Analyzing Paper Bridge Experiments

The video tutorial explains how to draw a line of best fit using data from an experiment on paper bridges. It covers plotting data on graph paper, analyzing the correlation between bridge length and load capacity, and drawing a line of best fit. The tutorial also demonstrates calculating the equation of the line using the point-slope formula, allowing predictions about bridge load capacity based on length.

What was the purpose of the experiment conducted by the students?

• To measure the length of bridges

• To test the load-bearing capacity of paper bridges

• To test the color of paper bridges

• To count the number of pennies in a stack

What is the independent variable in the experiment?

• Time taken to collapse

• Bridge material

• Bridge length

• Number of pennies

How many squares were available on the horizontal axis for plotting?

• 15 squares

• 10 squares

• 20 squares

• 25 squares

What scale was used for the vertical axis to plot the number of pennies?

• Four squares for every 10 pennies

• One square for every penny

• Five squares for every 20 pennies

• Two squares for every 5 pennies

What kind of correlation was observed between bridge length and load capacity?

• Positive correlation

• Negative correlation

• No correlation

• Exponential correlation

What mistake did some students make when drawing the line of best fit?

• They used a curved line

• They connected the dots with line segments

• They used a ruler

• They drew a single straight line

What is the formula used to calculate the slope of the line of best fit?

• y = mx + b

• y - y1 = m(x - x1)

• x = my + b

• y = x + b

What is the slope of the line of best fit calculated in the video?

• -10

• 5

• 10

• -5

What is the final equation of the line of best fit derived in the video?

• y = -5x + 67.5

• y = 5x - 67.5

• y = 5x + 67.5

• y = -5x - 67.5

How can the line of best fit be used according to the video?

• To predict the color of the bridge

• To predict the number of pennies needed to collapse bridges of different lengths

• To predict the time taken for the bridge to collapse

• To predict the material of the bridge