10.21 Computer memory. The capacity of memory commonly available at retail has increased rapidly over time.7

  1. (a) Make a scatterplot of the data. The growth is much faster than linear.

  2. (b) Compute the logarithm of capacity and plot it against year. Are these points closer to a straight line?

  3. (c) Fit the simple linear regression model with logarithm of capacity as the response and year as the explanatory variable. Give a 90% confidence interval for the slope of the population regression line.

  4. (d) Write a brief summary describing the change in memory capacity over time using the confidence interval from part (c).