Learn To Be brings free online tutoring students around the United States. Volunteer and gain community service hours while helping students who need it./p>

Least squares regression line basics

In order to earn a little extra money, Anna set up a lemonade stand on her block over the summer. Suspecting that there might be a relationship between the temperature and the amount of lemonade she sells, Anna recorded the day’s high temperature and the number of cups of lemonade she sold for 1010 days. After plotting her results, Anna noticed that the relationship between her two variables appeared fairly linear, so she used technology to calculate the equation of the least-squares regression line.
The figure below shows the computer regression output.
PredictorCoefSE CoefTP
Constant33.704-33.7040.1340.13420.67820.6780.0000.000
Temperature0.60120.60120.0570.0574.04564.04560.0040.004
S=1.926R-Sq=67.168%R-Sq(adj)=60.581%S=1.926\quad R\text{-}Sq=67.168\%\quad R\text{-}Sq (adj) = 60.581\%
Use the information in the regression output to predict Anna's lemonade sales when the daily high temperature is 85F85^{\circ}F.
Round your answer to the nearest integer value.
  • Your answer should be
  • an integer, like 66
  • a simplified proper fraction, like 3/53/5
  • a simplified improper fraction, like 7/47/4
  • a mixed number, like 1 3/41\ 3/4
  • an exact decimal, like 0.750.75
  • a multiple of pi, like 12 pi12\ \text{pi} or 2/3 pi2/3\ \text{pi}
cups of lemonade.