The graph below plots the values of y for different values of x: plot the ordered pairs 1, 1 and 2, 4 and 3, 7 and 4, 9 and 5, 12 and 6, 16 which correlation coefficient best matches the data plotted on the graph? −0.5 0 0.25 0.90

Solution:

Plotting the Ordered pairs on coordinate plane (1, 1) , (2, 4) , (3, 7) , (4, 9) , (5, 12) and (6, 16).

A line of best fit is the line which passes through few points, one point or more than one point of the set of given ordered pairs.

As, you can see line of best fit passes through four points.

Equation of line of best fit can be arrived with the help of two point slope form of line.

The formula used here is two point slope form of line:

As you can see that Points on the coordinate plane are very close to Line of best fit.

So, there are chances of perfect positive correlation.

Option (D) 0.90 is true description of correlation between two variables.

54 kilometers per hour

step-by-step explanation:

according to rules:

1 km = 1000 meter

which means that 1 meter = 1/1000 km

1 hour = 3600 second [ as 1 hour = 60 min = 60 *60 seconds ]

which means that 1 second = 1/3600 hour

therefore, 1 kilometer/hour =

thus to convert 15 meter per second to kilometer per hour, we multiply 15 to 3.6 kilometer/hour.

15 meter/second=   which is the required answer.