(10 pts)
Consider the effect of average atmospheric temperature
on the pounds of steam used per month at a local
manufacturing plant.
Temp, X Pounds of Steam, Y
10.98 35.3
11.13 29.7
12.51 30.8
8.40 58.8
9.27 61.4
8.73 71.3
6.36 74.4
8.50 76.7
7.82 70.7
9.14 57.5
8.24 46.4
12.19 28.9
11.88 28.1
9.57 39.1
10.94 46.8
9.58 48.5
10.09 59.3
8.11 70.0
6.83 70.0
8.88 74.5
7.68 72.1
8.47 58.1
8.86 44.6
10.36 33.4
11.08 28.6
Using the above data, fit the standard linear model.
Now, on a single figure, using B0 and B1 as the axes,
show
a) The point estimate (b0,b1)
b) The 90% joint confidence region for (B0,B1).
c) The 95% confidence intervals for B0 and B1, separately,
and the rectangle these jointly indicate.
d) Comment briefly on your results. What does the figure
tell you?