A teacher believes that the third homework assignment is a key predictor in how well students will do on the midterm. Let x represent the third homework score and y the midterm exam score. A random sample of last terms students were selected and their grades are shown below. Assume scores are normally distributed.

HW3Midterm13.359.81121.987.5399.753.7282596.2835.439.17413.266.09220.989.72918.578.9852086.215.473.2742593.259.752.2576.443.98420.279.76221.884.25823.192.9112387.8211.445.03414.971.86918.476.70415.160.4311565.1516.877.208

Based on your results, If your HW3 grades increases by 1 point, your Midterm grade, on average, increases by approximately how much?

Place your answer, rounded to 3decimal places, in the blank.Do notuse any stray punctuation marks or a dollar sign.For example, 34.567would be a legitimate entry.