A geological geologist has studied a specific geyser. She recorded 100 times how long the last eruption lasted in seconds (long distance) and how long the eruption lasted in seconds (long eruption) in order to construct a model that predicts the length of the eruption based on how far it has been since the last eruption. She started by drawing graphs and saw that the relationship is linear. She calculated some light sizes that can be seen below: mean standard deviation meridian 70.95 12.62 longitudinal erupti 3.46 |1.18 The correlation between meridian and longitudinal eruption is 0.89. 1. What is the least square equation regression line? O ý = 38.018+9.518x O ý = 9.518 + 38.018x O ŷ = 0.083 – 2.429x O 9 = -2.429 + 0.083x O ŷ = 9.349 +0.083x Questions 2 and 3 also deal with the Earthquake and the eruption 2. Which of the following statements is correct for Jarðþrúður's model? a. The shorter since the last eruption, the longer the eruption will last. b. The longer since the last eruption, the shorter the eruption will be. c. With each added second that elapses between eruptions (since last eruption), the eruption will take approx. 5 seconds shorter. d. The longer since the last eruption, the longer the eruption will last. e. With each added second that elapses between eruptions (since last eruption), the eruption will take approx. 5 seconds longer (e. 3. How much variability in the duration of eruptions can be explained by how long since last eruption? a. about 79%. b. about 20%. c. about 89%. d. about -89%. e. about -79%.

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A geological geologist has studied a specific geyser. She recorded 100 times how long the
last eruption lasted in seconds (long distance) and how long the eruption lasted in seconds
(long eruption) in order to construct a model that predicts the length of the eruption based
on how far it has been since the last eruption. She started by drawing graphs and saw that
the relationship is linear. She calculated some light sizes that can be seen below:
mean
standard deviation
meridian
70.95
12.62
longitudinal erupti 3.46
|1.18
The correlation between meridian and longitudinal eruption is 0.89.
1. What is the least square equation regression line?
O ý = 38.018+9.518x
O ŷ = 9.518+38.018x
O ŷ = 0.083 – 2.429x
O ý = -2.429 + 0.083x
O ý = 9.349 +0.083x
Questions 2 and 3 also deal with the Earthquake and the eruption
2. Which of the following statements is correct for Jarðþrúður's model?
a. The shorter since the last eruption, the longer the eruption will last.
b. The longer since the last eruption, the shorter the eruption will be.
c. With each added second that elapses between eruptions (since last eruption),
the eruption will take approx. 5 seconds shorter.
d. The longer since the last eruption, the longer the eruption will last.
e. With each added second that elapses between eruptions (since last eruption),
the eruption will take approx. 5 seconds longer (e.
3. How much variability in the duration of eruptions can be explained by how long since
last eruption?
a. about 79%.
b. about 20%.
c. about 89%.
d. about -89%.
e. about -79%.
Transcribed Image Text:A geological geologist has studied a specific geyser. She recorded 100 times how long the last eruption lasted in seconds (long distance) and how long the eruption lasted in seconds (long eruption) in order to construct a model that predicts the length of the eruption based on how far it has been since the last eruption. She started by drawing graphs and saw that the relationship is linear. She calculated some light sizes that can be seen below: mean standard deviation meridian 70.95 12.62 longitudinal erupti 3.46 |1.18 The correlation between meridian and longitudinal eruption is 0.89. 1. What is the least square equation regression line? O ý = 38.018+9.518x O ŷ = 9.518+38.018x O ŷ = 0.083 – 2.429x O ý = -2.429 + 0.083x O ý = 9.349 +0.083x Questions 2 and 3 also deal with the Earthquake and the eruption 2. Which of the following statements is correct for Jarðþrúður's model? a. The shorter since the last eruption, the longer the eruption will last. b. The longer since the last eruption, the shorter the eruption will be. c. With each added second that elapses between eruptions (since last eruption), the eruption will take approx. 5 seconds shorter. d. The longer since the last eruption, the longer the eruption will last. e. With each added second that elapses between eruptions (since last eruption), the eruption will take approx. 5 seconds longer (e. 3. How much variability in the duration of eruptions can be explained by how long since last eruption? a. about 79%. b. about 20%. c. about 89%. d. about -89%. e. about -79%.
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