Question Tag: Correlation

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QTB – Nov 2014 – L1 – SB – Q5a – Statistics

Calculate the Spearman's rank correlation coefficient between the scores in two subjects and interpret the result.

Question

A business school preparing candidates for professional examinations conducted a mock examination to ascertain the level of preparedness of its candidates in two subjects: Quantitative Techniques in Business (QTB) and Management Information (MI). The table below gives the scores of twelve selected candidates.

Candidates	1	2	3	4	5	6	7	8	9	10	11	12
Score in QTB (x)	35	77	95	28	76	80	90	62	39	65	90	37
Score in MI (y)	50	82	89	58	65	61	84	59	48	53	80	52

Required:
i. Calculate the Spearman’s rank correlation coefficient between $x$ and $y$ . (9 Marks)
ii. Comment on the result in (i) above. (1 Mark)

Answer

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Tags: Correlation, Mock Examination Scores, Spearman’s Rank
Level: Level 1

Topic: Statistics
Series: NOV 2014

QTB – May 2017 – L1 – SB – Q3b – Data Collection Analysis

Find the regression equation between QTB and FA marks and estimate values.

Question

The table below gives the scores of seven candidates in Quantitative Techniques in Business (QTB) and Financial Accounting (FA) of ICAN Professional Examination:

QTB Marks (y)	50	72	36	64	52	56	80
FA Marks (x)	38	51	19	53	39	38	66

You are required to:
i. Obtain the regression equation if the mark in QTB is regressed on FA. (6 Marks)

ii. Obtain the estimate of mark in QTB, if the mark in FA is 60. (2 Marks)

iii. Obtain the estimate of mark in FA, if the mark in QTB is 75. (2 Marks)

Answer

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Tags: Correlation, Estimation, Regression Equation
Level: Level 1

Topic: Data Collection Analysis
Series: MAY 2017

QTB – May 2017 – L1 – SA – Q17 – Statistics

This question checks the range of values for the correlation coefficient r.

Question

If $r$ is the correlation coefficient calculated for a bivariate data, then which one of the following is correct?

A. $1$
B.
C.
D.
E.

Answer

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Tags: Bivariate Data, Business Statistics, Correlation
Level: Level 1

Topic: Statistics
Series: MAY 2017

QTB – MAY 2016 – L1 – SA – Q16 – Statistics

Identify the statistical measure used to determine the degree of association between variables

Question

Which of the following is used to measure the degree of association between two variables?

A. Regression

B. Percentiles

C. Quartiles

D. Correlation E. Coefficient of variation

Answer

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Tags: Correlation, Regression, Statistical Analysis
Level: Level 1

Topic: Statistics
Series: MAY 2016

QTB – Nov 2015 – L1 – SA – Q14 – Statistics

This question asks for the type of correlation exhibited in a scatter plot where the price and quantity have a downward trend.

Question

The scatter plot depicting the association that exists between the price of an item and the quantity supplied is such that all the points fall on a straight line and their movement is in a downward trend. This type of correlation exhibited in the graph is known as:

A. Perfect positive
B. Positive
C. Perfect negative
D. Negative
E. Zero

Answer

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Tags: Correlation, Negative Correlation, Scatter Plot
Level: Level 1

Topic: Statistics
Series: NOV 2015

QTB – Nov 2015 – L1 – SA – Q12 – Statistics

This question asks for the measure that explains how well the regression line fits the data.

Question

The measure that explains how well the regression line fits a set of data on daily sales of a product is known as coefficient of:

A. Rank Correlation
B. Product-Moment Correlation
C. Determination
D. Variation
E. Linear Regression

Answer

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Tags: Coefficient of Determination, Correlation, Regression Line
Level: Level 1

Topic: Statistics
Series: NOV 2015

QTB – May 2015 – L1 – SA – Q10 – Statistics

Calculating Spearman’s rank correlation between price and age of cars.

Question

The following values are computed from a set of bivariate data relating the price and age of 12 selected cars from a car dealer shop as where $d_{i}$ is the difference between ranks of price and age of cars. The computed Spearman’s rank correlation coefficient between the price and age of the car is:

A. -0.4545
B. -0.3535
C. 0.0000
D. 0.3535
E. 0.4545

Answer

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Tags: Bivariate Data, Correlation, Spearman’s Rank Correlation
Level: Level 1

Topic: Statistics
Series: MAY 2015

QT – May 2016 – L1 – Q6b – Data Collection | Measures of Central Tendency

Compute the sample mean, variance, standard deviation, covariance, and correlation for the given data.

Question

b) Use the sample data below to answer the following questions:

Required:
i) Calculate the sample mean, variance, and standard deviation for . (5 marks)
ii) Calculate the sample mean, variance, and standard deviation for $Y$ . (5 marks)
iii) Calculate the sample covariance between and . (3 marks)
iv) Calculate the sample correlation between and $Y$ . (3 marks)

Answer

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Tags: Correlation, Covariance, Sample Mean, Standard Deviation, Variance
Level: Level 1

Topic: Data Collection, Measures of Central Tendency
Series: MAY 2016

QT – May 2018 – L1 – Q7b – Forecasting

Calculate Pearson and Spearman correlation coefficients for production cost and output data.

Question

The secretariat of an association of industries gathered the following data from a random sample of member firms that produce similar products:

Required:
i) Compute the Pearson’s product moment correlation coefficient for the data. (6 marks)
ii) Hence, compute the coefficient of determination. (2 marks)
iii) Comment on your answer in (ii). (2 marks)
iv) Compute Spearman’s rank correlation coefficient for the data and comment on your answer. (8 marks)

Answer

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Tags: Coefficient of Determination, Correlation, Pearson Correlation, Ranking, Spearman Correlation
Level: Level 1

Topic: Forecasting
Series: MAY 2018

QT – May 2018 – L1 – Q7a – Forecasting

Sketch scatter graphs for perfect positive and negative correlation.

Question

Sketch a scatter graph for two variables (dependent and independent variables) that represents:
i) Perfect positive correlation between the variables. (1 mark)
ii) Perfect negative correlation between the variables. (1 mark)

Answer

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Tags: Correlation, Negative Correlation, Positive Correlation, Scatter Plot
Level: Level 1

Topic: Forecasting
Series: MAY 2018

QTB – Nov 2014 – L1 – SB – Q5a – Statistics

Calculate the Spearman's rank correlation coefficient between the scores in two subjects and interpret the result.

Question

Candidates	1	2	3	4	5	6	7	8	9	10	11	12
Score in QTB (x)	35	77	95	28	76	80	90	62	39	65	90	37
Score in MI (y)	50	82	89	58	65	61	84	59	48	53	80	52

Required:
i. Calculate the Spearman’s rank correlation coefficient between $x$ and $y$ . (9 Marks)
ii. Comment on the result in (i) above. (1 Mark)

Answer

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Tags: Correlation, Mock Examination Scores, Spearman’s Rank
Level: Level 1

Topic: Statistics
Series: NOV 2014

QTB – May 2017 – L1 – SB – Q3b – Data Collection Analysis

Find the regression equation between QTB and FA marks and estimate values.

Question

The table below gives the scores of seven candidates in Quantitative Techniques in Business (QTB) and Financial Accounting (FA) of ICAN Professional Examination:

QTB Marks (y)	50	72	36	64	52	56	80
FA Marks (x)	38	51	19	53	39	38	66

You are required to:
i. Obtain the regression equation if the mark in QTB is regressed on FA. (6 Marks)

ii. Obtain the estimate of mark in QTB, if the mark in FA is 60. (2 Marks)

iii. Obtain the estimate of mark in FA, if the mark in QTB is 75. (2 Marks)

Answer

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Tags: Correlation, Estimation, Regression Equation
Level: Level 1

Topic: Data Collection Analysis
Series: MAY 2017

QTB – May 2017 – L1 – SA – Q17 – Statistics

This question checks the range of values for the correlation coefficient r.

Question

If $r$ is the correlation coefficient calculated for a bivariate data, then which one of the following is correct?

A. $1$
B.
C.
D.
E.

Answer

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Tags: Bivariate Data, Business Statistics, Correlation
Level: Level 1

Topic: Statistics
Series: MAY 2017

QTB – MAY 2016 – L1 – SA – Q16 – Statistics

Identify the statistical measure used to determine the degree of association between variables

Question

Which of the following is used to measure the degree of association between two variables?

A. Regression

B. Percentiles

C. Quartiles

D. Correlation E. Coefficient of variation

Answer

Find Related Questions by Tags, levels, etc.

Tags: Correlation, Regression, Statistical Analysis
Level: Level 1

Topic: Statistics
Series: MAY 2016

QTB – Nov 2015 – L1 – SA – Q14 – Statistics

This question asks for the type of correlation exhibited in a scatter plot where the price and quantity have a downward trend.

Question

A. Perfect positive
B. Positive
C. Perfect negative
D. Negative
E. Zero

Answer

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Tags: Correlation, Negative Correlation, Scatter Plot
Level: Level 1

Topic: Statistics
Series: NOV 2015

QTB – Nov 2015 – L1 – SA – Q12 – Statistics

This question asks for the measure that explains how well the regression line fits the data.

Question

The measure that explains how well the regression line fits a set of data on daily sales of a product is known as coefficient of:

A. Rank Correlation
B. Product-Moment Correlation
C. Determination
D. Variation
E. Linear Regression

Answer

Find Related Questions by Tags, levels, etc.

Tags: Coefficient of Determination, Correlation, Regression Line
Level: Level 1

Topic: Statistics
Series: NOV 2015

QTB – May 2015 – L1 – SA – Q10 – Statistics

Calculating Spearman’s rank correlation between price and age of cars.

Question

A. -0.4545
B. -0.3535
C. 0.0000
D. 0.3535
E. 0.4545

Answer

Find Related Questions by Tags, levels, etc.

Tags: Bivariate Data, Correlation, Spearman’s Rank Correlation
Level: Level 1

Topic: Statistics
Series: MAY 2015

QT – May 2016 – L1 – Q6b – Data Collection | Measures of Central Tendency

Compute the sample mean, variance, standard deviation, covariance, and correlation for the given data.

Question

b) Use the sample data below to answer the following questions:

Answer

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Tags: Correlation, Covariance, Sample Mean, Standard Deviation, Variance
Level: Level 1

Topic: Data Collection, Measures of Central Tendency
Series: MAY 2016

QT – May 2018 – L1 – Q7b – Forecasting

Calculate Pearson and Spearman correlation coefficients for production cost and output data.

Question

The secretariat of an association of industries gathered the following data from a random sample of member firms that produce similar products:

Answer

Find Related Questions by Tags, levels, etc.

Tags: Coefficient of Determination, Correlation, Pearson Correlation, Ranking, Spearman Correlation
Level: Level 1

Topic: Forecasting
Series: MAY 2018

QT – May 2018 – L1 – Q7a – Forecasting

Sketch scatter graphs for perfect positive and negative correlation.

Question

Answer

Find Related Questions by Tags, levels, etc.

Tags: Correlation, Negative Correlation, Positive Correlation, Scatter Plot
Level: Level 1

Topic: Forecasting
Series: MAY 2018

Question Tag: Correlation

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QTB – Nov 2014 – L1 – SB – Q5a – Statistics

Calculate the Spearman's rank correlation coefficient between the scores in two subjects and interpret the result.

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QTB – May 2017 – L1 – SB – Q3b – Data Collection Analysis

Find the regression equation between QTB and FA marks and estimate values.

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QTB – May 2017 – L1 – SA – Q17 – Statistics

This question checks the range of values for the correlation coefficient r.

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QTB – MAY 2016 – L1 – SA – Q16 – Statistics

Identify the statistical measure used to determine the degree of association between variables

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QTB – Nov 2015 – L1 – SA – Q14 – Statistics

This question asks for the type of correlation exhibited in a scatter plot where the price and quantity have a downward trend.

You're reporting an error for "QTB – Nov 2015 – L1 – SA – Q14 – Statistics"

QTB – Nov 2015 – L1 – SA – Q12 – Statistics

This question asks for the measure that explains how well the regression line fits the data.

You're reporting an error for "QTB – Nov 2015 – L1 – SA – Q12 – Statistics"

QTB – May 2015 – L1 – SA – Q10 – Statistics

Calculating Spearman’s rank correlation between price and age of cars.

You're reporting an error for "QTB – May 2015 – L1 – SA – Q10 – Statistics"

QT – May 2016 – L1 – Q6b – Data Collection | Measures of Central Tendency

Compute the sample mean, variance, standard deviation, covariance, and correlation for the given data.

You're reporting an error for "QT – May 2016 – L1 – Q6b – Data Collection | Measures of Central Tendency"

QT – May 2018 – L1 – Q7b – Forecasting

Calculate Pearson and Spearman correlation coefficients for production cost and output data.

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QT – May 2018 – L1 – Q7a – Forecasting

Sketch scatter graphs for perfect positive and negative correlation.

You're reporting an error for "QT – May 2018 – L1 – Q7a – Forecasting"

QTB – Nov 2014 – L1 – SB – Q5a – Statistics

Calculate the Spearman's rank correlation coefficient between the scores in two subjects and interpret the result.

You're reporting an error for "QTB – Nov 2014 – L1 – SB – Q5a – Statistics"

QTB – May 2017 – L1 – SB – Q3b – Data Collection Analysis

Find the regression equation between QTB and FA marks and estimate values.

You're reporting an error for "QTB – May 2017 – L1 – SB – Q3b – Data Collection Analysis"

QTB – May 2017 – L1 – SA – Q17 – Statistics

This question checks the range of values for the correlation coefficient r.

You're reporting an error for "QTB – May 2017 – L1 – SA – Q17 – Statistics"

QTB – MAY 2016 – L1 – SA – Q16 – Statistics

Identify the statistical measure used to determine the degree of association between variables

You're reporting an error for "QTB – MAY 2016 – L1 – SA – Q16 – Statistics"

QTB – Nov 2015 – L1 – SA – Q14 – Statistics

This question asks for the type of correlation exhibited in a scatter plot where the price and quantity have a downward trend.

You're reporting an error for "QTB – Nov 2015 – L1 – SA – Q14 – Statistics"

QTB – Nov 2015 – L1 – SA – Q12 – Statistics

This question asks for the measure that explains how well the regression line fits the data.

You're reporting an error for "QTB – Nov 2015 – L1 – SA – Q12 – Statistics"

QTB – May 2015 – L1 – SA – Q10 – Statistics

Calculating Spearman’s rank correlation between price and age of cars.

You're reporting an error for "QTB – May 2015 – L1 – SA – Q10 – Statistics"

QT – May 2016 – L1 – Q6b – Data Collection | Measures of Central Tendency

Compute the sample mean, variance, standard deviation, covariance, and correlation for the given data.

You're reporting an error for "QT – May 2016 – L1 – Q6b – Data Collection | Measures of Central Tendency"

QT – May 2018 – L1 – Q7b – Forecasting

Calculate Pearson and Spearman correlation coefficients for production cost and output data.

You're reporting an error for "QT – May 2018 – L1 – Q7b – Forecasting"

QT – May 2018 – L1 – Q7a – Forecasting

Sketch scatter graphs for perfect positive and negative correlation.

You're reporting an error for "QT – May 2018 – L1 – Q7a – Forecasting"

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