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What Is the Relationship Between Diamond Price and Carat Size α=0.05\alpha = 0.05

Question 80

Multiple Choice

What is the relationship between diamond price and carat size? 307 diamonds were sampled and a straight-line relationship was hypothesized between y = diamond price (in dollars) and x = size of
The diamond (in carats) . The simple linear regression for the analysis is shown below: Least Squares Linear Regression of PRICE
Predictor
 What is the relationship between diamond price and carat size? 307 diamonds were sampled and a straight-line relationship was hypothesized between y = diamond price (in dollars) and x = size of The diamond (in carats) . The simple linear regression for the analysis is shown below: Least Squares Linear Regression of PRICE Predictor    Which of the following conclusions is correct when testing to determine if the size of the diamond is a useful positive linear predictor of the price of a diamond? A)  There is insufficient evidence to indicate that the price of the diamond is a useful positive linear predictor of the size of a diamond when testing at  \alpha = 0.05 . B)  There is insufficient evidence to indicate that the size of the diamond is a useful positive linear predictor of the price of a diamond when testing at  \alpha = 0.05 . C)  The sample size is too small to make any conclusions regarding the regression line. D)  There is sufficient evidence to indicate that the size of the diamond is a useful positive linear predictor of the price of a diamond when testing at  \alpha = 0.05 .

Which of the following conclusions is correct when testing to determine if the size of the diamond is a useful positive linear predictor of the price of a diamond?


A) There is insufficient evidence to indicate that the price of the diamond is a useful positive linear predictor of the size of a diamond when testing at α=0.05\alpha = 0.05 .
B) There is insufficient evidence to indicate that the size of the diamond is a useful positive linear predictor of the price of a diamond when testing at α=0.05\alpha = 0.05 .
C) The sample size is too small to make any conclusions regarding the regression line.
D) There is sufficient evidence to indicate that the size of the diamond is a useful positive linear predictor of the price of a diamond when testing at α=0.05\alpha = 0.05 .

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