Please show how to solve step by step A. State whether the scatter diagram shows

Question

Please show how to solve step by step

A. State whether the scatter diagram shows strong positive correlation, weak positive correlation, strong negative correlation, weak negative correlation, or no correlation. Strong positive correlation No correlation Weak positive correlation Strong negative correlation Weak negative correlation B. Solve the problem.The table shows the number of college students who prefer a given pizza topping toppings freshman sophomore or erior cheeae meat veggie 19 14 14 14 22 19 14 Find the empirical probability that a randomly selected student prefers meat toppings 0.327 0.319 0.337 0.107

Explanation / Answer

(A) Above diagram shows a strong negative correlation. (Reason: if we draw a line we see that 3 points are above the line and 3 are below the line and some are on the line, and line draws from maximum of the x-axis to maximum of the y-axis, hence here strong negative correlation).

(B) the probability that a randomly selected prefers meat topping

= (number of students of meat topping)/(total number of students)

=(22+19+14+14)/(14+14+20+19+22+19+14+14+14+14+22+19) = 69/205 = 0.33658

which is approximately equal to the 0.337.

(C) correlation-coefficient(r) = 0.847

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