I hope this helps. good luck
Answer:
The scatter diagram that contains the correlation coefficient closest to r = 1 is the first one shown in the attached images.
Step-by-step explanation:
The correlation coefficient "r" measures how much two variables x and y are related. When the variables are highly related, the value of r is closer to one and the points contained in the scatter diagrams are assimilated more and more to a line. When the value of r is positive the relation is crescent and therefore the slope of the line drawn by the points in the diagram has a positive slope
Therefore, to answer this question, one must search among the attached images for the dispersion diagram in which the points resemble a straight line with a positive slope.
The scatter diagram that meets the requirements mentioned is the first one that appears in the attached images
I believe you would want to rotate 90°, then rotate 180°. In case I'm wrong I graphed it out as well so you can double check. The pic is below (I think).
Answer:
$77, 456
Step-by-step explanation:
Let P(x) = profit
P(x) = revenue - cost
⇒ P(x) = (952x - 0.68x²) - (-153x + 371450)
⇒ P(x) = -0.68x² + 1105x - 371450
Differentiate P(x)
⇒ P'(x) = -1.36x + 1105
Set P'(x) = 0 and solve for x:
⇒ -1.36x + 1105 = 0
⇒ 1.36x = 1105
⇒ x = 812.5
Therefore, maximum profit when x = 812.5
Substitute x = 812.5 into P(x):
P(812.5) = -0.68(812.5)²+ 1105(812.5) - 371450 = 77456.25
What’s the question here?