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. A human resources study of hotels collected data on the size, measured by number of rooms, and the number of employees for 14 hotels in Canada.23 Here are the data: DATADATA

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Employees$1rn $1rn $1rn   Rooms$1rn $1rn $1rn $1rn   Employees$1rn $1rn $1rn $1rn   Rooms

   1200$1rn $1rn $1rn $1rn $1rn    1388$1rn $1rn $1rn $1rn $1rn 275$1rn $1rn $1rn $1rn $1rn $1rn    424

$1rn 180$1rn $1rn $1rn $1rn $1rn $1rn 348$1rn $1rn $1rn $1rn$1rn 105$1rn $1rn $1rn $1rn $1rn $1rn    240

$1rn 350$1rn $1rn $1rn $1rn $1rn $1rn 29 4$1rn $1rn $1rn $1rn$1rn 435$1rn $1rn $1rn $1rn $1rn $1rn$1rn 601

$1rn  250$1rn $1rn $1rn $1rn $1rn$1rn 413$1rn $1rn $1rn $1rn $1rn 585$1rn $1rn $1rn $1rn $1rn $1rn   1590

$1rn  415$1rn $1rn $1rn $1rn $1rn$1rn 346$1rn $1rn $1rn $1rn $1rn 560$1rn $1rn $1rn $1rn $1rn $1rn $1rn 380

$1rn  139$1rn $1rn $1rn $1rn $1rn    353$1rn $1rn $1rn $1rn $1rn  166$1rn $1rn $1rn $1rn $1rn $1rn $1rn   297

$1rn   121$1rn $1rn $1rn $1rn $1rn    191$1rn $1rn $1rn $1rn $1rn 228$1rn $1rn $1rn $1rn $1rn $1rn $1rn  108

(a) To what extent can the number of employees be predicted by the size of the hotel? Plot the data and summarize the relationship.

(b) Is this the type of relationship that you would expect to see before examining the data? Explain why or why not.

(c) Calculate the least-squares regression line and add it to the plot.

(d) Give the results of the significance test for the regression slope with your conclusion.

(e) Find a 95% confidence interval for the slope.