mth302 quiz3

Class width of the given data is defined as ratio of

Select correct option:

Range and number of values in the given data

Range and the number of classes

Range and mid point/value

None of these

For the regression line: Y= -X + 5, y-intercept is


-5

5

-1

1

For the regression line:Y= a+bX,'a' is the


Slope of the regression line

y-intercept

x-intercept

none of these

Different ways of organizing univariate categorical data are


The Summary Table

Bar and Pie Charts, the Pareto Diagram

Contingency Tables

Only option 1 & 2

The rate of change along the regression line is called


Linear regression

Non Linear regression

Slope

Curve

If the graph is very much scattered, then what can be the suitable value of r?


r = - 0.9

r = -0.5

r = 0.1

r = 0.8

In scatter diagram, clustering of points around a straight line indicates


a) Linear regression

b) Non-linear regression

c) Curvilinear linear regression

d) Both (a) and (b)

If the standard deviation of a population is 9, the population variance is


3

9

21.35

81

Which of the following is the better average?


arithmetic mean

geometric mean

harmonic mean

all above

FREQUENCY Function calculates how often values occur within a range of values.


True

False

Which of the following correlation coefficients represents the weakest correlation between two variables?


0.15

-0.15

0.02

-1.00

The frequency of the required class can be obtained from the cumulative frequency


by subtracting the cumulative frequency of the relative class from the next cumulative frequency

by subtracting the cumulative frequency of the relative class from the total frequency

by subtracting the cumulative frequency of the relative class from the previous cumulative frequency

None of these

If the value of r is 0.8 ,then the coefficient of determination is


67%

64%

80%

1

75%

If the dependent variable increases with the independent variable then the coefficient of correlation is


0 to -1

0 to – 0.5

0 to -2

0 to 1

In negatively skewed distribution the true relation is


A.M < MEDIAN < MODE

A.M > MEDIAN > MODE

A.M = MEDIAN = MODE None of these

The syntax intercept (known y’s, known x’s ) gives

Select correct option: a)x- intercept

b)y- intercept

c)Both (a) and (b) are same

d)None of these

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Trimmed mean is the mean of ....


The remaining data

The middle data

The data from last

None of these

A full…… is 360 degrees.


Parabola

Sphere

Circle

Cone

If actual value is 180 and trend is 150, the seasonal variation is


30

40

-30

-45

Ms. Faiza calculated a correlation coefficient of .75. Which of the following reflects the best interpretation of this?


Weak negative

Strong negative

Weak positive

Strong positive

A statistical measure of the variability of a distribution around its mean is referred to as


A probability distribution

The standard deviation

The expected return

Coefficient of variation

The equation of regression line is y + 5x = 0. What will be the intercept?


5

1

0

-5

A moving average is one of a family of similar techniques used to analyze


Time series data

Correlation dataRegression model

Fitting a curve

-------------- measures the strength of the linear relationship between the dependent and the independent variable.


Simple correlation coefficient

Distance value

Y intercept

Normal plot

Suppose we developed the following least squares regression equation: Y = 3.5 + 2.1X. Which of the following statements is correct?


2

The dependent variable increases 2.1 for an increase of 1 in X

The equation crosses the Y-axis at 3.

If X = 5, then Y =15.

X and Y are inversely proportional

The Marks of mathematics on weekly basis for three months Period Marks Moving Averages Month 1 Week 1 70 Week 2 60 ? Week 3 65 ? Month 2 Week 1 80 ? Week 2 82 ? Week 3 85 ? Month 3 Week 1 60 ? Week 2 75 ? Week 380 The Moving Averages will be ------------


65 68.3 75.7 82.3 75.7 73.3 71.7

65 70 75.7 82.3 71 72 71.7

65 71 73 82.3 75.7 73.3 71.7

65 68.3 70 72 73 73.3 71.7 If the data collected from a factory in three shifts; morning, afternoon and evening for four days. Then average of one day is known as Select correct option:

Moving Average

Weighted average

both

None

For a data, if mean > median then its distribution is Select correct option:

asymmetrical

symmetrical

left asymmetrical

right asymmetrical

The method of least squares finds the best fit line that _______ the error between observed & estimated points on the line. Select correct option:

a) maximises

b) minimizes

c) reduces to zero

d) choice # b & cThe probability of drawing any one spade card is Select correct option:

1/32

1/13

4/13

¼

Three year moving averages is


Arithmetic mean of 3 numbers continuously

Sum of 3 numbers continuously

Average of 3 fixed numbers

Sum of 3 fixed numbers

The price of wheat falls after the harvesting of crop and rise before the sowing time” Is an example of Select correct option:

Seasonal variation

Cyclical fluctuation

Secular trendNone of these

The following results were obtained from a simple regression analysis: y = 37.2895 - 1.2024 X r^2 = .6774 s = .2934 ____________ is the proportion of the variation explained by the simple linear regression model Select correct option:

-1.2024

0.6774

37.2895

0.2934When two dice are rolled together, the outcomes on the faces are Mutually exclusive. Select correct option:

True

FalseThe following results were obtained from a simple regression analysis: y = 37.2895 - 1.2024 X r^2 = .6774 s = .2934 ____________ is the proportion of the variation explained by the simple linear regression model Select correct option:

-1.2024

0.6774

37.2895

0.2934

How many words can be formed by using all letters of the word ‘LAHORE’? Select correct option:

120

320

520

720

The marketing manager of a company receives average10 complaint calls during a week .Suppose that the number of calls during a week follows the Poisson distribution. The probability that she gets five such calls in one day is: Select correct option:

3

(10^5e^-10)/5!

1-(10^5e^-10)/5!

10C5 * 0.55 * 0.55

None of these

Which of the following formula is correct? Select correct option:

=BINOMDIST( 7, 4, 0.5, FALSE )

=BINOMDIST( -4, 7, 1.5, FALSE )

=BINOMDIST( 4, -7, 1.5, FALSE )

=BINOMDIST( 4, 7, 0.5, FALSE )The Excel command CRITBINOM(trials,p,alpha) where n is the number of trials, p is the probability of success in trials, and alpha is the criterion value. If trials < 0 , then CRITBINOM returns #NUM! error.


True

FlaseWhen A and B are mutually exclusive, then P (A or B) = …..


P (A) - P (B)

P (A) + P (B)

P (A) * P (B)

P (A) / P (B)In how many ways a team of 4 players be chosen from a total 10 persons?


40

210

5040

None of theseThe sum of deviation of the observed values of Yi from the regression line is always equal to


1

0

-1

None If a = 2 , b = 1 , independent variable = 4 then dependent variable for an estimating regression line is


2

4

6

none of the given choicesThe sign of regression coefficient is associated with


variance of x

variance of y

co-variance of x and y

none of theseAll of the following are assumptions of the error terms in the simple linear regression model except


normality

error terms with a mean of zero

constant variance

variance of oneThe probability of any event must be between …...


Zero and one inclusive

-1 and one inclusive

Zero and -1 inclusive

Greater than 1

If in regression line Y on X the y intercept is zero then

Select correct option: The line is parallel to x-axis The line is parallel to y-axis Y is multiple of X None of these For two mutually exclusive

events A and B, P(A)= 0.3 and P(B)= 0.6 Then P(A or B)is

Select correct option: 0.8 0.7 0.9 None of these In standard normal distribution; Select correct option:

Mean = 1, Standard Deviation=0 Mean = 0, Standard Deviation=1 Mean = 1, Standard Deviation=1 Mean = 0, Standard Deviation=0

Evaluate 13C4? Select correct option:

4

615 715 815 None of these What is the range of probability

of any event? Select correct option: -1 to 0 -1 to 1 0 to 1 None of these The number of false fire alarms

in a suburb of London on averages 4 per day. Assuming that a Poisson distribution is appropriate, the probability that 3 false alarms will occur on a given day is given by

Select correct option: P(X=3 ) = (4^3e^-3)/4! P(X=3 ) =1- (4^3e^-3)/3! P(X=3 ) = (4^3e^-4)/3 P(X=3 ) =1- (4^3e^-4)/4! Exponential Smooth constant/

proportion of error Select correct option: Is positive always Negative between 0and 1 Lies None of these A scatter diagram: Select correct option: a) Is a graphic tool designed to

portray the relationship between variable.

b) Uses interval or ratio scale data.

c) Does not allow negative values.

d) Both a and b are correct If A={1,2,3,4},B={2,4,6} then

OR rule can be used to calculate P(A or B)

Select correct option: True False What is not a characteristic of

poisson distribution. Select correct option: Either/or situation.

mean number of successes per unit,m,known and fixed. p,chance unknown and large None of these. In the excel formulation for

Poisson distribution i-e "POISSON(x,mean,cumulative)", if X<0 then it returns to

Select correct option: TRUE FALSE #VALUE! #NUM! If the regression equation is

equal to 23.6 - 54.2X, then 23.6 is the _________ while -54.2 is the ________ of the regression line

Select correct option: slope, intercept intercept, slope slope, regression coefficient radius, intercept Which of the following formula

is correct? Select correct option: =BINOMDIST( 7, 4, 0.5,

FALSE ) =BINOMDIST( -4, 7, 1.5,

FALSE ) =BINOMDIST( 4, -7, 1.5,

FALSE ) =BINOMDIST( 4, 7, 0.5,

FALSE ) The moving averages represent

------------------ Select correct option: Time series variations Co-efficient of variations Statistical Dispersion Absolute deviation For mutually exclusive events A

and B Select correct option:

Probability of A intersection B > 0 Probability of A intersection B < 0 Probability of A intersection B = 0

None of these regression equation Y on X, if

slope is zero then regression equation is a straight line parallel to


5

X-axis Y-axis Y = X None of above In binomial distribution, the

experiment is repeated for Select correct option: Variable number of times Fixed number of times Many number of times None of these

Faulty apple toffees in a production line average out at 6 per box.The management is willing to replace one box in a hundred.What is the number of faulty toffees that this probabilty corresponds to?


20 18 13 None of these Is In the regression line Select correct option: The point (Xbar , Yabr) lies on

the regression line The point (Xbar , Yabr) doesn’t

lies on the regression line The point (Xbar,Yabr) lies on

origion always None of these None of these

None of these When a straight line is fitted to

time series data, it is called Select correct option: Linear equation Linear regression Linear trend Non-Linear equation The slope of the regression line

may be Select correct option: Positive Negative Zero All of these In given Qrtly, data the first step

in computing seasonal index is calculating:


4 qtr moving average. Discard highest and lowest

values. 4 qtr. Moving total. 3 qtr. moving average. If xm=4, ym=80, s(x)=sqrt2,

s(y)=2sqrt10 and r=0.8, then the regression is given by

Select correct option: y = 6x + 46 y = 16x - 64 y = 48x + 46 y = 8x + 48 The graph of time series is called Select correct option: Straight line Smooth Curve Parabola Histogram The moving averages of the

Prices 20, 30, 40, 50, 60 are Select correct option: 30, 40, 50 35, 45, 55 20, 40, 60 40, 40, 40

The ratio of the standard deviation of a distribution to the mean of that distribution is referred to as Select correct option: a probability distribution the expected return Coefficient of variation the standard deviation The estimated regression line of Y on X is Select correct option: Y` = a + bX X` = a + bY Y` = a - bX iv. None of above The value that occurs most frequently in the data is called….. Select correct option: Median Mode Mean Range

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In the arrangement of numbers,by following stem and leaf format a number say ‘27’ is located by taking Select correct option: 2 as its leaf and 7 as its stem 2 as its stem and 7 as its leaf 27 as its stem with nil leaf Nil as its stem 27 as a leaf If the estimating equation is Y = a – b X, which of the following is true Select correct option: The y intercept is b Slope of line is positive There is inverse relationship all of these Last year a small statistical consulting company paid each of its five statistical clerks $22,000, two statistical analysts $50,000 each, and the senior statistician/owner $270,000. The number of employees earning less than the mean salary is: Select correct option: 4 5 6 7 A data in which we study about income is called …… Select correct option: Qualitative Quantitative Geographical Chronological Standard deviation can be calculated by taking deviation from any measure of central tendency

Select correct option: True False The coefficient of variation for a set of annual incomes is 18%; the coefficient of variation for the length of service with the company is 29%. What does this indicate? Select correct option: More dispersion in the distribution of the incomes compared with the dispersion of their length of service

More dispersion in the lengths of service compared with income

Dispersion in the two distributions (income and service) cannot be compared using percents

Dispersions are equal Which method of trend analysis is useful for data not having a pronounced trend or seasonality? Select correct option: Multiplicative model Decomposition model Exponential smoothing method Trend analysis The sign of regression coefficient is associated with Select correct option: variance of x variance of y co-variance of x and y none of these The degree of steepness of a straight line is called Select correct option: orientation intercept slope skewness The minimum value of the correlation coefficient r can be Select correct option: -infinity 0 -1 1 Which of the following is the measure of central tendency? Select correct option: Arithmetic Mean Standard deviation Variance analysis None of these In EXCEL use the …………….function to calculate correlation Select correct option: COREL CORREL CORRELE

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CORRELATION Which of the following is true? Select correct option: Arithmetic Mean is based on all and Mode is on the middle values. Median based on most frequent value and mode on middle value. Arithmetic Mean is based on all and median on the middle value. None of these. Ogives are determines …………… at different values Select correct option: Frequency Frequency distribution The cumulative Frequency None of these The median of the numbers 2, 4, 7, 12 is

Select correct option: 4 5.5 7 There is no median for this data Under what conditions the Winsorized Mean is less than the Arithmetic Mean. Select correct option: If values below Q1 are less than Q1 and values above Q3 are less than Q3. If values below Q1 are greater than Q1 and values above Q3 are greater than Q3. If values below Q1 are less than Q1 and values above Q3 are greater than Q3. If values below Q1 are greater than Q1 and values above Q3 are less than Q3.

The intercept of a line passing through origin is Select correct option: finite positive zero does not exists Suppose we developed the following least squares regression equation: Y = 3.5 + 2.1X. Which of the following statements is correct? Select correct option: The dependent variable increases 2.1 for

an increase of 1 in X The equation crosses the Y-axis at 3. If X = 5, then Y =15. X and Y are inversely proportional When there is no linear correlation between two variables, what will the value of r be? Select correct option: -1 +1 0 a very small negative number In case of variance, for the sample, the sum of squares of the deviations is divided by Select correct option: One less the number of values in the population i-e (N-1) Exactly the number of values in the population i-e N One more the number of values in the population i-e (N+1) Two more the number of values in the population i-e (N+2) A relationship between variables that can be represented by a straight line equation is Select correct option: Non linear regression model Non linear equation Simple linear regression model Population regression model In more dispersed ( spread out) set of data Select correct option: Difference between mean and the median is greater value of the mode is greater inter-quartile range is smaller standard deviation is greater The median of the numbers 2, 4, 7, 12 is

Select correct option: 4 5.5 7 There is no median for this data

………use the division of a circle into different sectors. Select correct option: Line graph

8

Sector graphs Frequency Polygon Conversion Graphs

If Mean of X = 20.143 , Mean of Y = 6 , and Slope = 0.181176 Then intercept of the data is Select correct option: 4.51 3.45 2.35 3.58

The measurement of measure of degree of to which any two variables vary together is called Select correct option: a)Regression Coefficient b)Correlation c)Both (a) and (b) d)None of these

Analysis of Variance (ANOVA) is a test for equality of: Select correct option: variancesmeans proportions only two parameters

For some data you are given Maximum value = 96 , Minimum Value = 23 , Range = 73, number of classes selected between 5 and 15 Then class width will be Select correct option: 15 8

5 All options 1,2 ,3 are possibleIf strength of the association between X and Y is very weak, then r = ? Select correct option: r = - 1 r = 0 r = 1r = 2

The moving averages of the Prices 90,70,30,110 are Select correct option:

63.33, 7073.33, 8045.45, 6865.50, 75

Let, Variation (Y) = n*Sum(y^2) – [Sum(y)]^2 Variation (X) = n*Sum(x^2) – [Sum(x)]^2 Then, the following formula of slope b = {Sum(X*Y) – [ Sum(x)*Sum(y)] }/ Variation (Y) Select correct option: a)for the regression line Y on X

b)for the regression line X on Y c)Both (a) and (b)

d)None of these

A simple linear regression model is an equation that describes the straight-line relationship between a dependent variable and an independent variable. Select correct option: True

False

if the equation of regression line is y = 5, then what result will you take out from it? Select correct option: The line passes through origin.

The line passes through (5, 0)The line is parallel to y-axis.The line is parallel to x-axis.

Which of the following reveals the weakest fact. Select correct option: a) The measure of central tendency measures that value which depends only on the extreme values

b) The measure of central tendency measures that value in tha data which occurs in the data most frequent times.

c) The measure of central tendency measures the value which has tendency to lie in the central part of the data.

The measure of central tendency measures the distance of values from means Frequency polygon is ………… Select correct option:

9

Bar ChartsA line graphPareto ChatsNone of these

A bar graph uses ……to show data. Select correct option: Points

BarsLinesPictures

Geographical data deals with… Select correct option: Religion

HeightIncomeRegions

If the regression line: Y= 3+5X meets y-axis at ‘8’ units distance from origin then the value of x-intercept is Select correct option: -(3/5)

3/511/51

A data in which we study about Regions is called …… Select correct option:

QualitativeQuantitativeGeographicalChronological The regression equation should only usedSelect correct option: When there is significant linear correlation When there is significant mluticorrelation When there is significant quadratic correlation When there is significant simple correlation

In the central tendency Mean, Median and ModeSelect correct option: Mean is better than Median Median is better than Mode Mean is better than Mode All of these are true

The degree to which numerical data tend to spread about an average is calledSelect correct option: The dispersion Standard deviation Correlation None of these

…………..graphs are similar to bar graphs.Select correct option: column line conversion sector

A pattern of variation of a time series that repeats every year is called:Select correct option: Cyclical Seasonal Trend Secular

If the values of variables are increasing or decreasing in the same direction then such kind of correlation is referred asSelect correct option: Zero Correlation Perfect Correlation Positive Correlation Negative Correlation

The moving averages of the Prices 55,60,65,70 areSelect correct option: 70, 75 60, 65 65,65 70,60

The best measure of variation isSelect correct option: Range Quartile deviation Variance Coefficient of variance

In the scatter diagram, clustering of points around a straight line indicatesSelect correct option: linear regression non-linear regression curvilinear regression none of these

Ms. Christian calculated a correlation coefficient of .75. Which of the following reflects the best interpretation of this?Select correct option: Weak negative.

10

Strong negative. Weak positive. Strong positive.

Q1-if the equation of regression line is y = 5, then what result will you take out from it? Select correct option: The line passes through origin.The line passes through (5, 0)*doubtThe line is parallel to y-axis.The line is parallel to x-axis.

Sum of three terms whose mean is equal to 90 is Select correct option: 27030Also 90None of these

If the median of an arrangement of numbers is equal to the mean of its middle terms then the arrangement contains Select correct option: Odd number of termsEven number of termsUnlimited number of termsPrime numberIf the estimating equation is Y = a – b X, which of the following is true_ The y intercept is b_ Slope of line is positive_ There is inverse relationship_ There is direct relationship

An arrangement of data by successive time periods is called a___Exponential Smoothing___Time Series___Combination___Permutation

What variation does moving average method eliminate?___Seasonal___Cyclical___IrregularSecular trend

Frequency of occurrence is used in finding the__weighted mean___median___mode___variance

Which of the following describe the middle part of a group of numbers?Measures of central tendency_ measures of variability

_ measures of shape_ measures of association

If the value of r is zero then the graph of the data points showsevenly skewness_ positively scattered_ no associations_ negative associations

The minimum number of points required to calculate the intercept of a straightline is/are_ one_ two_ three_ one or theree

Coefficient of variation shows dispersion of thestandard deviation about mean._ standard deviation about mode._ variance about mean._ variance about mode

A regression equation was computed to be Y = 35 + 6X,the value of 35 indicates thatAn increase in one unit of X will result in an decrease of 35 in YThe coefficient of correlation is 35_ The coefficient of determination is 35The regression line crosses the Y-axis at 35

For what purpose is the method of least squares used on time-series data?_ It is used for eliminating irregular movements_ It is used for obtaining the trend equation._ It is used for deseasonalizing the data._ It is used for exponentially smoothing a series.

Which one of the following statements is not true?_ Correlation shows a degree of association between two variables._ You can make any predictions with results of correlation._ Correlation helps proceed further with regression analysis._ You can make Predictions on the base of regression equations.

If high or low numbers have a significant effect on a list of numbers, themaybe better than the mean._ mode

11

_ median_ range_ quartile

If many data points are close to the mean, then the standard deviation is_ 0_ Small_ Large_ Middle value

In a linear regression of y on x, y = a + bx,_ the variance of x is constant for all values of y_ a fitted straight line goes through (0, 0)_ Both variables have the same variance_ x is the explanatory variable

A ___________ graph gives a visual picture of how some wholequantity is being divided.barlinecirclehistogram

Which type of graph is the most useful for illustrating how dataare divided?bar graphline graphcircle graphpictorial graph

Which type of graph is best used to present a progression inhistorical data?bar graphline graphcircle graphpictorial graph

A pair of dice is thrown, the probability of getting a total of 5 or 11 is Select correct option: 1/5 1/7 1/6 1/8In negative binomial distribution, the probability of success, p Select correct option: Remains the same on every trial Remains constant for different outcomes Change on every trial None of these

If an event A is a proper subset of an event B then Probability of the event Select correct option: B is less than the event A A is equals the event B A is less than the event B None of these

An arrangement of all or some of a set of objects in a definite order is called Select correct option: Combination Permutation

In scatter diagram the dependent variable is plotted on the Select correct option: x-axis y-axisEquation of line having slope 0 and passing through the point A (0, 1) is Select correct option: Y =1 Y-1= X X=1 X-1= 2(Y+1)Probability of occurrence of an event A = -------- (Where X=Number of outcomes favorable to event A and n=total number of outcomes) Select correct option: nX n/X X/n None of theseIf the mean & standard deviation on an examination are ‘74’ & ‘12’ respectively and the grades ‘x=74’ then the scores (z) in standard units of students receiving are Select correct option: 0.8378 -0.8378 1 0What is the probability that a value chosen at random from a particular population is larger than the median of the population? Select correct option: 0.25 0.50 1.0 0.67

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If the value of any regression coefficient is zero, then two variables are Select correct option: dependent independent correlated none of theseIn a simple linear regression analysis, the correlation coefficient (r) and the slope (b1) have the same sign. Select correct option: Always Sometimes Never Most of the timesSignificant birth defects occur at a rate of about 4 per 1000 births in human populations. Which type of distribution can better deal with the above mentioned case? Select correct option: Binomial Distribution. Normal Distribution. Poisson Distribution. None of the above.

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mth302 quiz3

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