## Regression Analysis and Residual analysis from Minitab output

The questions are on Regression and Analysis and Residuals. I need some explaining oh how to find and answer these questions just from a minitab output.

Questions: 1.) How much of the variation in the SAT score can be attributed to variation in the time spent studying?

2.)Do the residuals look like they are suitably random?

3.) Is the line itself significant?

Regression Analysis: SAT Scores versus Hours

Analysis of Variance

Regression 1 302081 302081 122.21 0.000
Hours 1 302081 302081 122.21 0.000
Error 18 44494 2472
Lack-of-Fit 13 41194 3169 4.80 0.047
Pure Error 5 3300 660
Total 19 346575

Model Summary

49.7178 87.16% 86.45% 78.77%

Coefficients

Term Coef SE Coef T-Value P-Value VIF
Constant 353.2 24.3 14.51 0.000
Hours 25.33 2.29 11.05 0.000 1.00

Regression Equation

SAT Scores = 353.2 + 25.33 Hours

Fits and Diagnostics for Unusual Observations

SAT
Obs Scores Fit Resid Std Resid
8 790.0 910.3 -120.3 -3.09 R X

R Large residual
X Unusual X

Thank you all in advance for your help! Statistics is very confusing I do not want to surrender this semester right at the end!