Question

1 what does the correlation coefficient tell you and what is the strength of the linear fit?

calories per beef hot dog	milligrams of sodium per beef hot dog
181	477
176	425
149	322
184	482
190	587
158	370
139	322

a) the coefficient is 0.89 and tells me the correlation is negative, weak negative.
b) the coefficient is 0.89 and tells me the correlation is positive, weak positive.
c) the coefficient is 0.94 and tells me the correlation is positive, strong positive.
d) the coefficient is 0.94 and tells me the correlation is negative a strong negative.

Explanation:

To determine the correlation coefficient and its interpretation, we analyze the relationship between calories and sodium in beef hot dogs. As calories increase, sodium generally increases, indicating a positive correlation. A correlation coefficient close to 1 (like 0.94) indicates a strong positive linear relationship. Option C states the coefficient is 0.94, positive, and strong positive, which matches the data's trend (higher calories tend to have higher sodium) and the strength of the linear fit (0.94 is close to 1, strong).

Answer:

C. The coefficient is 0.94 and tells me the correlation is positive, strong positive