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Use the following information to answer the question. A high school girls cross country coach performs a regression to predict the finish times of runners in the 10k event from the number of minutes of training in the previous week. The output is shown below. Assume that the conditions of the linear regression model hold.
Use the following information to answer the question. A high school girls cross country coach performs a regression to predict the finish times of runners in the 10k event from the number of minutes of training in the previous week. The output is shown below. Assume that the conditions of the linear regression model hold.    -Suppose the coach's top runner trained for 145 minutes the previous week. If this runner participates in the 10k event, what is the coach's expected finish time for this runner? Can he be reasonably confident that this runner will beat the time she had at the last meet of 51 minutes? A) Expected finish time is 50.86 minutes. The coach can be confident that this runner will beat the previous meet's time of 51 minutes because the interval contains the value of 51 minutes. B) Expected finish time is 88.56minutes. The coach cannot be confident that this runner will beat the previous meet's time because the interval contains the value of 51 minutes. To be confident the interval would have to lie completely below 51 minutes. C) Expected finish time is 88.56 minutes. The coach can be confident that this runner will beat the previous meet's time of 51 minutes because the interval contains the value of 51 minutes. D) Expected finish time is 50.86 minutes. The coach cannot be confident that this runner will beat the previous meet's time because the interval contains the value of 51 minutes. To be confident the interval would have to lie completely below 51 minutes.
-Suppose the coach's top runner trained for 145 minutes the previous week. If this runner participates in the 10k event, what is the coach's expected finish time for this runner? Can he be reasonably confident that this runner will beat the time she had at the last meet of 51 minutes?


Definitions:

Subsistence Farmers

Farmers who primarily grow food and rear animals for their own family's consumption, with little to no surplus for trade.

Sustainable

Relating to practices and methods that meet current needs without compromising the ability of future generations to meet theirs, often in the context of environmental conservation.

Temperate Deciduous Forests

Biomes characterized by four distinct seasons and trees that lose their leaves annually; found in temperate zones across the globe.

Greenhouse Gases

Trace gases in the atmosphere that allow the sun’s energy to penetrate to Earth’s surface but do not allow as much of it to escape as heat

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