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 8,000 in salesAn increase of 80 in salesAn increase of 42,000 in salesAn increase of 8,000 in sales
Solution
The correct answer is: An increase 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 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 1,000 in the context of the equation) is associated with a decrease of $8,000 in sales.
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
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.