03   0.858    0.691   
yr     -1.251e-03 3.410e-05 -36.670 < 2e-16 ***
yr_built 1.648e-05 2.028e-06   8.126 4.67e-16 ***
---
Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Residual standard error: 0.1152 on 21605 degrees of freedom
Multiple R-squared: 0.7133,    Adjusted R-squared: 0.7062
F-statistic: 9077 on 7 and 21605 DF, p-value: < 2.2e-16

Explanation / Answer

Here we see the significance test for each of the independent variables. We see the p-value here for each of the independent variable and we see that it is very very small for all variables except the independent variable LONG for which the p-value is 0.691

Therefore Long is not a significant independent variable here. Rest all the independent variables are significant here.

The coefficient here for any independent variable is interpreted as:

For example: The variable lat for which the coefficient is 0.1829, the interpretation for this is that for a unit change in the independent variable let, there would be an increase in the dependent variable value by 0.1829 units.

Similarly the other coefficients are interpreted.

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