For Exercises 2.44 and 2.45, see page 82; for 2.46, see page 84; for 2.47, see page 86; for 2.48 and 2.49, see page 88; for 2.50, see page 90; for 2.51, see page 90; for 2.52, see page 91; and for 2.53, see page 94.

Question 2.70

2.70 Data generated by software

The following 20 observations on and were generated by a computer program.

gendata

34.38 22.06 27.07 17.75
30.38 19.88 31.17 19.96
26.13 18.83 27.74 17.87
31.85 22.09 30.01 20.20
26.77 17.19 29.61 20.65
29.00 20.72 31.78 20.32
28.92 18.10 32.93 21.37
26.30 18.01 30.29 17.31
29.49 18.69 28.57 23.50
31.36 18.05 29.80 22.02
  1. Make a scatterplot and describe the relationship between and .
  2. Find the equation of the least-squares regression line and add the line to your plot.
  3. Plot the residuals versus .
  4. What percent of the variability in is explained by ?
  5. Summarize your analysis of these data in a short paragraph.