(06.06 MC)  Monthly grocery cost based on the average number of shopping trips is predicted using the least-square regression line, ŷ = 275.3 + 90.7x, where ŷ represents the predicted monthly expense and x represents the average number of trips. A shopper visits the grocery store an average of 3.2 times and has a monthly cost of $520. What is the residual for the shopper? (3 points)

A beam has dimensions of b = 16 in., h = 26 in., and d = 23.5 in. and is reinforced with 4 No. 8 bars. The concrete strength is 8,200 psi, and the yield strength of the reinforcement is 60,000 psi. Assuming the reinforcement has yielded, determine the tensile force T in the reinforcement.

(04.02 MC)  The probability of tails of a weighted coin is 0.65. The number of tails is noted each of the 15 times the coin is tossed. If this procedure is repeated 100 times, what type of distribution is simulated? (3 points)

A beam has dimensions of b = 16 in., h = 28 in., and d = 25.5 in. and is reinforced with 3 No. 8 bars. The concrete strength is 6,400 psi, and the yield strength of the reinforcement is 60,000 psi. Determine the strength Mn for this beam.

One of the primary reasons for using compression reinforcement is to increase the ductility of a given beam section.

Based on scientific research the recommended amount of water to drink in a day is: 

(06.01 MC)  A mathematician reported the results from a particular experiment to the researcher who conducted it. The report states that on one specific part of the experiment, a statistical test result yielded a p-value of 0.21. Based on this p-value, what should the researcher conclude? (3 points)

(05.04 MC)  A researcher has conducted a survey using a simple random sample of 500 golf club members to create a confidence interval to estimate the proportion of golf club members favoring a 1% annual increase in dues to remodel the clubhouse. Assume that the sample proportion does not change. The researcher now decides to survey a random sample of 125 people instead of 500 golf club members. Which of the following statements best describes how the confidence interval is affected by this change? (3 points)

(06.07 MC)  The cost and customer rating of 15 cars is shown on the scatterplot. The cars are rated on a scale of 0 to 100. Part A: Describe the association shown in the scatterplot. (4 points). Part B: Give an example of a data point that affects the appropriateness of using a linear regression model to fit all the data. Explain. (4 points)Part C: Give an example of a car that is cost effective and rated highly by customers. (2 points)(10 points)

(06.05, 06.06 MC) In a study of the performance of a new engine design, the weight of 12 speed boats (in tons) and the top speed (in mph) were recorded. A regression line was generated and shown to be an appropriate description of the relationship. The results of the regression analysis are below. Depend Variable: Top Speed VariableConstantWeight Coefficient107.580.8710 s.e. of Coeff11.120.4146 t-ratio9.672.10 prob0.0000.062 R squared = 30.6% R squared (adjusted) = 23.7% s = 10.42 with 12 – 2 = 10 degrees of freedom Part A: What is the LSRL based on the analysis provided? Make sure to identify what the variables represent in the context of the problem. (4 points)Part B: What is the predicted value for the top speed of a boat if its weight is 4 tons? Show your work. (6 points)