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Chapter 3: Q.31 (page 163)

The figure below is a scatterplot of reading test scores against IQ test scores for 14fifth-grade children. There is one low outlier in the plot. The IQ and reading scores for this child are

(a) IQ=10, reading = 124.

(b) IQ=96, reading = 49.

(c)IQ=124, reading = 10.

(d) IQ=145, reading = 100.

(e) IQ=125, reading = 54.

Short Answer

Expert verified

Thus the correct answer is IQ=124, reading =10.

Step by step solution

01

Given information

Given in the question that, a scatterplot of reading test scores against IQ test scores for 14 fifth-grade children.

02

Explanation

A scatterplot of reading test results against IQtest scores for 14fifth-grade children is shown in the diagram. We can observe from the scatterplot that the point with an IQof 124and a reading of 10is an anomaly. This point deviates from the general pattern.

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Most popular questions from this chapter

The scatterplots below show four sets of real data:

(a) repeats the manatee plot in Figures

(b) shows the number of named tropical storms and the number predicted before the start of hurricane season each year between 1984and 2007by William Gray of Colorado State University;

(c) plots the healing rate in micrometers (millionths of a meter) per hour for the two front limbs of several newts in an experiment; and

(d) shows stock market performance in consecutive years over a 56-year period.

The scatterplot in (b) contains an outlier: the disastrous 2005season, which had 27named storms, including Hurricane Katrina. What effect would remove this point have on the correlation? Explain.

(a)

(b)

(c)

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Late bloomers? Japanese cherry trees tend to blossom early when spring weather is warm and later when spring weather is cool. Here are some data on the average March temperature (in °C) and the day in April when the first cherry blossom appeared over a 24-year period:

(a) Make a well-labeled scatterplot that’s suitable for predicting when the cherry trees will bloom from the temperature. Describe the direction, form, and strength of the relationship.

(b) Use technology to find the equation of the least-squares regression line. Interpret the slope and y the intercept of the line in this setting.

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(d) Find the residual for the year when the average March temperature was 4.5°C Show your work.

(e) Use technology to construct a residual plot. Describe what you see.

(f) Find and interpret the value of r2 and s in this setting.

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

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Make a graph that shows the distribution of weights of these diamonds. Describe the shape of the distribution and any outliers. Use numerical measures appropriate for the shape to describe the center and spread.

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