Algebra 2/Trigonometry Unit 1A Review

The residual plot for a linear regression model shows points scattered randomly above and below zero with no pattern. This indicates:

• The model is inappropriate for the data

• The data has a strong exponential pattern

• The model is a good fit for the data

• There are outliers in the data set

In a linear regression equation y = -550x + 12050, where x represents years and y represents car value, what does -550 represent?

• The initial value of the car

• The car's value after one year

• The car decreases in value by $550 each year

• The total depreciation over the car's lifetime

In the same equation y = -550x + 12050, what does 12050 represent in context?

• The car's value after 10 years

• The car's initial value when new

• The annual depreciation rate

• The car's minimum value

When calculating residuals, which formula is correct?

• Predicted value - Actual value

• Actual value - Predicted value

• Actual value + Predicted value

• Predicted value × Actual value

A growth model shows f(x) = 500(1.38)^x for social media listens. What type of growth does this represent?

• Linear growth of 38%

• Exponential growth of 38%

• Linear growth of 138%

• Exponential decay of 38%

• The principal amount

• The time in years

• The interest rate

• The number of times interest is compounded per year

Given f(x) = 32(0.82)^x, what does 0.82 represent?

• The initial population

• The growth factor

• The decay factor

• The final population

When analyzing exponential decay, how do you calculate the percent decrease?

• Subtract the decay factor from 1 and multiply by 100

• Multiply the decay factor by 100

• Divide the decay factor by 100

• Add the decay factor to 1 and multiply by 100

A quadratic equation y = -0.15x^2 + 1.97x - 1.87 represents a coin's path. Why is the coefficient of x^2 negative?

• The coin moves horizontally

• The path opens downward

• The coin starts at ground level

• The path is asymmetrical

When creating a regression model, what does an R^2 value of 0.98 indicate?

• The model explains 2% of the variation

• The model explains 98% of the variation

• The model has a 98% error rate

• The model has a 2% error rate