A middle manager at an entertainment company, upon seeing the analysis of Exercise 3, concludes that longer movies make less money. He argues that his company's films should all be cut by 30 minutes to improve their gross. Explain the flaw in his interpretation of this model.

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USGross Budget Run Time Movie White Noise Coach Carter Elektra Racing Stripes Assault on ($M) 56,094360 67.264877 24.409722 49.772522 20.040895 (SM) (minutes) Stars 101 136 100 110 109 2 65 30 30 Precinct 13 82.674398 5.178569 51.100486 20 Are We There Yet? Alone in the Dark 20 Indigo 2 105 5 Variable Coefficient SE(Coeff) ratio P-value Intercept-22.9898 25.70 -0.895 0.3729 Budget(S) 1.13442 0.1297 8.75 <0.0001 Stars Run Time -0.403296 0.2513 1.60 0.111.3 24.9724 5.884 4.24 <0.0001