Question: 1. A small hospital is planning for future needs in its maternity wing. The data below show the number of births in each of the

1. A small hospital is planning for future needs

1. A small hospital is planning for future needs in its maternity wing. The data below show the number of births in each of the past eight years. (CLO3: 10 Marks) Year 1 2 3 4 Births 565 590 583 597 Year 5 6 7 8 Births 615 611 610 623 a. Use simple linear regression to forecast the annual number of births for each of the next three years. (6 Marks) b. Determine the correlation coefficient for the data and interpret its meaning. (2 Marks) c. Find the coefficient of determination for the data and interpret its meaning. (2 Marks) 2. Suregrip Calculator Company (SCC) needs to estimate its sales for next year. The most recent six years of revenue data for the company's popular line of calculators are given below: (CLO3: 10 Marks) Year 1 2 3 Sales Revenues (millions of dollars) 46.7 59.3 74.2 Year 4 5 6 Sales Revenues (millions of dollars) 77.9 85.1 98.0 a. Assuming that the sales data above are representative of sales expected next year, use time series regression analysis to forecast next year's (Year 7's) sales revenues. (6 Marks) b. Determine the correlation coefficient for the data and interpret its meaning. (2 Marks) c. Find the coefficient of determination for the data and interpret its meaning. (2 Marks)

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