8. The following data gives values for the fuel used to heat a house for a month, and the number of degree-days (which measures the extent to which the temperature was below 20°). Degree-Days 24 51 43 33 26 | 13| 4 0|0|16 12 30 32 52 30 6.3 10.9 8.9 7.5 | 5.3 4.0 | 1.7| 1.2 | 1.2 1.2 2.1 3.1 6.4 7.2| 1L.0 | 6.9 Fuel a) Draw a scatter plot. Does there visually appear to be a significant correlation? b) Determine the correlation coefficient? Is there a significant correlation? c) Determine the equation of the regression line. d) Predict the fuel use when a month has 20 degree-days. e) Suppose the next month has 20 degree-days, and the fuel use is 5.5. Explain why this answer is different from d).
8. The following data gives values for the fuel used to heat a house for a month, and the number of degree-days (which measures the extent to which the temperature was below 20°). Degree-Days 24 51 43 33 26 | 13| 4 0|0|16 12 30 32 52 30 6.3 10.9 8.9 7.5 | 5.3 4.0 | 1.7| 1.2 | 1.2 1.2 2.1 3.1 6.4 7.2| 1L.0 | 6.9 Fuel a) Draw a scatter plot. Does there visually appear to be a significant correlation? b) Determine the correlation coefficient? Is there a significant correlation? c) Determine the equation of the regression line. d) Predict the fuel use when a month has 20 degree-days. e) Suppose the next month has 20 degree-days, and the fuel use is 5.5. Explain why this answer is different from d).
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d) and e)
Transcribed Image Text:8. The following data gives values for the fuel used to heat a house for a month, and the number
of degree-days (which measures the extent to which the temperature was below 20°).
Degree-Days
43 33 26 13| 4|0|0| 1| 6 | 12 | 30 | 32 52 30
6.3 10.9 8.9 | 7.5 5.3 4.0 | 1.7 | 1.2 | 1.2 | 1.2| 2.1 3.1 6.4 7.2 11.0 | 6.9
24
51
Fuel
a) Draw a scatter plot. Does there visually appear to be a significant correlation?
b) Determine the correlation coefficient? Is there a significant correlation?
c) Determine the equation of the regression line.
d) Predict the fuel use when a month has 20 degree-days.
e) Suppose the next month has 20 degree-days, and the fuel use is 5.5. Explain why this
answer is different from d).
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