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Exam 14: Regression Analysis

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Question 1

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When Y decreases by one unit for each equal unit increase in X, then

A) the intercept value will be negative
B) the slope value will be negative
C) the correlation value will be positive
D) both a and b, but not c

E) A) and B)
F) A) and D)

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Question 2

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When all the points in a scatter plot lie directly on the regression line of Y and X, then

A) X has caused Y
B) the correlation must equal 0
C) the correlation cannot be calculated
D) the correlation must equal +1.00

E) A) and B)
F) C) and D)

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Question 3

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For questions below, use the following: A group of 8 elementary school students was randomly selected . Each pupil was tested on both Math Ability and Spelling Ability. Their scores were: $\begin{array} { c c c } \text { Subject } & \text { Math Test } & \text { Spelling Test } \\1 & 14 & 15 \\2 & 12 & 10 \\3 & 3 & 2 \\4 & 9 & 10 \\5 & 8 & 7 \\6 & 5 & 6 \\7 & 10 & 9 \\8 & 2 & 4\end{array}$ -Find the .99 confidence interval for the predicted Y scores.

The value of the standard error of estimate may never be greater than

The regression line is the single straight line which passes through most of the data points on a scatter plot.

For the Pearson r, rejecting Ho means that the obtained correlation does exist in the population.

In the regression of Y on X, when the Pearson r equals 1.00, so too must the slope value equal 1.00

In a four-variable correlation, when two variables are held constant, while examining the remaining relationship between the other two, the technique is referred to as

For questions below, use the following: A group of 8 elementary school students was randomly selected . Each pupil was tested on both Math Ability and Spelling Ability. Their scores were: $\begin{array} { c c c } \text { Subject } & \text { Math Test } & \text { Spelling Test } \\1 & 14 & 15 \\2 & 12 & 10 \\3 & 3 & 2 \\4 & 9 & 10 \\5 & 8 & 7 \\6 & 5 & 6 \\7 & 10 & 9 \\8 & 2 & 4\end{array}$ -Find the .95 confidence interval for the predicted Y scores.

The resulting correlation between two or more predictor variables and a criterion variable is called the multiple R.

The major goal of correlational research is to

The regression line

The higher the correlation between X and Y

When the correlation in a sample is found to be significant, then it is assumed that

In order to obtain significance for the Pearson r, Ho must be rejected.

When predicting a student's GPA on the basis of the Verbal SAT score, the regression line was equal to .01X + .10. This means that there was

Use the following: Assume a significant XY correlation of .85 and a sample size of 30. The mean of X equals 800.00, and the mean of Y equals 20.00. The estimated sd of X equals 75.00, and the estimated sd of Y equals 3.70. -Predict a Y value for a known X value 1100.00.

When predicting a student's GPA on the basis of the Verbal SAT score, the regression line was equal to .01X + .10. This means that there was

For questions below , use the following: A researcher selects a random sample of 8 high school students. Each student is tested on both Need Achievement and Mechanical Aptitude. The scores were: $\begin{array} { c c c } \text { Subject } & \text { Need Achievement } & \text { Mechanical Aptitude } \\1 & 12 & 10 \\2 & 2 & 3 \\3 & 5 & 7 \\4 & 9 & 5 \\5 & 11 & 9 \\6 & 10 & 8 \\7 & 4 & 6 \\8 & 1 & 3\end{array}$ -Find the standard error of estimate.

Whenever the value of the correlation is negative