# Using the data below. Answer the following questions. Use Total fat as the x-variable and calories as the y.

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Using the data below. Answer the following questions. Use Total fat as the x-variable and calories as the y. Round to 2 decimal places.

 Fat calories Hamburger 9 260 Cheeseburger 13 320 Quarter Pounder 21 420 Quarter Pounder with Cheese 30 530 Big Mac 31 560 Arch Sandwich Special 31 550 Arch Special with Bacon 34 590 Crispy Chicken 25 500 Fish Fillet 28 560 Grilled Chicken 20 440 Grilled Chicken Light 5 300

What is the line of best fit?

Is this a good fit? How do you know?

Is the correlation positive or negative?

What does the r-squared mean in context of the problem?

If a sandwich has 32 grams of fat, how many total calories will it have?

The summary results for this question has been obtained using the Excel data analysis Toolpak.

so based on the output above, the regression equation predicting calories using Fat content can be obtained as;-

calories = 193.85 + 11.731 * Calories

The correlation is positive because the slope coefficient is positive,

The R squared for the model is 0.95, which means 95% of the variation in calories can be explained by the fat content.

The regression equation is;-

Calories = 193.85 + 11.731 *32 =  569.24