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4. Let’s compare the results you calculated for Q3b with results from a multiple linear regression....

4. Let’s compare the results you calculated for Q3b with results from a multiple linear regression.

4a. Would additionally controlling for ‘depth’ and ‘latitude’ be helpful? In other words, is a model that includes ‘depth’, ‘latitude’ and ‘longitude’ superior in model fit to a model that includes only ‘longitude’? Output for a multiple linear regression which includes longitude, depth, and latitude is provided below. (2 points)

4b. Interpret the parameter estimate for ‘longitude’ from the multiple linear regression output. (1 point)

Analysis of Variance

Source

DF

Sum of
Squares

Mean
Square

F Value

Pr > F

Model

3

1.07870

0.35957

4.38

0.0159

Error

20

1.64090

0.08204

Corrected Total

23

2.71960

Root MSE

0.27953

R-Square

0.3966

Dependent Mean

2.98200

Adj R-Sq

0.3104

Coeff Var

9.37398

Parameter Estimates

Variable

DF

Parameter
Estimate

Standard
Error

t Value

Pr > |t|

Intercept

1

4.86602

0.85582

5.69

<.0001

Depth

1

0.00131

0.01084

0.12

0.9049

Latitude

1

0.00564

0.01108

0.51

0.6157

Longitude

1

0.01849

0.00561

3.29

0.0035

PLEASE WITH FORMULA AND EXPLANATION

math   Statistics-And-Probability   
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