The scatter plot to the right shows the fat and calorie content of several snack
ID: 3108944 • Letter: T
Question
The scatter plot to the right shows the fat and calorie content of several snack foods. The function y = 10x + 190 represents the relationship of the given data. What does Fat the 10 in the function represent in the relationship between grams of fat and calories in the snack food studied? A principal surveyed 75 seventh-grade and eighth-grade students. She asked them if they prefer to obtain the news from the Internet or to obtain the news from television. She created a table to display the data, as shown below. What is the relative frequency of eighth-grade students who prefer to obtain the news from the Internet to all the eighth-grade students surveyed?Explanation / Answer
3. The Regression line is
y = 10x + 190, (1)
where
x = fat in grams
y = calorie content.
Significance of the slore, 10, in the Regression Equation (1):
For each increase in gram of fat, the calorie content increase, on avrage, by 10 points.
The slope, here 10, represents the rate of change of the dependent variable y, here calorie content, as the independent variable x, here fat, increases.
4. Inernet Television Total
Seventh grade 16 34 50
Eighth grade 10 15 25
Total 26 49 75
Relative frequency of eighth grade student who prefer to obtain news from the internet to all the eighth grade students surveyed = 10/25 = 0.4
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