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  1. Fitting a straight line to a set of data yields the following prediction line:

Y=3+5x

  1. Interpret the meaning of the y intercept, b0
  2. Interpret the meaning of the slope, b1
  3. Predict the value of y for x= 4
  • If the values of x in problem range from 3 to 24, should you use this model to predict the mean value of y when: 
  • x = 3?
  • x = -3?
  • x = 23?
  • x = 25?

Note: Each sub-item above is answerable by yes or no.

  • Fitting a straight line to a set of data yields the following prediction line:

Y = 15 – .09x

  1. Interpret the meaning of y intercept, b0
  2. Interpret the meaning of slope, b1
  3. Predict the value for y when x = 5
  • How do you interpret a coefficient of determination, r2 = 0.85?
  • If SSR = 45 and SSE = 5 determine SST and compute the coefficient r2 and interpret its meaning.
  • If SSR = 66 and SST = 88 compute the coefficient r2 and interpret its meaning.
  • If SSE = 10 and SSR = 50 determine SST and compute the coefficient r2 and interpret its meaning
  • If SSR = 120, why is it impossible for SST to = 110?
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