Question

Given the ordered pairs (5, 38), (10, 30), (20, 30), (21, 25), (24, 18), and (30, 20), find the followingA. Find the line of best fitB. Predict the value of y when x = 15C. Predict the value of x when y = 28D. Find the coefficient of linear correlation

Answer 1

Step-by-step explanation:

A)

The first step is to plot the corresponding x and y values on the graph. By using a linear regression plotter, the graph showing the line of best fit and the equation for the line of best fit is shown below

The equation is

y = - 0.7163x + 39.97

B)

We would substitute x = 15 into the equation. We have

y = - 0.7163 * 15 + 39.97

y = 29

C) We would substitute y = 28 into the equation and solve for x. We have

28 = - 0.7163x + 39.97

28 - 39.97 = 0.7163x

- 0.7163x = - 11.97

x = - 11.97/ - 0.7163

x = 17

D) From the plot.

coefficient of linear correlation = 0.8944