Answer to Question #157035 in Statistics and Probability for Linear Models

Question

Graded AssignmentUnit Test, Part 2: Linear Models

Answer the questions below. When you are finished, submit this assignment to your teacher by the due date for full credit.

Please make certain to show your work as part of your grade is associated with showing the steps to complete a problem. You want to set things up so that someone else can see the process you used to arrive at your answer.

Total score: ____ of 15 points

(Score for Question 1: ___ of 6 points)

1.    A poll asked 15 pet owners what kind of pet they have and whether they feed their pet kibble or meat. The results are recorded in the table.

<b><span style="font-size:12.0pt;color:black;mso-themecolor:text1">Person<o:p></o:p></span></b>

Pet

Food

1

Cat

Kibble

2

Cat

Kibble

3

Dog

Kibble

4

Cat

Meat

5

Dog

Meat

6

Dog

Kibble

7

Dog

Meat

8

Dog

Meat

9

Catr

Meat

10

Cat

Meat

11

Dog

Meat

12

Cat

Kibble

13

Dog

Meat

14

Cat

Kibble

15

Dog

Meat

(a)  Create a two-way table of the data. Of the pet owners surveyed, how many owned dogs? How many fed their pets meat?

a.    Please include labels and totals.

(b)  Create a two-way relative frequency table that displays the relative frequency of the cat owners and dog owners who fed their pets kibble or meat. Express your answers as decimals written to three decimal places.

(c)  What is the percentage of dog owners who fed their pets meat?

Answer:

Part A, How many owned dogs?

 

 

Part A, How many fed their pets meat?

 

 

Part C

 

 

 

Two way table, Part A

Kibble

Meat

Total

Cat

Dog

Total

Relative frequency table, Part B

Kibble

Meat

Total

Cat

Dog

Total

Note: these tables are asking for two different things. Please review 1.02, and come into Math Help Lab, if you’re unsure what the difference is or otherwise need assistance.

(Score for Question 2: ___ of 5 points)

2.    Consider this scatter plot.

Test Scores in Relation to Homework

Test Scores

Hours of Homework

(a)  Is the relationship linear or not linear? Justify your response.

(b)  Is the relationship increasing or decreasing? Find the slope and use it to help justify your answer.

(c)  Paul uses the function y = 7x + 30 to model the situation. What score does Paul’s model predict for 3 hours of homework? Hint: It’s _not_ asking you to use the graph.

(d)  Describe what the number 30 in Part (c) mean in the context of the situation? Hint: Think about what kind of function equation you have in Part C.

Answer:

Part A)

Part B)

Part C)

Part D

Answer 1

1.a)

 

There are 8 owners of dog; 9 owners fed their pets meat.

b)

c) 75% of dog owners fed their pets meat.

2.a), b) We have not scatter plot.

c) Score$=y=7\cdot3+30=51$

d) The number 30 in the equation $y = 7x + 30$ means minimal possible test score (when Hours of Homework $=0$ )