Question

a researcher wants to examine the relationship between fat and calories in fast food. data was analyzed using linear regression. fat grams in the food represented x (the independent variable) and total calories in the food item was represented by y. the slope was 13 and the y intercept was 143. predict how many calories would be in a sandwich containing 32 grams of fat?

Answer 1

The predicted number of calories in a sandwich containing 32 grams of fat is 559.

What is the slope intercept form?

In algebra, the slope-intercept form of a linear equation is a typical approach to express a line on a graph. A linear equation is written as y = mx + b in standard form.

The y-intercept, or place where the line crosses the y-axis, is represented by the letters b and m, respectively. The point where the lines contacts the y-axis is known as the y-intercept, and the slope is a measurement of how steep the line is. Because it explicitly displays the slope and y-intercept, this equation's form is known as the slope-intercept form.

y = mx + b

Where m is the slope, x is the value of the independent variable, and b is the y-intercept. In this case, the slope is 13 and the y-intercept is 143. So, the equation of the line of best fit is:

y = 13x + 143

To predict the number of calories in a sandwich containing 32 grams of fat, you can plug in 32 for x in the equation:

y = 13 * 32 + 143

y = 416 + 143

To  learn more about the slope intercept form, visit:

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