Question

question 5 (1 point)
describe the strength and direction of the correlation of the scatter plot represented by the table of residuals:
hot dogs (x) 4 6 12 15
cost (y) 8 16 25 29
residual 0 1.2 1 -1
a weak negative
b strong positive
c strong negative
d weak positive

Explanation:

• Residuals close to \(0\) indicate a good fit. Here, residuals (\(0\), \(1.2\), \(1\), \(- 1\)) are relatively small.
• As \(x\) (number of hot - dogs) increases, \(y\) (cost) also increases (from \(8\) to \(16\) to \(25\) to \(29\) as \(x\) goes from \(4\) to \(6\) to \(12\) to \(15\)), showing a positive trend.
• Since residuals are not extremely close to \(0\) (but still small), the correlation is not extremely strong.

Answer:

d. Weak Positive