It is believed that number of people who attend a Mardi Gras parade each year depends on the temperature that day.A regression has been conducted on a sample of years where the temperature ranged from 28 to 64 degrees and the number of people attending ranged from 8400 to 14,600.The regression equation was found to be = 2378 + 191x.Which of the following is true?
A)The average change in parade attendance is an additional 2378 people per one-degree increase in temperature.
B)The average change in parade attendance is an additional 191 people per one-degree increase in temperature.
C)If the temperature is 75 degrees,we can expect that 16,703 people will attend.
D)If the temperature is 0 degrees this year,then we should expect 2378 people to attend.

Question

It is believed that number of people who attend a Mardi Gras parade each year depends on the temperature that day.A regression has been conducted on a sample of years where the temperature ranged from 28 to 64 degrees and the number of people attending ranged from 8400 to 14,600.The regression equation was found to be  = 2378 + 191x.Which of the following is true?
A)The average change in parade attendance is an additional 2378 people per one-degree increase in temperature. 
B)The average change in parade attendance is an additional 191 people per one-degree increase in temperature. 
C)If the temperature is 75 degrees,we can expect that 16,703 people will attend. 
D)If the temperature is 0 degrees this year,then we should expect 2378 people to attend.

Quizplus · Accepted Answer

According to the regression equation, the coefficient of x (temperature) is 191, which means that for every one-degree increase in temperature, we can expect an additional 191 people to attend the parade. Therefore, option B is true. Option A is incorrect because 2378 represents the intercept or the number of people we can expect to attend the parade when the temperature is 0 degrees. Option C is also incorrect because we cannot make a prediction for a temperature outside the range of the sample data. Option D is incorrect because we cannot use the regression equation to make a prediction for a temperature below 28 degrees, which is the minimum temperature in the sample.

It Is Believed That Number of People Who Attend a Mardi