Numerous human characteristics are distributed as a skewed curve True False QUESTION 2Assuming a normal distribution, then 12.5% of scores fall above 1.25 standard deviation True False QUESTION 3A correlation coefficient of 0.43 represents a positive weak linear correlation. True False QUESTION 4When we use ϕ (Phi), we assume that at least one variable is ordinal. True False QUESTION 5A correlation coefficient of 0.89 represents a positive strong linear correlation. True False QUESTION 6If a correlation coefficient is close to 1, then the test is unreliable. True False QUESTION 7A correlation coefficient of - 0.51 represents a negative strong linear correlation. True False QUESTION 8If the distribution of paired scores is best represented by a curve, then the relationship is non-linear. True False QUESTION 9As the value of decreases, the proportion of variability decreases. True False QUESTION 10If r = - 0.9, then the coefficient of determination (proportion of variance) = QUESTION 11If r = - 0.24 between two variables x and y, then the variability of y can be explained in terms of x = QUESTION 12If r = 0.3, then the coefficient of determination (proportion of variance) = QUESTION 13If r = - 0.3, then the coefficient of determination (proportion of variance) = QUESTION 14If r = - 0.92 between two variables x and y, then the variability of y can be explained in terms of x = QUESTION 15If r = - 0.85 between two variables x and y, then the variability of y can be explained in terms of x = QUESTION 16In a normal adult population, a blood sugar level has a mean of 12 and a standard deviation of 2. What standard score would cut off the lowest 6.68% of scores? QUESTION 17A group of patients has a mean height of 160 cm and a standard deviation of 10 cm. What score would cut off the highest 50% of scores? QUESTION 18A group of patients has a mean height of 160 cm and a standard deviation of 10 cm. The proportion of scores which lie between 154 cm and 167 cm is: QUESTION 19A group of patients has a mean weight of 78 kg, with a standard deviation of 8 kg. You are told that a patient’s weight is 2 standard deviations below the mean. What is this patient’s weight? 62 86 80 76 QUESTION 20A group of patients has a mean weight of 85 kg, with a standard deviation of 15 kg. You are told that a patient’s weight is three standard deviations below the mean. What is this patient’s weight? 55 kg 130 kg 40 kg 45 kg QUESTION 21The correlation coefficient appropriate for establishing the degree of association between the two variables ‘Gender’ and the ‘Blood Group’ is (Eta) r (rho) QUESTION 22If the correlation coefficient between the variables ‘amount of exercise’ and ‘incidence of heart disease’ is – 0.9, which of the following statements is true?. 90% of ‘ incidence of heart disease’ scores are explained in terms of ‘amount of exercise’ scores. 81% of ‘incidence of heart disease’ scores are explained in terms of ‘amount of exercise’ scores. 81% of ‘amount of exercise’ scores are explained in terms of ‘incidence of heart disease’ scores. 90% of ‘amount of exercise’ scores are explained in terms of ‘incidence of heart disease’ scores. QUESTION 23It was demonstrated a correlation of – 0.87 between body weight and IQ. This means that: People with low IQs are likely to be overweight. Heavy people have higher IQs than light people. Obesity decreases intelligence. Light people have lower IQs than heavy people. QUESTION 24Which of the following statements is false? Spearman’s () is used when one or both variables are at least nominal. A correlation of r = - 0.75 implies a stronger association than r = 0.64. In a perfect positive correlation, each individual obtains the same z score on each variable. The range of the correlation coefficient is from – 1 to 1. QUESTION 25We find that the correlation coefficient representing the outcome for the predictive validity of a test is r = 0.57. Such finding would indicate that the test had: High predictive validity. Acceptable predictive validity. Low predictive validity.

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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QUESTION 2

Assuming a normal distribution, then 12.5% of scores fall above 1.25 standard deviation

True

False

QUESTION 3

A correlation coefficient of 0.43 represents a positive weak linear correlation.

True

False

QUESTION 4

When we use ϕ (Phi), we assume that at least one variable is ordinal.

True

False

QUESTION 5

A correlation coefficient of 0.89 represents a positive strong linear correlation.

True

False

QUESTION 6

If a correlation coefficient is close to 1, then the test is unreliable.

True

False

QUESTION 7

A correlation coefficient of - 0.51 represents a negative strong linear correlation.

True

False

QUESTION 8

If the distribution of paired scores is best represented by a curve, then the relationship is non-linear.

True

False

QUESTION 9

As the value of decreases, the proportion of variability decreases.

True

False

QUESTION 10

If r = - 0.9, then the coefficient of determination (proportion of variance) =

QUESTION 11

If r = - 0.24 between two variables x and y, then the variability of y can be explained in terms of x =

QUESTION 12

If r = 0.3, then the coefficient of determination (proportion of variance) =

QUESTION 13

If r = - 0.3, then the coefficient of determination (proportion of variance) =

QUESTION 14

If r = - 0.92 between two variables x and y, then the variability of y can be explained in terms of x =

QUESTION 15

If r = - 0.85 between two variables x and y, then the variability of y can be explained in terms of x =

QUESTION 16

In a normal adult population, a blood sugar level has a mean of 12 and a standard deviation of 2.

What standard score would cut off the lowest 6.68% of scores?

QUESTION 17

A group of patients has a mean height of 160 cm and a standard deviation of 10 cm.

What score would cut off the highest 50% of scores?

QUESTION 18

A group of patients has a mean height of 160 cm and a standard deviation of 10 cm.

The proportion of scores which lie between 154 cm and 167 cm is:

QUESTION 19

A group of patients has a mean weight of 78 kg, with a standard deviation of 8 kg. You are told that a patient’s weight is 2 standard deviations below the mean. What is this patient’s weight?

62

86

80

76

QUESTION 20

A group of patients has a mean weight of 85 kg, with a standard deviation of 15 kg. You are told that a patient’s weight is three standard deviations below the mean. What is this patient’s weight?

55 kg

130 kg

40 kg

45 kg

QUESTION 21

The correlation coefficient appropriate for establishing the degree of association between the two variables ‘Gender’ and the ‘Blood Group’ is

(Eta)

r

(rho)

QUESTION 22

If the correlation coefficient between the variables ‘amount of exercise’ and ‘incidence of heart disease’ is – 0.9, which of the following statements is true?.

		90% of ‘ incidence of heart disease’ scores are explained in terms of ‘amount of exercise’ scores.
		81% of ‘incidence of heart disease’ scores are explained in terms of ‘amount of exercise’ scores.
		81% of ‘amount of exercise’ scores are explained in terms of ‘incidence of heart disease’ scores.
		90% of ‘amount of exercise’ scores are explained in terms of ‘incidence of heart disease’ scores.

QUESTION 23

It was demonstrated a correlation of – 0.87 between body weight and IQ. This means that:

		People with low IQs are likely to be overweight.
		Heavy people have higher IQs than light people.
		Obesity decreases intelligence.
		Light people have lower IQs than heavy people.

QUESTION 24

Which of the following statements is false?

		Spearman’s () is used when one or both variables are at least nominal.
		A correlation of r = - 0.75 implies a stronger association than r = 0.64.
		In a perfect positive correlation, each individual obtains the same z score on each variable.
		The range of the correlation coefficient is from – 1 to 1.

QUESTION 25

We find that the correlation coefficient representing the outcome for the predictive validity of a test is r = 0.57. Such finding would indicate that the test had:

High predictive validity.

Acceptable predictive validity.

Low predictive validity.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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		High predictive validity.
		Acceptable predictive validity.
		Low predictive validity.

		*(Eta)*

		r
		*(rho)*

QUESTION 3 A correlation coefficient of 0.43 represents a positive weak linear correlation. True False