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A strong positive correlation.
Step-by-step explanation:
The question requires you to calculate the correlation coefficient and then make a conclusion about its value.
Form a table as shown where x is cost of items and y is shipping cost
x y xy x² y²
25 5.99 149.8 625 35.9
45 8.99 404.6 2025 80.8
50 8.99 449.5 2500 80.8
70 10.99 769.3 4900 120.8
190 34.96 1773.2 10050 318.3 ------sum
The formula for correlation coefficient follows;
r=n(∑xy)-(∑x)(∑y) ÷ √{[n∑x²-(x)²] [n∑y²-(y)²]}
where n=4
r=4(1773.2)-(190)(34.96) ÷ √{[4(10050)-190²] [4(318.3)-34.96²]}
r=450÷ √{4100*51)
r=450÷√209100
r=450÷457.3
r=0.98409
The value of r indicates a stronger positive correlation
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Correlation coefficient :brainly.com/question/12528676
Keywords :shipping costs,cost of items, strength of the model
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You move 2x to the other side of the =, divide both side by 3 and make sure it’s in slope intercept form
2x+3y=12
-2x. -2x
——————-
3y= 12 -2x
—. — —-
3. 3. 3
y=4 - 2/3x
y= -2/3x + 4
let's recall the vertical line test, it's a function if when dropping a vertical line on the graph, it only touches it once on the way down.
Check the picture below.
