Question

In: Statistics and Probability

1. Selling price and amount spent advertising were entered into a multiple regression to determine what...

1.

Selling price and amount spent advertising were entered into a multiple regression to determine what affects flat panel LCD TV sales. The regression coefficient for Price was found to be -0.03055, which of the following is the correct interpretation for this value?

Select one:

A. Holding the amount spent on advertising constant, an increase of $100 in the price of the Sony Bravia will decrease sales by 0.03%.

B. None of these.

C. For a given amount spent on advertising, a $100 increase in price of the Sony Bravia is associated with a decrease in sales of 3.055 units, on average.

D. Holding the amount spent on advertising constant, an increase of $100 in the price of the Sony Bravia will decrease sales by 3.055 units.

E. Increasing the price of the Sony Bravia by $100 will result in at least 3 fewer TV's sold.

2.

A sample of 33 companies was randomly selected and data collected on the average annual bonus, turnover rate (%), and trust index (measured on a scale of 0 — 100). The regression coefficient for the variable Trust Index is -0.07149. The correct interpretation of this value is

Select one:

A. For companies that give the same average annual bonus, an increase of 10 points on the trust index is associated with an increase of 0.71% in turnover rate, on average.

B. None of these.

C. Holding average annual bonus constant, increasing the trust index by 10 points will decrease the turnover rate by 7.1%.

D. An increase of 10 points on the trust index results in a decrease of 7.1% in turnover rate.

E. For companies that give the same average annual bonus, an increase of 10 points on the trust index is associated with a decrease of 0.71% in turnover rate, on average.

3.

Selling price and amount spent advertising were entered into a multiple regression to determine what affects flat panel LCD TV sales. The regression coefficient for Advertising was found to be +3.0926, which of the following is the correct interpretation for this value?

Select one:

A. At a given price, increasing the amount spent on advertising the Sony Bravia over the previous quarter will increase sales by 3.0926 units, on average.

B. While price negatively affects the number of Sony Bravia LCD TV’s sold, an increase in the amount of money spent on advertising will result in at least 3 additional TV’s sold.

C. At a given price, a one percent increase in the amount spent on advertising the Sony Bravia over the previous quarter is associated with an increase in sales of 3.0926 units, on average.

D. None of these.

E. A one percent increase in the amount spent on advertising the Sony Bravia over the previous quarter will increase sales by 3.0926 units, on average.

Solutions

Expert Solution

1.Selling price and amount spent advertising were entered into a multiple regression to determine what affects flat panel LCD TV sales. The regression coefficient for Price was found to be -0.03055, which of the following is the correct interpretation for this value?

The correct option is as follows:C. For a given amount spent on advertising, a $100 increase in price of the Sony Bravia is associated with a decrease in sales of 3.055 units, on average.

Because negative sign of the coefficient of selling price indicate as increase in selling price implies that there is decrease in affects flat panel LCD TV sales.

So that $100 increase in selling price the decrease = 100*0.03050 = 3.055.

2.

A sample of 33 companies was randomly selected and data collected on the average annual bonus, turnover rate (%), and trust index (measured on a scale of 0 — 100). The regression coefficient for the variable Trust Index is -0.07149. The correct interpretation of this value is

The regression coefficient for the variable Trust Index is -0.07149.

That is independent variable = "Trust Index "

E. For companies that give the same average annual bonus, an increase of 10 points on the trust index is associated with a decrease of 0.71% in turnover rate, on average.

Since the sample is collected on 33 companies.

3.

Selling price and amount spent advertising were entered into a multiple regression to determine what affects flat panel LCD TV sales. The regression coefficient for Advertising was found to be +3.0926, which of the following is the correct interpretation for this value?

Here sign of a coefficient of regression is positive , so as independent variable increase by one units implies that the increase in dependent variable is same as coefficient of regression.

So correct choice is at follows:

A. At a given price, increasing the amount spent on advertising the Sony Bravia over the previous quarter will increase sales by 3.0926 ( =100 * 0.30926 )


Related Solutions

The following table illustrates the “Multiple Regression” output for “Selling Price” regressed on two independent (predictor)...
The following table illustrates the “Multiple Regression” output for “Selling Price” regressed on two independent (predictor) variables. Given the output, evaluate the significance, if any, of the individual independent variables at the 5% significance level. Make sure that you provide your rationale for your response for each independent variable. Also, indicate what the appropriate regression equation is for estimating the selling price Regression Statistics Multiple R 0.81968 R Square 0.67188 Anova DF SS MS F Regression 2 13313936968 6.7E+09 11.2619...
A sales manager is interested in determining the relationship between the amount spent on advertising and...
A sales manager is interested in determining the relationship between the amount spent on advertising and total sales. the manger collects data for the past  months and runs a regression of sales on advertising expenditures. The results wıth some missing values are presented below. Regression Statistics Multiple R R Square Adjusted R Square Standard Error Observations 0.492 0.242 0.208 40.975 ANOVA df SS MS F Significance Regression Residual Total 1 Coefficients Standard Error t Stat P-value Constant Advertising To test the...
1. A sample of customers in a grocery store were asked the amount they spent at...
1. A sample of customers in a grocery store were asked the amount they spent at the grocery store and the number of household members for whom they currently shopped. The results are summarized in the table below: Number of Household Members (x) Dollar Amount Spent on Groceries (y) 5 135 2 49 2 50 1 37 4 91 3 68 5 133 3 60 Find the correlation coefficient for the number of household members versus the dollar amount spent...
A multiple regression model is to be constructed to model the time spent using the internet...
A multiple regression model is to be constructed to model the time spent using the internet per week among internet users. The explanatory variables are age, hours spent working per week and annual income. Data has been collected on 30 randomly selected individuals: Time using internet (minutes) Age Hours working per week Annual income ('000) 140 56 39 28 257 35 31 79 163 35 35 34 115 33 52 27 182 45 36 37 214 51 57 80 187...
A corporation owns several companies. The strategic planner for the corporation believes amount spent on advertising...
A corporation owns several companies. The strategic planner for the corporation believes amount spent on advertising can to some extent be a predictor of total sales. As an aid in long term planning, she gathers the following sales and advertising information from several of the companies in millions for the year 2019. Advertising 12.5 3.7 21.6 60.0 37.6 6.1 16.8 41.2 Sales 148 55 338 994 541 89 126 379 Develop the equation of the simple regression line to predict...
A corporation owns several companies. The strategic planner for the corporation believes amount spent on advertising...
A corporation owns several companies. The strategic planner for the corporation believes amount spent on advertising can to some extent be a predictor of total sales. As an aid in long term planning, she gathers the following sales and advertising information from several of the companies in millions for the year 2019.                 Advertising          12.5        3.7          21.6        60.0        37.6        6.1          16.8        41.2                 Sales                    148        55           338         994         541         89           126         379 Develop the equation of the simple regression...
Fit a multiple regression model that relates the salary to education, work experience, and time spent...
Fit a multiple regression model that relates the salary to education, work experience, and time spent at the bank so far. a - State what your model is. b - Determine whether the independent variables are significant, or not, at a level of significance of 5%. c - Which independent variable is most significant in explaining salary? Which is least significant? d - Is your overall model significant? Provide statistical proof by conducting an F-test for overall fit of the...
Fit a multiple regression model that relates the salary to education, work experience, and time spent...
Fit a multiple regression model that relates the salary to education, work experience, and time spent at the bank so far. a - State what your model is. b - Determine whether the independent variables are significant, or not, at a level of significance of 5%. c - Which independent variable is most significant in explaining salary? Which is least significant? d - Is your overall model significant? Provide statistical proof by conducting an F-test for overall fit of the...
What are the differences between bivariate regression and multiple regression?
What are the differences between bivariate regression and multiple regression?
Determine the regression equatoin for this multiple regression model. Also calculate the adjusted R squared and...
Determine the regression equatoin for this multiple regression model. Also calculate the adjusted R squared and P value. Pedictor Variables/Data Length (inches) Braking (ft from 60 mph) Engine Displacement (liters) GHG 154 133 1.6 6.6 167 132 1.6 6.1 177 136 1.8 6.3 177 138 2 6.6 179 137 2 6.4 188 135 2 8.0 177 126 2 7.7 191 136 2.3 8.0 194 140 2.4 7.7 189 137 2.4 7.3 180 135 2.5 8.3 190 136 2.5 7.1 180...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT