Line of Best Fit and Curve of Best Fit

The red line represents the line of best fit for the scatter plot. How many ice cream sales are expected if the temperature is 90°?

• 55

• 0

• 103

• 100

The table shown is comparing a person's foot length to their height in cm. Calculate a line of best fit.

• f(x) = 25.05x + 5.57

• f(x) = 127x + 25.05

• f(x) = -127x + 25.05

• f(x) = 127x - 25.05

What would the equation be that best fits this data?:

{(-15, 53.5), (-14, 28), (-3, 18), (0, 4), (6, 27), (14, 50)}

• y = .17x²+.45x+12.43

• y = .16x²+.45x+12.42

• y = -.04x + 30

• y = -.03x + 30

The scatter plot shows the relationship between the number of chapters and the total number of pages for several books.  Use the trend line to predict how many chapters would be in a book with 180 pages. 

• 12 chapters

• 15 chapters

• 18 chapters

• 21 chapters

Find the line of best fit

• y = 0.20x + 26

• y = 26x + 0.20

• y = 25x + 28

• y = 28x + 25

Calculate the equation for the curve of best fit. Round your answer to the nearest tenth.

• f(x) =
   2x² - 9x + 10

• f(x)=
   3x² + 9x - 10

• f(x) =
   3.1x² - 9.2x - 10.3

• f(x) =
  2.1x² - 8.6x + 10.1

Calculate the quadratic regression function for this table of values to the nearest tenth.

• f(x) =
   2x² - 9x + 10

• f(x)=
   3x² + 9x - 10

• f(x) =
   3.1x² - 9.2x - 10.3

• f(x) =
  2.1x² - 8.6x + 10.1

Using the equation of the line of best fit, which number is the best prediction of the output when the input is 13?

• 170

• 127

• 159

• 178

This table shows the number of months used and the approximate distances driven, in miles, for six buses in a school district. Using the line of best fit for these data, which value is the best prediction of the distance, in miles, by a bus that has been used for 40 months?

• 79,100

• 86,400

• 91,400

• 68,000

Which equation best represents this data set?