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Question :
SHORT ANSWER. Write the word or phrase that best completes : 1748858

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

10) In a study of feeding behavior, zoologists recorded the number of grunts of a warthog feeding by a lake in the 15 minute period following the addition of food. The data showing the number of grunts and the age of the warthog (in days) are listed below:

Number of Grunts Age (days)

115 143

93 159

64 173

69 178

88 185

65 192

87 201

42 207

47 213

a. Find *SSE*, *s*^{2}, and *s*.

b. Interpret the value of *s*.

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

11) A county real estate appraiser wants to develop a statistical model to predict the appraised value of houses in a section of the county called East Meadow. One of the many variables thought to be an important predictor of appraised value is the number of rooms in the house. Consequently, the appraiser decided to fit the simple linear regression model:

*E*(*y*) = *β*0 + *β*1*x*,

where y = appraised value of the house (in thousands of dollars) and *x *= number of rooms. Using data collected for a sample of *n *= 74 houses in East Meadow, the following results were obtained:

*y*^ = 74.80 + 19.72*x*

Give a practical interpretation of the estimate of *σ*, the standard deviation of the random error term in the model.

A) We expect to predict the appraised value of an East Meadow house to within about $58,000 of its true value.

B) We expect to predict the appraised value of an East Meadow house to within about $29,000 of its true value.

C) We expect 95% of the observed appraised values to lie on the least squares line.

D) About 29% of the total variation in the sample of *y*-values can be explained by the linear relationship between appraised value and number of rooms.

12) The dean of the Business School at a small Florida college wishes to determine whether the grade -point average (GPA) of a graduating student can be used to predict the graduate's starting salary. More specifically, the dean wants to know whether higher GPAs lead to higher starting salaries. Records for 23 of last year's Business School graduates are selected at random, and data on GPA (*x*) and starting salary (*y*, in $thousands) for each graduate were used to fit the model

*E*(*y*) = *β*_{0} + *β*_{1}*x*

The results of the simple linear regression are provided below.

*y*^ = 4.25 + 2.75*x*, *SS*_{x}_{y} = 5.15, *SS*_{xx}* *= 1.87

*SS*_{yy}* *= 15.17, *SSE *= 1.0075

Compute an estimate of *σ*, the standard deviation of the random error term.

A) 0.219 B) 1.0075 C) .689 D) .048

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

13) Is the number of games won by a major league baseball team in a season related to the team's batting average? Data from 14 teams were collected and the summary statistics yield:

*y *= Σ 1,134, *x *Σ = 3.642, *y*2Σ = 93,110, *x*2Σ = .948622, and Σ*xy *= 295.54

Assume *β*^1 = 455.27. Estimate and interpret the estimate of *σ*.