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4-62.

Robbie’s class collected the following view tube data in problem 4-1.

Distance from wall (in)

Width of field of view (in)

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  1. Use your calculator to make a scatterplot and graph the least squares regression line (LSRL). Sketch the graph and LSRL on your paper. Remember to put a scale on the axis and axis of your sketch. Write the equation of the LSRL rounded to four decimal places.

    See scatterplot below.

    First quadrant scatterplot, x axis from 50 to 150, y axis from 5 to 25. Data points from table are graphed, & increasing line, such that points cluster closely to the line, with the points, in order from left to right, below, above, above, above, below, above, & on, the line.

  2. Using your calculator, determine the residuals. Make a table with the distance from wall (inches) as the first column and residual (inches) in the second column. What is the sum of the squares of the residuals?

  • See table below.
    Use your calculator to find the sum of the squares of the residuals.

    Distance from wall (in)

    Residual (in)

    144

    -0.198

    132

    0.305

    120

    -0.391

    96

    0.316

    84

    0.219

    72

    0.123

    60

    -0.374