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In: Statistics and Probability

A chemical engineer is investigating the effect of process operating temperature on product yield. The study...

A chemical engineer is investigating the effect of process operating temperature on product yield. The study results in the following data:

Temperature Yield
100 56.17
110 72.28
120 75.68
130 73.30
140 90.95
150 90.21
160 103.68
170 114.28
180 123.66
190

130.66

You can use Minitab to answer the following questions. However, you should be able to calculate the slope and intercept of the least squares regression model by hand, which requires only the means and standard deviations of X and Y, and the correlation coefficient (here r = 0.9829).

  1. The intercept of the fitted regression line is closest to:
  2. The yield predicted by the regression model for a temperature of 150 degrees is closest to:
  3. The residual error for a temperature of 150 degrees is closest to:
  4. If the yield were measured in ounces instead of grams (note that 1 gram is 0.35274 ounces), the slope would change by a factor of:
  5. If the yield were measured in ounces instead of grams (note that 1 gram is 0.35274 ounces), the correlation coefficient would increase by a factor of:

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