Answer :
Hypotheses:
H o - There is no linear correlation.
H 1 - There is linear correlation.
We will reject H o if the absolute value of r is greater than the critical value in the table. For α = 0.05 and n = 6 , the critical value is 0.811.
The linear coefficient r:
r = [(n * ∑ x y)-∑x∑y ]/√(n*∑x² - (∑x)²) * √(n*∑y² - (∑y )²) =
= ( 6 * 9,631.2 - 50.7 * 1,118) : (√(6 * 433.21 - 50.7²) * √(6*216,656 - 1,118²)
r = 1,104 : 1,199.517
r = 0.92
r > 0.811
Answer:
Because the absolute value of the linear correlation coefficient is greater than the positive critical value, there is sufficient evidence to claim that there is linear correlation between overhead width of the seals and the weight of the seals for the significance level of α = 0.05.
H o - There is no linear correlation.
H 1 - There is linear correlation.
We will reject H o if the absolute value of r is greater than the critical value in the table. For α = 0.05 and n = 6 , the critical value is 0.811.
The linear coefficient r:
r = [(n * ∑ x y)-∑x∑y ]/√(n*∑x² - (∑x)²) * √(n*∑y² - (∑y )²) =
= ( 6 * 9,631.2 - 50.7 * 1,118) : (√(6 * 433.21 - 50.7²) * √(6*216,656 - 1,118²)
r = 1,104 : 1,199.517
r = 0.92
r > 0.811
Answer:
Because the absolute value of the linear correlation coefficient is greater than the positive critical value, there is sufficient evidence to claim that there is linear correlation between overhead width of the seals and the weight of the seals for the significance level of α = 0.05.