Interpret the meaning of the value of the correlation coefficient in relation to

Question

Interpret the meaning of the value of the correlation coefficient in relation to the study. Create the equation of the linear regression line that best fits the data. Make sure to identify the slope and y-intercept. Round values to the nearest tenth place. Describe the meaning of the slope (in terms of rise over run) with respect to this problem. Estimate the yearly revenue of the new restaurant if the city it is found in has a population of 30, 400 residents. The high school band director wants to plan the next out of state field trip for his band. Instead of getting everyone's input on where to go, he elects you to conduct a survey of a sample of the band members. Design a stratified sampling method to obtain individuals that best represent the population. A footwear company developed a new type of shoe designed to help delay the onset of arthritis in the knee. Eighty people with early signs of arthritis volunteered for a study. One-halt of the volunteers wore the experimental shoes and the other half wore regular shoes that looked exactly like the experimental shoes. The individuals wore the shoes every day. At the conclusion of the study, their symptoms were evaluated and MRI tests were performed on their knees. Is this an experiment or an observational study? Explain your reasoning. What is the explanatory variable(s)? What are the subjects? What are the factors? What are the treatments? What is the response variable? Name one lurking variable that could occur in this study.

Explanation / Answer

Question 8

Answer:

The selection of the proper random sampling method is very important during the design of experiment. For the given scenario, we have to use the stratified random sampling method for the selection of the individuals. The sample should represent the entire population under study. Here, we have to select the band members from the entire population of band members from the respective high school. So, we will make different strata according to different classes of the individuals in the high school. We will consider the class as a single stratum. Then we will select the individuals from each stratum by using the simple random sampling method. We will decide the weight of each stratum or class according to the total number of individuals or students in the class or stratum. Thus we will select the individuals from each stratum with equal proportion or ratio. Then the selected sample by using the stratified random sampling will represent the entire population of the band members of the high school. Also, each class or stratum will get proper representativeness for the selected team of band members. This is important for getting the unbiased results for the further estimation or prediction purposes.

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