Question: Suppose that after collecting survey data exploring the relationship between test scores (as a percentage) and time spent studying (in hours) we have the following

  1. Suppose that after collecting survey data exploring the relationship between test scores (as a percentage) and time spent studying (in hours) we have the following mathematical model: y = 16x + 35 with R2 = 0.55
    • If you wanted to transform this line to have a vertical shift of +20, describe what changes would need to occur in the data for that to be possible.
    • If you wanted to transform the line so that the slope was less steep, describe what changes you would need to see in the data.
    • If a student wanted to achieve an 80% on their next test, how much time should they study according to this model?
    • How confident should a student be in the answer from part c? Justify your answer.

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