Question

The following data where are recently collected. We will use this data to determine if there is a relationship between age and the length of hospital stay for post surgical patients. Please use the data to answer all questions on the assignment, and assume the data form a simple random sample.

Age(years) Days in Hospital

40 11

36. 9

30. 10

27. 5

24. 12

Please note : for these data, x= 31.4, sx= 6.54, y=9.4, Sy=2.7

1) Find the equation of the least-squares line: y=a+bx. round your rwsults to two decimal places

2) compute the coefficient of determination, r^2. what oercebtage of the variation in y can be explained by the corresponding varationin X( be sure to write this statmenr about age and length of hospital stay) what percentage is due to other factora? what does this tell you anoht how well our model fits the given data?

Answer 1

a)

b)

This tells us that the model doesn't fits the given data very well since value of coefficient of determinant is very close to zero