Regression Practice

The scatterplot shows the number of registered voters, x, and the number of people who voted in the last election, y, for seven districts in a town. A line of best fit for the data is also shown. Which of the following could be the equation of the line of best fit?

• y = -0.5x

• y = 0.5x

• y = -2x

• y = 2x

The scatterplot shows the amount of electric energy generated in millions of megawatt-hours, by nuclear sources over a 10-year period.

Of the following equations, which best models the data in the scatterplot?

• y = 1.674x² + 19.76x - 745.73

• y = -1.674x² - 19.76x - 745.73

• y = 1.674x² + 19.76x + 745.73

• y = -1.674x² + 19.76x + 745.73

The scatterplot above shows the number of surveys sent to and returned from people in 17 different neighborhoods. A line of best fit for the data is also shown. For the neighborhood that had surveys sent to 800 people, which of the following is closest to the positive difference between the actual number of surveys returned and the number predicted by the line of best fit shown?

• 150

• 200

• 250

• 170

Michael swam 2,000 yards on each of eighteen days. The scatterplot shows his swim time for and corresponding heart rate after each swim. The line of best fit for the data is also shown. For the swim that took 34 minutes, Michael's actual heart rate was about how many beats per minutes less than the rate predicted by the line of best fit?

• 2

• 4

• 1

• 3

The scatterplot above shows the federal-mandated minimum wage every 10 years between 1940 and 2010. A line of best fit is shown, and its equation is y = 0.096x - 0.488. What does the line of best fit predict about the increase in the minimum wage over the 70-year period?

• Every 10 years between 1940 and 2010, the average increase in minimum wage was 0.096 dollars.

• Each year between 1940 and 2010 the average increase in minimum wage was 0.096 dollars.

• Each year between 1940 and 2010 the average increase in minimum wage was 0.49 dollars.

• Every 10 years between 1940 and 2010, the average increase in minimum wage was 0.488 dollars.

According to the line of best fit in the scatterplot, which of the following best approximates the year in which the number of miles traveled by air passengers in Country X was estimated to be 550 billion?

• 2000

• 2003

• 2008

• 1997

For the period from 1999 through 2013 in the United States, the price of a first-class postage stamp never decreased, while the average price of a gallon of unleaded regular gasoline both decreased and increased. The scatterplot shows the relationship between the price of a first-class postage stamp, in cents, and the average price of a gallon of unleaded regular gasoline, in dollars, in July of each year from 1999 through 2013.

Which of the following could be the equation of the line of best fit?

• y = 0.18x + 1.1

• y = -0.18x + 1.1

• y = 0.18x - 4.7

• y = 0.18

In the scatterplot, each point represents the quantity, n, of a product sold by a business at price, p, in dollars, for one of 30 days.  Which of the following equations best models the relationship between price and quantity sold?

• n = -50p + 300

• n = -50p + 200

•  $p=\frac{1}{50}n+2$  

• n = 50p + 200

The scatterplot shows a company's ice cream sales, d, in dollars, and the high temperature t, in degrees Celsius, on 12 different days. A line of best fit for the data is also shown. Which of the following could be an equation of the line of best fit?

• d = 10t + 402

• d = 0.03t + 402

• d = 33t + 84

• d = 33t + 300

The scatterplot shows the size x and the sale price y of 25 houses for sale in Town H. Which of the following could be an equation for a line of best fit for the data?

• y = 100x

• y = 100x + 100

• y = 200x + 100

• y = 50x + 100