Question

1. A study compared the speed in miles per hour, x, and the average fuel economy in miles per gallon, y, for cars. The results are shown in the table below. X 20 30 40 50 60 70 y 25.2 28.5 30.1 30.4 27.8 25.0 a. Use the scatter plot to determine if a linear, quadratic, exponential, or logarithmic equation best models the data. b. Find the appropriate regression equation. c. Predict the fuel economy for a car traveling at 35 miles per hour.​

Answer 1

A car traveling at 35 miles per hour would be 25.865 miles per gallon.

Explanation:

a. To determine the best-fit model for the given data, we can plot the data on a graph and visually inspect it. From the scatter plot, we can see that the data points roughly form a linear shape, suggesting that a linear equation may be the best fit.

b. To find the equation of the best-fit line, we can use linear regression analysis. The best-fit equation for the given data is:

y = 0.0294x + 24.355

c. To predict the fuel economy for a car traveling at 35 miles per hour, we can substitute 35 for x in the best-fit equation:

y = 0.0294(35) + 24.355 = 25.865

Therefore, we can predict the fuel economy for a car traveling at 35 miles per hour to be 25.865 miles per gallon.

Hoped this help! Again, sorry if it's wrong. If you need more help, ask me! :]