I’ve been stumped on this question for a while (picture included)

Since the question is indicating to use a graphing calculator, we can assume that we would be required to graph both of the equations.

Red =

Blue =

By graphing those equations, we can determine the solution(s)

The points where the graphs intersect would be your coordinates to derive your solution

Red = (1.864, 1.966)

Blue = (-0.427, 1.254)

The solutions would be the x-value of the ordered pair, in this case,

x = 1.864 AND x = -0.427

 r represents a significant linear correlation.

Step-by-step explanation:

GIven : Linear correlation coefficient: r = 0.543

Sample size: n= 25

Significance levle:

Degree of freedom : n-2 = 25-2=23

Now, we check r critical value table for value with df = 23 and .

Critical value = ±0.396  [From r critical value table]

Since r = 0.543 > 0.396, that means there is significant linear correlation.

Hence,  r represents a significant linear correlation.