A motorist found that the efficiency of her engine could be increased by adding lubricating oil to fuel. She experimented with different amounts of lubricating oil and the data are Amount of lubricating oil (ml) | 0 25 50 75 100 Efficiency (%) 60 70 75 81 84

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A motorist found that the efficiency of her engine could be increased by adding lubricating
oil to fuel. She experimented with different amounts of lubricating oil and the data are
Amount of lubricating oil (ml)
Efficiency (%)
0 25 50 75 100
| 60 70 75 81 84
(a) Obtain the least squares fit of a straight line to the amount of lubricating
oil.
(b) Test whether or not the slope B, = 0. Take a = 0.05 as your level of
significance.
(c) Construct a 90% confidence interval on the mean response at xo = 10 ml.
Transcribed Image Text:A motorist found that the efficiency of her engine could be increased by adding lubricating oil to fuel. She experimented with different amounts of lubricating oil and the data are Amount of lubricating oil (ml) Efficiency (%) 0 25 50 75 100 | 60 70 75 81 84 (a) Obtain the least squares fit of a straight line to the amount of lubricating oil. (b) Test whether or not the slope B, = 0. Take a = 0.05 as your level of significance. (c) Construct a 90% confidence interval on the mean response at xo = 10 ml.
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