2.80 Data generated by software. The following 20 observations on Y and X were generated by a computer program.

X Y X Y
22.06 34.38 17.75 27.07
19.88 30.38 19.96 31.17
18.83 26.13 17.87 27.74
22.09 31.85 20.20 30.01
17.19 26.77 20.65 29.61
20.72 29.00 20.32 31.78
18.10 28.92 21.37 32.93
18.01 26.30 17.31 30.29
18.69 29.49 23.50 28.57
18.05 31.36 22.02 29.80

  1. (a) Make a scatterplot and describe the relationship between Y and X.

  2. (b) Find the equation of the least-squares regression line and add the line to your plot.

  3. (c) What percent of the variability in Y is explained by X?

  4. (d) Summarize your analysis of these data in a short paragraph.