From the choices below what is the most plausible value for the correlation betw
ID: 3258223 • Letter: F
Question
From the choices below what is the most plausible value for the correlation between spending on tobacco and spending on alcohol (all data points are considered)? A 0.99 B. 0.8 C. 0.08 D. -0.8 Correlation is a measure of the direction and strength of the linear (straight-line) association between two quantitative variables. The analysis of data from a study found that the between two variables. x and y appeared show straight-line relationship and the correlation was calculated to to be -0.84. This tells us that A. there is little reason to believe that the two variables have a linear relationship B. all of the data values for the two variables lie on a straight line. c. there is a strong linear relationship between the two variables with larger values of x tending to be associated with larger values of the y variable. D. there is a strong linear relationship between x and y with smaller x values tending to be associated with larger values of the y variable E. there isExplanation / Answer
a) the most plausible value for the correlation between spending on tobaco and spending on alcohol is 0.8
because the relationship between spending on tobaco and spending on alcohol is positive and most of the data
pont closed around the staight line but not very close so answer 0.99 is not correct.
b) If there is negative correlation between x and y then correlation coefficient (r) lies between -1 and 0 and if it
closed to -1 then there is strong negative correlation between x and y that is smaller the values of x implies larger
the values of y and larger the values of x implies smaler the values of y. that is direction of x and y are opposite
Since here correlation coefficient = r = -0.84 so there is strong negative correlation between x and y
So correct option is D
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