Knowee
Questions
Features
Study Tools

A simple linear regression model was run to understand the relationship between:price in thousands of dollars (P)sales in dollars (S)The model output the following equation:S = 50,000 – 8P Which of the following is true about the relationship between sales and price?An increase of $1 in price is associated with a decrease of $8,000 in salesAn increase of $1 in price is associated with a decrease of $80 in salesAn increase of $1 in price is associated with a decrease of $42,000 in salesAn increase of $8 in price is associated with an increase of $8,000 in sales

Question

A simple linear regression model was run to understand the relationship between:price in thousands of dollars (P)sales in dollars (S)The model output the following equation:S = 50,000 – 8P Which of the following is true about the relationship between sales and price?An increase of 1inpriceisassociatedwithadecreaseof1 in price is associated with a decrease of 8,000 in salesAn increase of 1inpriceisassociatedwithadecreaseof1 in price is associated with a decrease of 80 in salesAn increase of 1inpriceisassociatedwithadecreaseof1 in price is associated with a decrease of 42,000 in salesAn increase of 8inpriceisassociatedwithanincreaseof8 in price is associated with an increase of 8,000 in sales

...expand
🧐 Not the exact question you are looking for?Go ask a question

Solution

The correct answer is: An increase of 1inpriceisassociatedwithadecreaseof1 in price is associated with a decrease of 8,000 in sales.

Here's why:

The equation given is S = 50,000 – 8P. In this equation, 'S' represents sales in dollars and 'P' represents price in thousands of dollars. The coefficient of 'P' is -8. This means that for every 1increaseinprice,salesdecreaseby1 increase in price, sales decrease by 8,000.

This is because the coefficient of 'P' is in thousands of dollars. So, -8 actually represents -8,000 in the context of this equation. Therefore, an increase of 1inprice(or1 in price (or 1,000 in the context of the equation) is associated with a decrease of $8,000 in sales.

This problem has been solved

Similar Questions

A regression analysis between y, sales (in $1000) and x, advertising (in $) yielded the least squares line  = 60 + 5x. We can interpret the slope by saying that we estimate for each extra $1 spent on advertising that sales will increase by $5 000, on average.Group of answer choicesTrueFalse

Regression analysis was applied between sales (in $1,000) and advertising (in $100), and the following regression function was obtained.y-hat = 87 + 7.8 xBased on the above estimated regression line, if advertising is $11,924, then the point estimate for sales (in dollars) is

Suppose the linear regression line y = 2.1x + 130 predicts sales based on the money spent on advertising. If x represents the dollars spent in advertising, and y represents the company sales in dollars, about how much can the company expect in sales if it spends $50 in advertising?A.$650B.$105C.$323D.$235

A regression model between sales (y in Php 1,000), unit price (x1 in Pesos ) and online  advertisement (x2 in Pesos ) resulted in the following function: y = 7 – 3x1 + 5x2The coefficient of the unit price indicates that if the unit price is increased by PhP 1, holding advertising constant, then sales are expected to ___.Group of answer choicesdecrease by PhP 3,000increase by PhP 4,000decrease by PhP 3increase by PhP 3 PreviousNext

In order to analyze sales as a function of advertising expenses, the sales manager developed a simple regression model. The model included the following equation, which was based on 32 monthly observations of sales and advertising expenses with a related coefficient of determination of .90.Sales = $10,000 + (2.5 × Advertising expenses)If the advertising expenses in 1 month amounted to $1,000, the related point estimate of sales would be

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.