Unit 5 Review

Calculate the quadratic regression equation that best fits the following data.

Use the quadratic regression equation that best fits the following data to estimate the value of y where x is 7.5.

• -3.5

• -3.1

• -3.9

• -2.1

Calculate the exponential regression equation that best fits the following data.

Use the exponential regression equation that best fits the following data to estimate the value of y where x is 5.5.

• 3.18

• 2.98

• 4.24

• 5

You have collected data on inflation over the past 500 years. Some values are extremely large, and it is difficult to compare them to the smaller values in the data set. Which of the following variable transformations might help make the data linear? Select all that apply.

• x and ln(y)

• ln(x) and y

Calculate the logarithmic regression equation that best fits the following data.

• 𝑦 = 65.69 log(𝑥) + 14.37

• 𝑦 = 65.69 + 14.37log⁡(𝑥)

• 𝑦 = 65.69ln⁡(𝑥) + 14.37

• 𝑦 = 65.69 + 14.37ln⁡(𝑥)

What type of equation is this data set in?

• Logarithmic

• Sinusoidal

• Linear

• Quadratic

• Exponential

Use the logarithmic regression equation that best fits the following data to estimate the value of y where x is 3.5.

• 82.75

• 83.70

• 85.35

• 87.50

Calculate the sinusoidal regression equation that best fits the following data.

• 𝑦 = 1.64 sin(8.6𝑥 − 18.01) + 2.72

• 𝑦 = sin(8.6𝑥 + 1.64) + 2.72 − 18.01

• 𝑦 = 8.6 sin(2.72𝑥 + 1.64) − 18.01

• 𝑦 = 8.6 sin(1.64𝑥 + 2.72) − 18.01

Use the sinusoidal regression equation that best fits the following data to estimate the value of y where x is 6.5.

• -11.6

• -13.1

• -16.5

• -18.4