Interpret the least squares regression line of this data set.Playing video games makes Francesca so happy that she thinks it even helps her complete more schoolwork. Francesca's roommate Justine is skeptical, so over the next few days, Justine asks Francesca about her progress on her daily reading.For each day, Justine notes the number of minutes Francesca spends playing video games, x. She also takes the number of pages Francesca reads and divides it by the total number of pages assigned, y.Minutes playing video games Percentage of reading assignment103 59.56111 54.57112 35.28112 57.78117 32.95The least squares regression line for the data set is:y=–1.821x+250.135Use it to complete the following sentence:If Francesca spends an additional minute playing video games, the least squares regression line predicts her completion percentage drops by points.Submit
Question
Interpret the least squares regression line of this data set.Playing video games makes Francesca so happy that she thinks it even helps her complete more schoolwork. Francesca's roommate Justine is skeptical, so over the next few days, Justine asks Francesca about her progress on her daily reading.For each day, Justine notes the number of minutes Francesca spends playing video games, x. She also takes the number of pages Francesca reads and divides it by the total number of pages assigned, y.Minutes playing video games Percentage of reading assignment103 59.56111 54.57112 35.28112 57.78117 32.95The least squares regression line for the data set is:y=–1.821x+250.135Use it to complete the following sentence:If Francesca spends an additional minute playing video games, the least squares regression line predicts her completion percentage drops by points.Submit
Solution
If Francesca spends an additional minute playing video games, the least squares regression line predicts her completion percentage drops by 1.821 points.
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