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Determining the LSRL From Summary Statistics

APSTAT-LOKEAS

A nutritionist wanted to investigate the relationship between the number of fat grams ($x$) and the total number of calories ($y$) found in foods offered at fast-food restaurants. She randomly selected $16$ food items found at local fast food restaurants and gathered information about these food items from the nutritional information provided by the restaurants, Here are some statistics related to her findings:

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If the correlation for the relationship between number of fat grams and total number of calories is $0.947$, what is the equation of the LSRL?

A

$\hat { y } =-5.196+0.059x$

B

$\hat { y } =0.059-5.196x$

C

$\hat { y } =15.138+125.869x$

D

$\hat { y } =125.869+15.138x$

E

$\hat { y } =441.875+20.875x$