A handheld digital camera was used to photograph the moon's orbit and the results summarized in the American Journal of Physics (Apr.2014).The pictures were used to measure the angular size (in pixels) of the moon at various distances (heights) above the horizon (measured in degrees). The data for 13 different heights are illustrated in the graph below and saved in the MOON file.
a. Is there visual evidence of a linear trend between angular size (y) and height above horizon (x)? If so, is the trend positive or negative? Explain.
b. Draw what you believe is the best-fitting line through the data.
c. Draw vertical lines from the actual data points to the line, part b. Measure these deviations and then compute the sum of squared deviations for the visually fitted line.
d. An SAS simple linear regression printout for the data is shown in the next column. Compare the y-intercept and slope of the regression line to the visually fitted line, part b.
e. Locate SSE on the printout. Compare this value to the result in part c. Which value is smaller?

The REG Procedure
Model: MODEL1
Dependent Variable: Angle
Number of Observations Read ................... 13
Number of Observation Used .....................13

Transcribed Image Text:

327 326 325 324 323 322 321 50 10 20 30 60 70 80 40 Height (h) above the horizon (deg) Angular size (pixels) Analysis of Variance Sum of Mean DF Squares Square F Value Pr > F Source Model 1 28.64766 28.64766 11 3.56465 0.32406 88.40 <.0001 Error Corrected Total 12 32.21231