4. The following set of data were track as a function of time t. C taken for the

Question

4. The following set of data were track as a function of time t. C taken for the displacement x of a cart on an air t2 for each of the data points and then per- m a linear least squares fit to x versus t2, where x is the ordinate and 2 is the abscissa. Record the slope and correlation coefficient below. x (m) 0-0 150 0.338 0600 0.930 1.37 2.45 1.a7 0.975 1.48 2 (82) 2.04 2.46 3.03 3.95 Slope =-Dersom e- Correlation Coefficient .91120 Laboratory 4 5 6. Consider the correlation coefficient r calculated in question 4. Using the table in Appendix I, state the significance of the fit to these data. Remember that includ- ing the point (0,0) there are seven data points in this example.

Explanation / Answer

From the table in appendix 1, for n=7 we can say that the data agrees for a linear relationship between x and t2

moreover the value of correlation coefficient approaches 1 and hence the linear fitting of the data is fine

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