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. # of Beds 28 (x) # of Personnel 56 34 42 45 78 84 36 74 95 72 195 74 211 145 139 184 131 233 366 (у) 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: Should you 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 model to predict the number of personnel for a hospital with 500 beds because that is and should be avoided.

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter9: Solving Quadratic Functions
Section: Chapter Questions
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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.
# of Beds 28
(x)
# of
Personnel
56
34
42
45
78
84
36
74
95
72
195
74
211
145
139
184
131
233
366
(у)
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: Should you 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
model to predict the number of personnel for a hospital with 500 beds because that
is
and should be avoided.
Transcribed Image Text: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. # of Beds 28 (x) # of Personnel 56 34 42 45 78 84 36 74 95 72 195 74 211 145 139 184 131 233 366 (у) 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: Should you 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 model to predict the number of personnel for a hospital with 500 beds because that is and should be avoided.
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