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Chapter 12: Q.1.4 (page 777)

Based on the residual plot, do you expect your prediction to be too high or too low? Justify your answer.

Short Answer

Expert verified

Our predictions will be too low.

Step by step solution

01

Given Information

02

Explanation

Based on the residual plot given in this question we can say that the points are first increasing and then it start decreasing in the year ahead. Thus, in the year 1890, we expected the prediction to be too low as the last point in the residual plot is too low so our prediction will be if the same trend follows.

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Most popular questions from this chapter

Determining tree biomass It is easy to measure the 鈥渄iameter at breast height鈥� of a tree. It鈥檚 hard to measure the total 鈥渁boveground biomass鈥� of a tree, because to do this you must cut and weigh the tree. The biomass is important for studies of ecology, so ecologists commonly estimate it using a power model. Combining data on 378trees in tropical rain forests gives this relationship between biomass y measured in kilograms and diameter x measured in centimeters:

lny^=-2.00+2.42lnx

Random assignment is part of a well-designed comparative experiment because

(a) It is more fair to the subjects.

(b) It helps create roughly equivalent groups before treatments are imposed on the subjects.

(c) It allows researchers to generalize the results of their experiment to a larger population.

(d) It helps eliminate any possibility of bias in the experiment.

(e) It prevents the placebo effect from occurring

Which of the following is not one of the conditions that must be satisfied in order to perform inference about the slope of a least-squares regression line? (a) For each value of x, the population of y-values is Normally distributed.

(b) The standard deviation 蟽of the population of y-values corresponding to a particular value of x is always the same, regardless of the specific value of x. (c) The sample size鈥攖hat is, the number of paired observations (x, y)鈥攅xceeds 30.

(d) There exists a straight line y=伪+尾xsuch that, for each value of x, the mean 渭yof the corresponding population of y-values lies on that straight line.

(e) The data come from a random sample or a randomized experiment.

The previous Check Your Understanding (page 750) described some results from a study of body weights and backpack weights. Here, again, is the Minitab output from the least-squares regression analysis for these data.

1. Do these data provide convincing evidence of a linear relationship between pack weight and body weight in the population of ninth-grade students at the school? Carry out a test at the a=0.05significance level. Assume that the conditions for regression inference are met.

A 95%confidence interval for the population slope 尾is

(a) 1.0466卤149.5706.

(b) 1.0466卤0.2415.

(c) 1.0466卤0.2387.

(d) 1.0466卤0.1983.

(e) 1.0466卤0.1126.
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