Problem 25 Task Assignments How many ways can an adviser choose 4 students from a class of 12 if they are all assigned the same task? How many ways can the students be chosen if they are each given a different task? 495; 11,880 Step-by-Step Solution: Step 1 of 3 QuadraticRelationship - Check the residual plot to determine of the form of model is appropriate QuadraticModel QuadraticModel(2) QuadraticModel NoteExample ConcaveUpward - As price increase the sales volume decrease at a decreasing rate b0= 539242.8 b1= -765344.8 b2= 290156.24 Interpretations b = 539242.8 0 We predicted the sales volume to be 539242.8 when the price of cat food is 0. - This is extrapolation b1= -765344.8 We have no potential interpretation - What if we increase x1 by 1 unit b 2 290156.24 Since b2 is positive, we have a positive concave upward relationship between price and volume of cat food. HypothesisTesting H 0β 20 vs H :a >2 t-test T = 20.23 p-value = Decision: Reject H ,0since p-value is less than the level of significance0.01 Conclusion:we have statically significanceevidence for a concave upward curvature between the sales volume and the price of cat food Step 2 of 3
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