MS 150 Statistics q12 lin reg review • Name:

SVG xy scatter graph of image depth versus object depth grid axes data points best fit line text layers Image versus object depth image depth ί (cm) object depth δ (cm) y-axis labels 0.0 0.3 0.6 0.9 1.2 1.5 1.8 2.1 2.4 2.7 3.0 x-axis labels 0.00 0.30 0.60 0.90 1.20 1.30 1.80 2.10

image depth ί (cm)object depth δ (cm)
0.30.5
0.51.0
1.01.4
1.42.4
1.92.9
  1. ______________ Does the relationship between image depth ί and object depth δ appear to be linear, non-linear, or random?
  2. ______________ Determine the slope of the linear regression (best fit line) for the data.
  3. ______________ Determine the y-intercept of the linear regression for the data.
  4. ______________ Determine the correlation coefficient r.
  5. ______________ Is the correlation positive or negative?
  6. ______________ Is the correlation none, weak, moderate, strong, or perfect?
  7. ______________ Use the slope and intercept above to calculate the predicted object depth δ for an image depth ί of 3 cm. For the purposes of this exercise, presume that the relationship holds beyond the data values in the table.
  8. ______________ Use the slope and intercept to solve for the predicted image depth ί for an object depth δ of 4.0 cm.

Lab description. Lab images.

By the way, upcoming spring 2008 fun run walk events, usually starting at 7:00 A.M. from Palm Terrace parking lot. Registration open at 6:30 A.M. Good opportunities to find your own personal linear regression!

Linear Regression Functions
Statistic or ParameterMath symbolStat symbolOpenOffice
Slopemb=slope(y-data;x-data)
Interceptba=intercept(y-data;x-data)
Correlation r=correl(y-data;x-data)
Coefficient of Determination r2 =(correl(y-data;x-data))^2

Statistics • Lee Ling • COMFSM