Upward Bound Algebra I linear regression test one • Name:

Time (seconds) xDistance (m) y
05
215
425
635
845
  1. Multiply: (x + 3)(x² − 5x + 7)
  2. A ball was rolled along a 45 meter length of sidewalk. Chalk was used to mark the sidewalk every five meters. The time for the ball to pass each mark was recorded in the table. Plot this data on the graph provided.

Rolling a ball along the sidewalk background rectangle major grid lines axes x-axis and y-axis coordinate labels for the circles below (0,5) (2,15) (4,25) (6,35) (8,45) linear regression line data points as circles text layers Rolling a ball along the sidewalk Time (seconds) Distance (m) y-axis labels 0 5 10 15 20 25 30 35 40 45 50 x-axis labels 0.0 1.0 2.0 3.0 4.0 5.0 6.0 7.0 8.0 9.0 10.0

  1. Draw a straight line through the points on the graph.
  2. ______________ Calculate the slope of the line.
  3. Draw a circle around the y-intercept.
  4. ______________ Write the y-intercept of the line.
  5. ______________ Use the slope and intercept to calculate the predicted distance the ball would roll in 12 seconds. [How far will the ball roll in 12 seconds?]
  6. ______________ Use the slope and intercept to calculate the predicted time for the ball to roll 60 meters.[How long a duration time for the ball to roll 60 meters?]
  7. ______________ What is the speed of the ball in meters per second?