Saleem wants to compare the data in the four tables below. He graphs the data in each table and writes the rounded values for a, b, and r below each table, as shown. Table A Math Scores vs. Science Scores A 2-column table with 5 rows. Column 1 is labeled Math Scores with entries 52, 60, 72, 83, 91. Column 2 is labeled Science Scores with entries 60, 59, 82, 90, 77. y = a x + b. a = 0.68. b = 25.25. r = 0.79. Table B Math Scores vs. Science Scores A 2-column table with 5 rows. Column 1 is labeled Math Scores with entries 61, 66, 70, 85, 98. Column 2 is labeled Science Scores with entries 55, 69, 71, 88, 92. y = a x + b. a = 0.94. b = 3.19. r = 0.95. Table C Math Scores vs. Science Scores A 2-column table with 5 rows. Column 1 is labeled Math Scores with entries 42, 68, 71, 83, 92. Column 2 is labeled Science Scores with entries 48, 70, 69, 88, 96. y = a x + b. a = 0.97. b = 4.84. r = 0.99. Table D Math Scores vs. Science Scores A 2-column table with 5 rows. Column 1 is labeled Math Scores with entries 40, 66, 72, 88, 91. Column 2 is labeled Science Scores with entries 40, 70, 77, 85, 93. y = a x + b. a = 0.98. b = 2.84. r = 0.99. Which set of data has the weakest association with its trend line? the data in table A the data in table B the data in table C the data in table D

Respuesta :

Answer:

The data set A has the weakest association with its trend line.

Step-by-step explanation:

Association implies a relationship between two variables which are statistically dependent.

It does not specifies the type of relationship.

The correlation coefficient is a statistical degree that computes the strength of the linear relationship amid the relative movements of the two variables (i.e. dependent and independent).

So, correlation specifies the type of relationship between two variables, i.e. linear.

From the provided data:

Data A:

Correlation coefficient, r = 0.79.

Data B:

Correlation coefficient, r = 0.95.

Data C:

Correlation coefficient, r = 0.99.

Data D:

Correlation coefficient, r = 0.99.

On comparing the correlation values, it is clear that the correlation for data set A is the lowest among all the four.

Thus, the data set A has the weakest association with its trend line.

Answer:

BTW the answer is data set A

Step-by-step explanation:

The numbers in data set A are very spread apart unlike the other data sets. Data set A is obviously the right choice.