Problem Situation:A construction company wishes to build a rectangular enclosure to store machinery and equipment. The site selected borders on a river that will be used as one of the sides of the rectangle. Fencing will be needed to form the other three sides. The company has 682 feet of 10-foot high chain-link fencing. The questions that follow should help you determine the dimensions of the rectangle that will produce the maximum area for the storage site. Assume that the company wishes to use all of the fencing, and that “width” refers to the measure of each of the two sides that are perpendicular to the river, and “length” refers to the measure of the side parallel to the river (see diagram). For the questions that follow, all measurement answers are to be given with the correct unit label, e.g. feet, square feet, etc. All of the questions are in the file

Homework 3Homework 3 focuses on the application of concepts addressed in Exercises 13 and 28. Homework 3 is due SUNDAY at 11:59pm.Homework 3 involves survey data from the Centers for Disease Control (CDC) that focused on residential care facilities in the United States in 2010 (CDC, 2010). Residential care facilities primarily consist of persons in assisted living communities who receive housing and supportive services because they cannot live independently but generally do not require the skilled level of care provided by nursing homes. The focus of the first national study of acute care use in residential care facilities by Kahveci and Cipher (2014) was on acute care use (emergency department visits and hospitalizations) among persons in various disease categories, and information regarding the residents’ length of stay and visitor frequency was also collected. Length of stay in the facility was coded as 1 =0 to 3 months; 2 =3 to 6 months; 3= 6 months to a year; 4= 1 to 3 years; 5 =3 to 5 years; 6 =More than 5 years. Visitor frequency was coded as 1 =Every day; 2 =At least several times a week; 3 =About once a week; 4 =Several times in past month; 5 =At least once in past month; 6 =Not at all in the last 30 days. Therefore, higher values of the length of stay variable represent longer stays in the facility. Higher values of visitor frequency represent fewer visitor frequencies, which are considered inverse scoring.The null hypothesis is “There is no correlation between length of stay and visitor frequency among residents of residential care facilities.” The data are presented in HW3.sav. A subset of 15 residents was randomly selected for this example so that the computations would be small and manageable. In actuality, studies involving Pearson correlations need to be adequately powered (Aberson, 2010; Cohen, 1988) and in the case of CDC survey data, adjusted for complex sampling. Download the file: HW3.savOpen in SPSS. Use the dataset to answer the following questions.Calculate the Pearson r between LOS and visitor frequency, using the formula presented in Exercise 28. List the SOLVED numerator and the denominator. See attached for starter calculations. HW3 Starter Calculations.xlsxCompute the Pearson r with SPSS. Paste the correlation matrix table into your homework.What was the exact likelihood of obtaining the r value at least as extreme or as close to the one that was actually observed, assuming that the null hypothesis is true? (this question is asking you for the exact p value, converted to a percentage.) How would you characterize the magnitude of the effect between length of stay and visitor frequency? Refer to Table 28-1 for the size of the effect. State your rationale. Write your interpretation of the results, as you would in an APA-formatted journal. Remember that visitor frequency is REVERSE coded, with larger values represented FEWER visitors.Help for Homework 3:Please watch my video ‘What is a p value‘ in Module 2. When comparing the obtained r to the tabled r, the obtained must be higher than the tabled r to achieve significance. The other way to determine significance is to look at the exact p value presented in statistical software output. If the exact p is LESS THAN .05 thenthe result is significant.