Line of Best Fit Interpreting

Describe the relationship between the variables.

• There is no relationship between the variables

• As the age increases, the height increases

• As the age increases, the height decreases

• As the height decreases, the age decreases

The scatter plot below shows the relationship between inches of snow and snow shovels sold. The equation for the line of best fit is y = 0.8x + 1. What is the meaning of 0.8 in the equation?

• The snow shovels sold tends to be 0.8 times the inches of snow

• For each additional inch of snow, the snow shovels sold tends to increase by 0.8

• The equation predicts that zero inches of snow will result in the snow shovels sold to be −0.8

• For each additional inch of snow, the snow shovels sold tends to decrease by 0.8

The scatter plot below shows the relationship between years of experience and points scored. The equation for the line of best fit is y = 0.6x + 4 What is the meaning of 4 in the equation?

• The equation predicts that zero years of experience will result in the points scored to be 4

• The equation predicts that zero years of experience will result in the points scored to be −4

• For each additional year of experience, the points scored tends to increase by 4

• For each additional point scored, the years of experience tends to increase by 4

The equation of this line is y = -2.2x + 12.4. Interpret the meaning of the slope of the line of best fit.

• for each hour of practice, you will make 12.4 mistakes

• without practicing, you would expect to make 12.4 mistakes

• for each hour of practice, the number of mistakes decreases by 2.2

• for each hour of practice, the number of mistakes increases by 2.2

The equation of this line is y = -2.2x + 12.4. Interpret the meaning of the y-intercept of the line of best fit.

• for each hour of practice, you will make 12.4 mistakes

• without practicing, you would expect to make 12.4 mistakes

• for each hour of practice, the number of mistakes decreases by 2.2

• for each hour of practice, the number of mistakes increases by 2.2

The equation of the line shown is y = 1.4x + 55.2

Interpret the meaning of the slope of the line of best fit.

• without studying, the expected test score would be 55.2%

• for every hour studied, test score decreases by 1.4%

• for every hour studied, test score increases by 1.4%

• without studying, the test score would be expected to be 1.4%

The equation of the line shown is y = 1.4x + 55.2

Interpret the meaning of the y-intercept of the line of best fit.

• without studying, the expected test score would be 55.2%

• for every hour studied, test score decreases by 1.4%

• for every hour studied, test score increases by 1.4%

• without studying, the test score would be expected to be 1.4%

Which shows a line of best fit drawn correctly?

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Based on the trend of the data, what is most likely to be the number of calories burnt by a person who runs for 20 minutes?

• 100 calories

• 123 calories

• 10 calories

• 172 calories

Based on the trend of the data, what is most likely to be the number of minutes spent on a treadmill by a person who burns 150 calories?

• 10 minutes

• 15 minutes

• 20 minutes

• 25 minutes