For data pairs (0,5), (1,8), (2,11), (3,14), and (4,17), should a linear, quadratic, or exponential regression be used?

A data set has x = 0,1,2,3,4 and y = 2,6,18,54,162. Select the best family: linear, quadratic, or exponential.

The points (-2,9), (-1,4), (0,1), (1,0), and (2,1) form a U-shaped pattern. What regression family best fits: linear, quadratic, or exponential?

For x = 1,2,3,4,5, the y-values are 4,6,9,13.5,20.25. Name the best model family among linear, quadratic, and exponential.

A table shows (0,20), (1,17), (2,16), (3,17), and (4,20). Should the regression model be linear, quadratic, or exponential?

Measurements at x = 0,2,4,6,8 give y = 10,14,18,22,26. Choose the model family: linear, quadratic, or exponential.

A plant's height y in centimeters after x days is modeled by y = 2.6x + 18. What does 2.6 mean?

A phone's value y in dollars after x years is modeled by $y=900(0.78{)}^x$. What does 0.78 represent?

For $y=-0.04x^2+1.6x+3$ modeling ball height y in meters at time x seconds, what does the negative coefficient on $x^2$ indicate?

A linear regression of heating cost y on outdoor temperature x has correlation r = -0.92. How should r be read?

A quadratic regression for stopping distance y from speed x has $R^2=0.81$. What does $R^2=0.81$ mean?

A delivery time model is y = 3.5x + 12, where x is distance in kilometers and y is minutes. What time is predicted for 8 kilometers, rounded to the nearest minute?

Profit y in dollars is modeled by $y=-2x^2+30x+40$, where x is hundreds of items sold. What profit is predicted when x = 6, to the nearest dollar?

Bacteria count y is modeled by $y=500(1.12{)}^x$ after x hours. What count does the model predict after 3 hours, rounded to the nearest bacterium?

A ball's height y in meters is modeled by $y=-4.9t^2+19.6t+1.5$. What height is predicted at t = 2 seconds, to the nearest tenth?

A car's value y in dollars is modeled by $y=24000(0.85{)}^x$ after x years. What value is predicted after 4 years, rounded to the nearest dollar?

A linear regression was built from data with x-values 0 through 10. It predicts at x = 8 and x = 35. Which prediction is less reliable, and why?

A regression model for plant mass used temperatures from 12°C to 28°C. The model is used at 20°C and 45°C. What reliability statement is justified?

A quadratic model was fitted to heights from children ages 5 to 12. A student uses it to predict height at age 11 and age 30. Which use should be treated with more caution?

A scatter plot has 14 points following a curved pattern and one data-entry error far above the rest. Before trusting the regression's predictions, what is the best action?