55. Bird colonies Refer to Exercise 53.
(a) Use your calculator to make a residual plot. Describe what this graph tells you about how well the line fits the data.
(b) Which point has the largest residual? Explain what this residual means in context.

Short Answer

Expert verified

(a) The data does not appear to have any distinct patterns, and the regression line looks to be a good fit for the data.

(b) The largest residual point is(66,6)

Step by step solution

01

Part (a) Step 1: Given information

By using the calculator to make a residual plot. To plot a graph to check the line fits the data.

02

Part (a) Step 2: Explanation

Residuals are on the vertical axis and percent returns are on the horizontal axis, representing the difference between actual and expected levels.

In other words, there does not appear to be any distinctive pattern in the data, and the regression line appears to fit the data nicely.

03

Part (b) Step 1: Concept introduction

The residual value refers to the part of the variability in a dependent variable fragment that remains after the forecasters have taken account of the variability described in the study.

04

Part (b) Step 2: Explanation 

Predicted values and residuals are presented in the table as follows:

Percent return (X)
New adults (Y)
Predicted Y (Y)
Residuals (Y-Y)
74
5
9.43656125
-4.43656125
66
6
11.86874481
-5.868744811
81
8
7.308400634
0.691599366
52
11
16.12506604
-5.125066043
73
12
9.740584195
2.259415805
62
15
13.08483659
1.915163409
52
16
16.12506604
-0.125066043
45
17
18.25322666
-1.253226659
62
18
13.08483659
4.915163409
46
18
17.94920371
0.050796287
60
19
13.69288248
5.307117518
46
20
17.94920371
2.050796287
38
20
20.38138727
-0.381387275

Due to its large deviation from a line, the point (66,6)has the largest residuals. This makes it an outlier in the above table.

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Most popular questions from this chapter

In a scatterplot of the average price of a barrel of oil and the average retail price of a gallon of gas, you expect to see.

(a) very little association.

(b) a weak negative association.

(c) a strong negative association.

(d) a weak positive association.

(e) a strong positive association.

Born to be old? Is there a relationship between the gestational period (time from conception to birth) of an animal and its average life span? The figure shows a scatterplot of the gestational period and average life span for 43 species of animals.

(a) Describe the direction, form, and strength of the scatterplot.

(b) Three “unusual” points are labeled on the graph: Point A is for the hippopotamus, Point B is for the giraffe, and Point C is for the Asian elephant. In what way is each of these animals “unusual”?

How much gas? Refer to Exercise 40. Would it be appropriate to use the regression line to predict Joan’s natural-gas consumption in a future month with an average temperature of 65°F? Justify your answer

Interpret the value of this subject’s residual in context.

The graph at the top right plots the gas mileage (miles per gallon) of various cars from the same model year versus the weight of these cars in thousands of pounds. The points marked with red dots correspond to cars made in Japan. From this plot, we may conclude that

(a) there is a positive association between weight and gas mileage for Japanese cars.

(b) the correlation between weight and gas mileage for all the cars is close to 1.

(c) there is little difference between Japanese cars and cars made in other countries.

(d) Japanese cars tend to be lighter in weight than other cars.

(e) Japanese cars tend to get worse gas mileage than other cars.

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