Linear Relationship and Bivariate Data

A kayak rental service charges $5 for a life jacket and $7.50 per hour to rent a kayak. What is the correct equation that represents this situation?

• y = 5x + 7.50

• y = - 7.50x - 5

• y = 7.50x + 5

• x = 7.50y + 5

• A
• B
• C
• D

• A) y = 1.4x + 55
• B) y = 1.4x - 84
• C) y = 0.72x + 60
• D) y = 0.72x + 56

• y = 1.45x + 22
• y = -2x + 15
• y = 1.33x + 30
• y = -1.5x + 24

Using the points (6,70) & (9,95), what is the line of best fit equation?

• y = 8.3 x + 20

• y = -8.3 x + 20

• y = 8.3 x + 60

• y = -8.3 x + 60

What relationship is shown in the scatter plot?

• As the cost goes down, the number sold goes down.

• As the cost goes up, the number sold goes down.

• As the cost goes down, the number sold remains the same.

• There is not relationship between cost and the number sold.

A keyboarding instructor at a community college collected data comparing a student's age and their typing speed. The equation for the line of best fit is given as:
y = -1.4x + 117.8
If you are 25 years of age (x), what is your typing speed (y)?

• 153 words per minute

• 83 words per minute

• 63 words per minute

• 102 words per minute

A baseball coach graphs some data and finds the line of best fit. The equation for the line of best fit is
y = 0.32x - 20.51, where x is the number of times at bat and y is the number of hits.
How many hits should be expected from a player who is at bat 175 times?

• 35 hits

• 49 hits

• 609 hits

• 62 hits

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 = 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.

Joe tracked the height of his Dalmatian puppy from age 13 weeks to 25 weeks. He graphed the data and the line of best fit is y = 1.12x + 28.78. How tall was the puppy when he was 20 weeks old?

• 51.18 centimeters

• 86.1 centimeters

• 28.78 centimeters

• 48.78 centimeters