45. Recall Examples 12.5 and 12.6 of Section 12.2, where the simple linear regression model was applied
Question:
45. Recall Examples 12.5 and 12.6 of Section 12.2, where the simple linear regression model was applied to 8 observations on x CO2 concentration and y mass (kg) of pine trees at age 11 months.
Further calculations give s .534 and 2.723,
.190 when x 600 and 3.992, .256 when x 750.
a. Explain why is larger when x750 than when x 600.
b. Calculate a con dence interval with a con dence level of 95% for the true average mass of all trees grown with a CO2 concentration of 600 ppm.
c. Calculate a prediction interval with a prediction level of 95% for the mass of a tree grown with a CO2 concentration of 600 ppm.
d. If a 95% CI is calculated for the true average mass when CO2 concentration is 750, what will be the simultaneous con dence level for both this interval and the interval calculated in part (b)?
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