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BCA Semester 3 – Probability and Statistics – Unit 3: Correlation and Regression Analysis (6Hrs)

Comprehensive questions and detailed answers for Unit 3: Correlation and Regression Analysis (6Hrs). Perfect for exam preparation and concept clarity.

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1

Calculate Karl Pearson's correlation coefficient from the following data:

\begin{array}{|c|c|} \hline \text{Sales} & 43 \quad 41 \quad 36 \quad 34 \quad 50 \\ \hline \text{Expenses} & 10 \quad 22 \quad 13 \quad 19 \quad 17 \\ \hline \end{array}

MediumTHEORY5 marks2019(TU FOHSS Final)

2

Estimate the marks in JAVA when the marks in statistics are 65 using the following data:

\begin{array}{|c|c|} \hline \text{Marks in Statistics} & 57 \quad 58 \quad 59 \quad 59 \quad 60 \quad 61 \quad 62 \quad 64 \\ \hline \text{Marks in JAVA} & 77 \quad 78 \quad 75 \quad 78 \quad 82 \quad 82 \quad 79 \quad 81 \\ \hline \end{array}

MediumTHEORY5 marks2019(TU FOHSS Final)

3

Calculate the correlation coefficient between income and expenditure on food of certain families of Kathmandu Metropolitan from the following information:

\begin{array}{|c|c|c|c|c|c|} \hline \text{Income (000 Rs)} & 10 & 11 & 12 & 13 & 14 \\ \hline \text{Expenditure on food (000 Rs)} & 9 & 8 & 9 & 12 & 11 \\ \hline \end{array}

MediumTHEORY5 marks2020(TU FOHSS Final)

4

Define the term correlation. Compute Karl Pearson's coefficient of correlation between advertisement cost and sales as per the data given below:

\begin{array}{|c|c|c|c|c|c|c|c|c|c|} \hline \text{Advertising Cost (000)} & 39 & 65 & 62 & 90 & 82 & 75 & 25 & 98 & 36 \\ \hline \text{Sales (000)} & 47 & 53 & 58 & 86 & 62 & 68 & 60 & 91 & 95 \\ \hline \end{array}

MediumTHEORY5 marks2021(TU FOHSS Final)

5

The following table gives the age of the computers of a certain company and annual maintenance costs:

\begin{array}{|c|c|c|c|c|c|} \hline \text{Age of computers (yrs)} & 2 & 4 & 6 & 8 & 10 \\ \hline \text{Maintenance cost (00)} & 10 & 15 & 22 & 32 & 46 \\ \hline \end{array}

Obtain the regression equation of maintenance cost on age of computer. Also, estimate the cost of maintenance for a 10‑years‑old computer.

MediumTHEORY5 marks2021(TU FOHSS Final)

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Sample Questions

Calculate Karl Pearson's correlation coefficient from the following data: \[ \begin{array}{|c|c|} \hline \text{Sales} & 43 \quad 41 \quad 36 \quad 34 \quad 50 \\ \hline \text{Expenses} & 10 \quad 22 \

Marks: 5Chapter: Unit 3: Correlation and Regression Analysis (6Hrs)

Estimate the marks in JAVA when the marks in statistics are 65 using the following data: \[ \begin{array}{|c|c|} \hline \text{Marks in Statistics} & 57 \quad 58 \quad 59 \quad 59 \quad 60 \quad 61 \qu

Marks: 5Chapter: Unit 3: Correlation and Regression Analysis (6Hrs)

Calculate the correlation coefficient between income and expenditure on food of certain families of Kathmandu Metropolitan from the following information: \[ \begin{array}{|c|c|c|c|c|c|} \hline \text{

Marks: 5Chapter: Unit 3: Correlation and Regression Analysis (6Hrs)

Define the term correlation. Compute Karl Pearson's coefficient of correlation between advertisement cost and sales as per the data given below: \[ \begin{array}{|c|c|c|c|c|c|c|c|c|c|} \hline \text{Ad

Marks: 5Chapter: Unit 3: Correlation and Regression Analysis (6Hrs)

The following table gives the age of the computers of a certain company and annual maintenance costs: \[ \begin{array}{|c|c|c|c|c|c|} \hline \text{Age of computers (yrs)} & 2 & 4 & 6 & 8 & 10 \\ \hlin

Marks: 5Chapter: Unit 3: Correlation and Regression Analysis (6Hrs)