i need Part 7,8,9 Solution. Exercise 2.In order to study the relationship of advertising and capital investment with corporateprofits, the following data, recorded in units of $ 100, 000, were collected for 10 medium-sized firms in the sameyear. The variable y represents profit for the year, ri represents capilal investment, and rz represents advertisingexpenditures:Year y Capital riAdvertising ra1525161263301122912016121815136162Using the model y = Bo +B11 +Br2+e and Minitab, find the least-squares prediction equation1.for these data.2.Give appropriate interpretations for the estimated coeflicients by, b1, b2.3.Use the overall F test with Minitab to determine whether the model contributes significantinformation for the prediction of y. Use a = 0.05.Does advertising expenditure contribute significant information for the prediction of y, given thatthe capital r, is already in the model? Use a = 0.05 and Minitab output.5.Construct a confidence interval for the mean value of the profit y, in a given year, for a capitalinvestment z = 22 and a value of the advertising expenditures z2 = 6. Use a = 0.05.6.Construct a prediction interval for the value of the profit y, in a given year, for a capital investmentn = 22 and a value of the advertising expenditures r2 = 6. Use a = 0.05. Compare the confidence and theprediction intervals in term of size and precision.7.Find the coefficient of determination, R and the adjusted R. Which of these two quantitiesis the most appropriate to find what percentage of the overall variation is explained by the model. Explainyour choice!8.Using Minitab, plot the residuals against the values of the capital investment ri and against thevalues of the advertising expenditures and finally against the predicted values y of the profit. Use these plotsto analyze the equal variances assumptions.9.Using Minitab, plot the normal plot of residuals. Do you observe a departure from the normalityassumption?

Name: i need Part 7,8,9 Solution. Exercise 2.In order to study the relations
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Description: i need Part 7,8,9 Solution. Exercise 2.In order to study the relationship of advertising and capital investment with corporateprofits, the following data, recorded in units of $ 100, 000, were collected for 10 medium-sized firms in the sameyear. The

Given :y=β0+β1x1+β2x2β0 is interceptβ1,β2 are slope of x1, x2.Therefore, The equation we…

Math

Statistics

Exercise 2. In order to study the relationship of advertising and capital investment with corporate profits, the following data, recorded in units of $ 100,000, were collected for 10 medium-sized firms in the same year. The variable y represents profit for the year, zi represents capital investment, and r2 represents adrertising expenditures Year y Capital n Advertising r2 25 15 16 1 6 3 3. 30 12 29 2 1 20 16 12 4 18 15 13 6. 16

Exercise 2. In order to study the relationship of advertising and capital investment with corporate profits, the following data, recorded in units of $ 100,000, were collected for 10 medium-sized firms in the same year. The variable y represents profit for the year, zi represents capital investment, and r2 represents adrertising expenditures Year y Capital n Advertising r2 25 15 16 1 6 3 3. 30 12 29 2 1 20 16 12 4 18 15 13 6. 16

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

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Question

i need Part 7,8,9 Solution.

Exercise 2.
In order to study the relationship of advertising and capital investment with corporate
profits, the following data, recorded in units of $ 100, 000, were collected for 10 medium-sized firms in the same
year. The variable y represents profit for the year, ri represents capilal investment, and rz represents advertising
expenditures:
Year y Capital ri
Advertising ra
15
25
16
1
2
6
3
30
1
12
29
1
20
16
12
18
15
13
6
16
2
Using the model y = Bo +B11 +Br2+e and Minitab, find the least-squares prediction equation
1.
for these data.
2.
Give appropriate interpretations for the estimated coeflicients by, b1, b2.
3.
Use the overall F test with Minitab to determine whether the model contributes significant
information for the prediction of y. Use a = 0.05.
Does advertising expenditure contribute significant information for the prediction of y, given that
the capital r, is already in the model? Use a = 0.05 and Minitab output.
5.
Construct a confidence interval for the mean value of the profit y, in a given year, for a capital
investment z = 22 and a value of the advertising expenditures z2 = 6. Use a = 0.05.
6.
Construct a prediction interval for the value of the profit y, in a given year, for a capital investment
n = 22 and a value of the advertising expenditures r2 = 6. Use a = 0.05. Compare the confidence and the
prediction intervals in term of size and precision.
7.
Find the coefficient of determination, R and the adjusted R. Which of these two quantities
is the most appropriate to find what percentage of the overall variation is explained by the model. Explain
your choice!
8.
Using Minitab, plot the residuals against the values of the capital investment ri and against the
values of the advertising expenditures and finally against the predicted values y of the profit. Use these plots
to analyze the equal variances assumptions.
9.
Using Minitab, plot the normal plot of residuals. Do you observe a departure from the normality
assumption?

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