in many fast food restaurants there is a strong correlation

in many fast food restaurants, there is a strong correlation between a menu item\'s fat content (measured in grams) and its calorie content. We want to investigate this relationship. Using all of the food menu items at a well-known fast food restaurant, the fat content and calorie contents were measured. We decide to fit the least-squares regression line to the data, with fat content (x) as the explanatory variable and (y) as the response variable. A scatterplot of the data (with regression line included) and a summary of the data are provided. One of the menu items is a hamburger with 107 grams of fat and 1410 calories.
$\"q18-1.png\"$

r = 0.979 (correlation between x and y)
$\"q18-2.png\"$ = 40.35 grams (mean of the values of x)
$\"q18-3.png\"$ = 662.88 calories (mean of the values of y)
$\"q18-4.png\"$ = 27.99 grams (standard deviation of the values of x)
$\"q18-5.png\"$ = 324.90 calories (standard deviation of the values of y)

The intercept of the least-squares regression line is:

	662.88.
	–662.88.
	None of the answer choices is correct.
	204.50.

As we can see in the graph, the line intersected the y axis somewhere between 0 and 500, but nearer to 0 than 500.

Among the choices, it must be that the answer is

OPTION D: 204.50 [ANSWER]

$in many fast food restaurants, there is a strong correlation between a menu item\'s fat content (measured in grams) and its calorie content. We want to investi$

in many fast food restaurants there is a strong correlation

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