A manufacturer of cases for sound equipment requires drilling holes for metal screws. The drill bits wear out and must be replaced; there is expense not only in the cost of the bits but also for lost production. Engineers varied the rotation speed of the drill and measured the life- time y of four bits at each of five speeds.  Speed Lifetime 60 4.6 60 3.8 60 4.9 60 4.5 80 4.7 80 5.8 80 5.5 80 5.4 100 5 100 4.5 100 3.2 100 4.8 120 4.1 120 4.5 120 4 120 3.8 140 3.6 140 3 140 3.5 140 3.4 Create a scatterplot of the data. Does there appear to be a relation? Does it appear to be linear? Regardless fit a simple linear regression model to the data. What can you say about the fit of the model to the data? Is there any evident outlier 
. Remove this observation and fit the regression model again. Is it improving the model f

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A manufacturer of cases for sound equipment requires drilling holes for metal screws. The drill bits wear out and must be replaced; there is expense not only in the cost of the bits but also for lost production. Engineers varied the rotation speed of the drill and measured the life- time y of four bits at each of five speeds. 

Speed Lifetime
60 4.6
60 3.8
60 4.9
60 4.5
80 4.7
80 5.8
80 5.5
80 5.4
100 5
100 4.5
100 3.2
100 4.8
120 4.1
120 4.5
120 4
120 3.8
140 3.6
140 3
140 3.5
140 3.4
    1. Create a scatterplot of the data. Does there appear to be a relation? Does it appear to be linear?
    2. Regardless fit a simple linear regression model to the data. What can you say about the fit of the model to the data?
    3. Is there any evident outlier 
. Remove this observation and fit the regression model again. Is it improving the model f
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