What is the coefficient of determination

Reference no: EM133127566

QBA201 Quantitative Business Analysis

Question 1: A restaurant manager claims that, on average, a chef is required to prepare more than five cakes per week. To examine the claim, the manager asks a random sample of 10 chefs to report the number of cakes they prepare weekly. The results are exhibited here (below). Can the manager conclude at the 5% significance level that the claim is true, assuming that the number of cakes is normally distributed with a standard deviation of 1.5?

Question 2: A company that produces Internet services wanted to determine the number of devices connected to the Internet American homes contain. The company surveyed 240 randomly selected homes and determined the number of devices connected to the Internet (the mean for the sample is 4.66 and the standard deviation is 2.37). If there are 100 million households, estimate with 99% confidence the total number of devices connected to the Internet in the United States.

Question 3: Amazon sells ground and whole bean coffee over the Internet. Buyers enter their orders, pay by credit card, and receive delivery by postal services. Amazon analyzed and determined that the average order would have to exceed $85 if the selling coffee on Internet were to be profitable. To determine whether selling coffee on Internet would be profitable in one large city, Amazon offered the service and recorded the size of the order for a random sample of buyers. (Sample mean is 89.27, sample standard deviation is 17.30 and sample size is 85). Can we infer from these data that an e-grocery will be profitable in this city at alpha 5% significance level?

Question 4: Use data file "data". A Dubai Honda dealer manager has been inspecting weekly advertisement expenditures. They have been giving advertisements to the national newspaper for the past 6 months and the number of ads per week has varied from one to seven. The dealer's sales staff has been tracking the number of customers who enter the store each week. The number of ads and the number of customers per week for the past 26 weeks are recorded.
a. What is the dependent variable? What is the independent variable?
b. What is the coefficient of determination? Interpret its value.
c. What is the regression equation?

Question 5: A union composed of several thousand pilots is preparing to vote on a new contract. A random sample of 500 pilots yielded 320 who planned to vote yes. It is believed that the new contract will receive more than 60% yes votes.
a. State the appropriate null and alternative hypotheses.
b. Can we infer at the 5% significance level that the new contract will receive more than 60% yes votes?

Attachment:- Quantitative Business Analysis.rar

Reference no: EM133127566

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