Statistics for the Behavioral Sciences
Statistics for the Behavioral Sciences
3rd Edition
ISBN: 9781506386256
Author: Gregory J. Privitera
Publisher: SAGE Publications, Inc
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Chapter 16, Problem 16CAP

1.

To determine

Identify the predictor variable in the description.

2.

To determine

Explain the direction of this relationship in words.

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The following table shows the length, in centimeters, of the humerus and the total wingspan, in centimeters, of several pterosaurs, which are extinct flying reptiles. (A graphing calculator is recommended.) (a) Find the equation of the least-squares regression line for the data. (Where × is the independent variable.) Round constants to the nearest hundredth. y= ? (b) Use the equation from part (a) to determine, to the nearest centimeter, the projected wingspan of a pterosaur if its humerus is 52 centimeters. ? cm
In a statistics course, a linear regression equation was computed to predict the final exam score from the score on the midterm exam. The equation of the least‑squares regression line was ?̂ =10+0.9?, where ?y represents the final exam score and ?x is the midterm exam score. Suppose Joe scores an 80 on the midterm exam. What would be the predicted value of his score on the final exam?
The following model was fitted to a sample of 30 families in order to explain household milk consumption:y = b0 + b1x1 + b2x2 + ε wherey = milk consumption, in quarts per weekx1 = weekly income, in hundreds of dollarsx2 = family sizeThe least squares estimates of the regression parameters were as follows:b0 = -0.025 b1 = 0.052 b2 = 1.14Predict the weekly milk consumption of a family of four with an income of $600 per week.
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