Regression Line – NBC Institute

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

QT – Nov 2017 – L1 – Q3 – Forecasting

Analyze the relationship between website hits and promotions using correlation and regression analysis.

Question

A small business is interested in the relationship between the number of hits on its website (measured by the number of visitors that have used the main menu) and the level of website promotion (in GH¢ 00s). The table below gives the figures for the last six months:

Month	Web Site Hits	Web Site Promotion (GH¢ 00s)
1	25	1.0
2	24	1.2
3	56	1.6
4	54	1.4
5	55	1.2
6	58	1.8

Required:
a) Graph the number of website hits against website promotion. (2 marks)
b) Comment on any possible relationship in (a) above. (2 marks)
c) Calculate the correlation coefficient and give an interpretation to its value. (5 marks)
d) Determine the regression line. (5 marks)
e) Using the regression line found in part (d) above, predict the number of website hits if the level of monthly promotion were increased to GH¢200. (2 marks)
f) Comment on the reliability of your prediction in (e) above. (1 mark)
g) Comment on the simple forecasting model you have developed above. (3 marks)

Answer

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Tags: Correlation Coefficient, Forecasting, Regression Line
Level: Level 1

Topic: Forecasting
Series: NOV 2017

QT – May 2017 – L1 – Q7 – Forecasting

Construct a scatter diagram and compute correlation, regression line, and coefficient of determination from given data.

Question

The following data gives how much 10 students of ICAG spend on TroTro to the Institute and food weekly:

Food (x)	10	12	14	16	18	20	22	24	26	28
TroTro (y)	25	24	22	20	19	17	13	12	11	10

Required:

a) Using a graph paper, construct a scatter diagram of the data.
(4 marks)

b) Determine the correlation coefficient.
(4 marks)

c) Calculate the coefficient of determination of the data and interpret its value.
(4 marks)

d) Determine the regression line of $y$ on $x$ , and interpret the coefficient.
(8 marks)

Answer

Find Related Questions by Tags, levels, etc.

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

Topic: Forecasting
Series: MAY 2017

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

QT – Nov 2017 – L1 – Q3 – Forecasting

Analyze the relationship between website hits and promotions using correlation and regression analysis.

Question

Month	Web Site Hits	Web Site Promotion (GH¢ 00s)
1	25	1.0
2	24	1.2
3	56	1.6
4	54	1.4
5	55	1.2
6	58	1.8

Answer

Find Related Questions by Tags, levels, etc.

Tags: Correlation Coefficient, Forecasting, Regression Line
Level: Level 1

Topic: Forecasting
Series: NOV 2017

QT – May 2017 – L1 – Q7 – Forecasting

Construct a scatter diagram and compute correlation, regression line, and coefficient of determination from given data.

Question

The following data gives how much 10 students of ICAG spend on TroTro to the Institute and food weekly:

Food (x)	10	12	14	16	18	20	22	24	26	28
TroTro (y)	25	24	22	20	19	17	13	12	11	10

Required:

a) Using a graph paper, construct a scatter diagram of the data.
(4 marks)

b) Determine the correlation coefficient.
(4 marks)

c) Calculate the coefficient of determination of the data and interpret its value.
(4 marks)

d) Determine the regression line of $y$ on $x$ , and interpret the coefficient.
(8 marks)

Answer

Find Related Questions by Tags, levels, etc.

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

Topic: Forecasting
Series: MAY 2017

Question Tag: Regression Line

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

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

QT – Nov 2017 – L1 – Q3 – Forecasting

Analyze the relationship between website hits and promotions using correlation and regression analysis.

QT – May 2017 – L1 – Q7 – Forecasting

Construct a scatter diagram and compute correlation, regression line, and coefficient of determination from given data.

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

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

QT – Nov 2017 – L1 – Q3 – Forecasting

Analyze the relationship between website hits and promotions using correlation and regression analysis.

QT – May 2017 – L1 – Q7 – Forecasting

Construct a scatter diagram and compute correlation, regression line, and coefficient of determination from given data.

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

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

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QT – Nov 2017 – L1 – Q3 – Forecasting

Analyze the relationship between website hits and promotions using correlation and regression analysis.

You're reporting an error for "QT – Nov 2017 – L1 – Q3 – Forecasting"

QT – May 2017 – L1 – Q7 – Forecasting

Construct a scatter diagram and compute correlation, regression line, and coefficient of determination from given data.

You're reporting an error for "QT – May 2017 – L1 – Q7 – Forecasting"

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"

QT – Nov 2017 – L1 – Q3 – Forecasting

Analyze the relationship between website hits and promotions using correlation and regression analysis.

You're reporting an error for "QT – Nov 2017 – L1 – Q3 – Forecasting"

QT – May 2017 – L1 – Q7 – Forecasting

Construct a scatter diagram and compute correlation, regression line, and coefficient of determination from given data.

You're reporting an error for "QT – May 2017 – L1 – Q7 – Forecasting"

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