Adam would like to buy a used car, and collected several datato evaluate the bes

Question

Adam would like to buy a used car, and collected several datato evaluate the best model (such as age, price, weight, etc.)Thanks to a scatterplot, he established that the relation betweenage, and weight is somewhat linear. He caluculated that thecorrelation between age and weight is 0.514. Describe theassociation. a. Weak linear relation in a positive direction b. Weak linear relation c. No evidence of relation d. Strong linear relation in a positive direction e. Weak linera relation in a negative direction. 2. A science instructor assigns a group of students toinvestigate the linear relationship between the pH of the water ofa river and its water's hardness (measured in grains) . Somestudents wrote these conclusions: My corrrelation of -0.84 showsthat there is almost no association between pH of the water andwater's hardness. Is the interpretation of the correlationappropriate? a. No: the pH and the hardness of the water are data collectedfrom the same river b. Yes; a correlation of -0.84 shows a weak relation in anegative direction c. Yes: pH and hardness of water do not have the sameunits d. No: correlation is always positive e. No: a correlation of -0.84 shows a strong relation in anegative direction Adam would like to buy a used car, and collected several datato evaluate the best model (such as age, price, weight, etc.)Thanks to a scatterplot, he established that the relation betweenage, and weight is somewhat linear. He caluculated that thecorrelation between age and weight is 0.514. Describe theassociation. a. Weak linear relation in a positive direction b. Weak linear relation c. No evidence of relation d. Strong linear relation in a positive direction e. Weak linera relation in a negative direction. 2. A science instructor assigns a group of students toinvestigate the linear relationship between the pH of the water ofa river and its water's hardness (measured in grains) . Somestudents wrote these conclusions: My corrrelation of -0.84 showsthat there is almost no association between pH of the water andwater's hardness. Is the interpretation of the correlationappropriate? a. No: the pH and the hardness of the water are data collectedfrom the same river b. Yes; a correlation of -0.84 shows a weak relation in anegative direction c. Yes: pH and hardness of water do not have the sameunits d. No: correlation is always positive e. No: a correlation of -0.84 shows a strong relation in anegative direction

Explanation / Answer

1. (a) Since a correlation of 0.514 suggests a positive relation(but since it is not too close to one, it is a weak one). 2. (e). A correlation of -0.84 is pretty strong (it is close to -1)and is in the negative direction.

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