Consider the accompanying data on x = advertising share and y = market share for a particular brand of soft drink during 10 randomly selected years. x 0.102 0.072 0.072 0.077 0.086 0.047 0.060 0.050 0.070 0.052 y 0.133 0.126 0.123 0.086 0.079 0.076 0.065 0.059 0.051 0.039 (a) Construct a scatterplot for these data. A scatterplot has a horizontal axis labeled "x" with values from 0.03 to 0.14 and a vertical axis labeled "y" with values from 0.04 to 0.11. There are 10 points. The points are plotted from left to right in a downward, diagonal direction starting from the lower left of the plot. The points are between approximately 0.039 and 0.133 on the horizontal axis and between approximately 0.047 and 0.102 on the vertical axis. The points show a moderate amount of variation around the diagonal trend. A scatterplot has a horizontal axis labeled "x" with values from 0.04 to 0.11 and a vertical axis labeled "y" with values from 0.03 to 0.14. There are 10 points. The points are plotted from left to right in an upward, diagonal direction starting from the lower left of the plot. The points are between approximately 0.047 and 0.102 on the horizontal axis and between approximately 0.039 and 0.133 on the vertical axis. The points show a moderate amount of variation around the diagonal trend. A scatterplot has a horizontal axis labeled "x" with values from 0.03 to 0.14 and a vertical axis labeled "y" with values from 0.04 to 0.11. There are 10 points. The points are plotted from left to right in an upward, diagonal direction starting from the lower left of the plot. The points are between approximately 0.039 and 0.133 on the horizontal axis and between approximately 0.047 and 0.102 on the vertical axis. The points show a moderate amount of variation around the diagonal trend. A scatterplot has a horizontal axis labeled "x" with values from 0.04 to 0.11 and a vertical axis labeled "y" with values from 0.03 to 0.14. There are 10 points. The points are plotted from left to right in a downward, diagonal direction starting from the upper left of the plot. The points are between approximately 0.047 and 0.102 on the horizontal axis and between approximately 0.039 and 0.133 on the vertical axis. The points show a moderate amount of variation around the diagonal trend. Is the simple linear regression model appropriate for describing the relationship between x and y? YesNo (b) Calculate the equation of the estimated regression line. (Round your numerical values to four decimal places.) y = Obtain the predicted market share when the advertising share is 0.09. (Round your answer to five decimal places.) (c) Calculate the value of r2. (Round your answer to four decimal places.) Interpret this value. This is the percentage of the variation in advertising share that can be explained by the linear regression model relating market share and advertising share.This is the percentage of the variation in market share that can be explained by the linear regression model relating market share and advertising share. This is a typical deviation of advertising share in this data set from the value predicted by the estimated regression line.This is a typical deviation of market share in this data set from the value predicted by the estimated regression line

Consider the accompanying data on x = advertising share and y = market share for a particular brand of soft drink during 10 randomly selected years. x 0.102 0.072 0.072 0.077 0.086 0.047 0.060 0.050 0.070 0.052 y 0.133 0.126 0.123 0.086 0.079 0.076 0.065 0.059 0.051 0.039 (a) Construct a scatterplot for these data. A scatterplot has a horizontal axis labeled "x" with values from 0.03 to 0.14 and a vertical axis labeled "y" with values from 0.04 to 0.11. There are 10 points. The points are plotted from left to right in a downward, diagonal direction starting from the lower left of the plot. The points are between approximately 0.039 and 0.133 on the horizontal axis and between approximately 0.047 and 0.102 on the vertical axis. The points show a moderate amount of variation around the diagonal trend. A scatterplot has a horizontal axis labeled "x" with values from 0.04 to 0.11 and a vertical axis labeled "y" with values from 0.03 to 0.14. There are 10 points. The points are plotted from left to right in an upward, diagonal direction starting from the lower left of the plot. The points are between approximately 0.047 and 0.102 on the horizontal axis and between approximately 0.039 and 0.133 on the vertical axis. The points show a moderate amount of variation around the diagonal trend. A scatterplot has a horizontal axis labeled "x" with values from 0.03 to 0.14 and a vertical axis labeled "y" with values from 0.04 to 0.11. There are 10 points. The points are plotted from left to right in an upward, diagonal direction starting from the lower left of the plot. The points are between approximately 0.039 and 0.133 on the horizontal axis and between approximately 0.047 and 0.102 on the vertical axis. The points show a moderate amount of variation around the diagonal trend. A scatterplot has a horizontal axis labeled "x" with values from 0.04 to 0.11 and a vertical axis labeled "y" with values from 0.03 to 0.14. There are 10 points. The points are plotted from left to right in a downward, diagonal direction starting from the upper left of the plot. The points are between approximately 0.047 and 0.102 on the horizontal axis and between approximately 0.039 and 0.133 on the vertical axis. The points show a moderate amount of variation around the diagonal trend. Is the simple linear regression model appropriate for describing the relationship between x and y? YesNo (b) Calculate the equation of the estimated regression line. (Round your numerical values to four decimal places.) y = Obtain the predicted market share when the advertising share is 0.09. (Round your answer to five decimal places.) (c) Calculate the value of r2. (Round your answer to four decimal places.) Interpret this value. This is the percentage of the variation in advertising share that can be explained by the linear regression model relating market share and advertising share.This is the percentage of the variation in market share that can be explained by the linear regression model relating market share and advertising share. This is a typical deviation of advertising share in this data set from the value predicted by the estimated regression line.This is a typical deviation of market share in this data set from the value predicted by the estimated regression line

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Question

Consider the accompanying data on

x = advertising

share and

y = market

share for a particular brand of soft drink during 10 randomly selected years.

x	0.102	0.072	0.072	0.077	0.086	0.047	0.060	0.050	0.070	0.052
y	0.133	0.126	0.123	0.086	0.079	0.076	0.065	0.059	0.051	0.039

(a)

Construct a scatterplot for these data.

A scatterplot has a horizontal axis labeled "x" with values from 0.03 to 0.14 and a vertical axis labeled "y" with values from 0.04 to 0.11. There are 10 points.

The points are plotted from left to right in a downward, diagonal direction starting from the lower left of the plot.
The points are between approximately 0.039 and 0.133 on the horizontal axis and between approximately 0.047 and 0.102 on the vertical axis.
The points show a moderate amount of variation around the diagonal trend.

A scatterplot has a horizontal axis labeled "x" with values from 0.04 to 0.11 and a vertical axis labeled "y" with values from 0.03 to 0.14. There are 10 points.

The points are plotted from left to right in an upward, diagonal direction starting from the lower left of the plot.
The points are between approximately 0.047 and 0.102 on the horizontal axis and between approximately 0.039 and 0.133 on the vertical axis.
The points show a moderate amount of variation around the diagonal trend.

A scatterplot has a horizontal axis labeled "x" with values from 0.03 to 0.14 and a vertical axis labeled "y" with values from 0.04 to 0.11. There are 10 points.

The points are plotted from left to right in an upward, diagonal direction starting from the lower left of the plot.
The points are between approximately 0.039 and 0.133 on the horizontal axis and between approximately 0.047 and 0.102 on the vertical axis.
The points show a moderate amount of variation around the diagonal trend.

A scatterplot has a horizontal axis labeled "x" with values from 0.04 to 0.11 and a vertical axis labeled "y" with values from 0.03 to 0.14. There are 10 points.

The points are plotted from left to right in a downward, diagonal direction starting from the upper left of the plot.
The points are between approximately 0.047 and 0.102 on the horizontal axis and between approximately 0.039 and 0.133 on the vertical axis.
The points show a moderate amount of variation around the diagonal trend.

Is the simple linear regression model appropriate for describing the relationship between x and y?

YesNo

(b)

Calculate the equation of the estimated regression line. (Round your numerical values to four decimal places.)

y =

Obtain the predicted market share when the advertising share is 0.09. (Round your answer to five decimal places.)

(c)

Calculate the value of

r².

(Round your answer to four decimal places.)

Interpret this value.

This is the percentage of the variation in advertising share that can be explained by the linear regression model relating market share and advertising share.This is the percentage of the variation in market share that can be explained by the linear regression model relating market share and advertising share. This is a typical deviation of advertising share in this data set from the value predicted by the estimated regression line.This is a typical deviation of market share in this data set from the value predicted by the estimated regression line.

(d)

Calculate a point estimate of ?. (Round your answer to five decimal places.)

What is the value of degrees of freedom associated with this estimate?

Expert Solution

Step by step

Solved in 5 steps with 2 images

SEE SOLUTION Check out a sample Q&A here