Question

A medical researcher selects a random sample of 10 small hospitals in a particular state to see if there is a relationship between the number of hospital beds and the number of personnel employed by the hospital. The data are summarized. 56 34 42 45 78 84 36 74 95 # of Beds 28 (x) # of 72 Personnel 195 74 211 145 139 184 131 233 366 Blank #1: Sketch a scatterplot and describe the relationship you see. • Is it linear or non-linear? • Is it positive or negative? • Is it weak or strong? Give your answer as a list of 3 items to answer these 3 questions, separated by a comma and no extra spaces. For example, a valid answer might look like linear, negative,weak. Blank #2: Write the equation of the regression line, rounding coefficients to two decimal places. Make sure your answer is in equation form, using the variables x and y as appropriate with no extra spaces or parentheses. Blank #3: • Is it ok to use the model to make a prediction for the number of personnel for a hospital with 70 beds? (yes or no). • Regardless of your answer to that question, use your model to make that prediction and round your answer to the nearest whole number. Enter your answer as a list of two things here: either yes or no.prediction with no extra spaces. For example, a valid answer might look like no, 100 Blank #4: Regardless of your description of this relationship, you should not use the

Answer 1

Sol:

13801 13601 13400 1320 13004 2800 260 12400 12200 2001 11800 1604 1401 1201 | 1000 80 604 30 40 50 60 70 80 90

sol (1 from scattu plot the relationship seems Klops lineal, Positive, weak. ༡ 2 Requession line is rat atba where az y-t -bo and b= Elxi-t) cp g 2 {(xi-x) 2 calculations will get ba 2.7077 and a=20.118

20.12 +2.71XX ĝ Predicted no. of personnel as 200118 72.7077 x 70 - 209.65 ج ۱ 210 Yes, 210 should not use the model to predict the no. personnel for a hospital withi 500 beds because es way for the range or outside the range and should be avoided. that