Interpret Slope and Y Intercept from a Line of Best Fit

Interpret the slope of the line of best fit in the context.

• The number of hot chocolate cups sold decreases by 1.91278 with every degree increase.

• The number of hot chocolate cups sold increases by 1.91278 with every degree increase.

Connie sells hot chocolate at a stand in a park. She records the number of cups of hot chocolate she sells, as well as the average daily low temperature. Interpret the y-intercept.

• When the temperature is -0.895 degrees, Conne will sell 178 cups.

• When the temperature is 0 degrees, Connie will sell 176 cups of hot chocolate.

• When the temperature is 49 degrees, Connie will not sell any hot chocolate.

• The y-intercept cannot be interpreted from this data.

Connie sells hot chocolate at a stand in a park. She records the number of cups of hot chocolate she sells, as well as the average daily low temperature. Write the equation for the line of best fit using the values generated with technology.

Suppose Connie knows that tomorrow’s temperature is predicted to be 40℉. Based on the line of best fit, how many cups of hot chocolate should she anticipate selling?

• 90

• 95

• 99

• 87

A group of students did an experiment to see how drinking cups of coffee right before bed affected sleep.  The results are shown below in the scatter plot with a line of best fit.  Use the given line of best fit to approximate the rate of change relative to the scatter plot.

• (7/5) hours/cup

• (5/7) hours/cup

• - (7/5) hours/cup

• - (5/7) hours/cup

Joe tracked the height of his Dalmatian puppy from age 13 weeks to 25 weeks. He graphed the data and determined the line of best fit is y hat= 1.12x + 28.78. What does the slope represent in this situation?

• The puppy weighed 28.78 pounds at age 13.

• For every week that goes by, the puppy gains 1.12 pounds.

• The puppy gains a pound every 1.12 weeks.

• The puppy weighs 1.12 pounds when it was born.

the slope is -5/7, what does that mean?

• gain 5 hour of sleep for 7 cups of coffee

• lose 5 hours of sleep for 7 cups of coffee

• lose 7 cups of coffee for 5 hours of sleep

• lose 5 cups of coffee for 7 hours of sleep

• gain 5 hours of sleep for every 7 cups of coffee

• lose 5 hours of sleep for every 7 cups of coffee

• gain 5 cups of coffee for every 7 hours of sleep

• lose 5 cups of coffee for every 7 hours of sleep

Oren plants a new vegetable garden each year for 14 years.  This scatter plot shows teh relationship between the number of seeds he plants and the number of plants that grow.  Which number best represents the slope of the line of best fit through the data?

• -10

• -1/10

• 1/10

• 10

What does the slope mean in the context of the situation graphed?

• You burn 500 calories every 60 minutes of exercise.

• You eat 500 calories when you eat out 60 times.

• You burn 100 calories every 10 minutes of exercise.

• You should not exercise.