A researcher wants to know if there is a relationship between the number of shopping centers in a state and the retail sales (in billions $) of that state. A random sample of 8 states is listed below. After determining, via a scatter-plot, that the data followed a linear pattern, the regression line was found. Using the given data and the given regression output answer the following questions.
State Num Sales
1 630 15.5
2 370 7.5
3 616 13.9
4 700 18.7
5 430 8.2
6 558 13.2
7 1200 23.0
8 2976 87.3
1. What is the equation of the regression line?
2. Interpret the slope in the context of the problem.
3. Find the coefficient of determination.
4. Interpret the meaning of R2 in the context of the problem.
5. State the hypotheses to test for the significance of the regression equation.
6. Is there a significant relationship between dependent and independent variables at alpha=0.05? Why?
7. Use a 95% prediction interval to predict the sales for a state with 100 shopping centers
Paste the table with the results of regression analysis.
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
Given the data:
Num shopping centers (X) :
630
370
616
700
430
558
1200
2976
Sales (Y) :
15.5
7.5
13.9
18.7
8.2
13.2
23.0
87.3
The regression equation obtained using the online regression calculator is :
y = 0.03025X - 4.87014
2.) The slope value, for every unit change in number of shopping centers, the number of sales increases by 0.03025
3.)
The Coefficient of determination (R²) as obtained by the R² value calculator is : 0.9823
4.)
About 98% of variation in number of sales is explained by the regression line
5.)
Correlation Coefficient = 0.9911
H0 : p ≥ 0.99
H1 : p < 0.99
Related Questions
Select all expressions that are equivalent to 2+y+y+y+y+y+3?
Answers
If you add the choices as a comment, I’m happy to help more.
What is the circumference of this circle, in centimeters?
Answers
Answer:
65.9 so it rounds to 66cm
I need to bring my math grade up !!! Does anyone know that answer
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Answer:
2/5 of hangar a = hangar b
Step-by-step explanation:
Explain how to solve 4X5X3. Use math terms in your answer.
Answers
Answer:
4 x 5 x 3 = 60
Step-by-step explanation:
4 x 5 = 20 , 20 x 3 = 60
Um.. would anyone like to help? !
Answers
Answer:
12
Step-by-step explanation:
The function is just saying that 1/3 of a number is 4
Of the list given the only number when you take 1/3 of it equals 4 is 12
There is only one solution
12
If an arithmetic progression satisfies U4=7 , U8=15 .Find U10
Answers
Answer:
U10 = 19
Step-by-step explanation:
The sequence is [tex]Ux=(x*2)-1[/tex]
x is the coefficient to U.
So, [tex]U10=(10*2)-1[/tex]
Which means [tex]U10=20-1[/tex]
Which means [tex]U10=19[/tex]
And there is your answer.
Hope this helps. Have a nice day.
ANSWER BOTH QUESTIONS
Answers
Answer:
a and c
Step-by-step explanation:
Explain the difference between a percent and a unit rate.
Answers
Answer:
A rate is a special ratio in which the two terms are in different units. For example, if a 12-ounce can of corn costs 69¢, the rate is 69¢ for 12 ounces. ... When rates are expressed as a quantity of 1, such as 2 feet per second or 5 miles per hour, they are called unit rates.
Step-by-step explanation:
House contents insurance is charged at the rate of $4.50 per thousand dollars worth of the contents. How much is the insurance if the contents are worth $13 600?
Answers
Answer:
188.5
Step-by-step explanation:
13 times 4.50 is 188.5 and theres 13,000
Andre and Noah started tracking their savings at the same time. Andre started with $15 and deposits $5 per week. Noah started with $2.50 and deposits $7.50 per week. The graph of Noah's savings is given and his equation is y=7.5x+2.5, where x represents the number of weeks and y represents his savings.
1. Write the equation for Andre's savings.
2. Graph it alongside Noah's.
3. What does the intersection point mean in this situation?
Answers
Answer:
1. he started with 15 and 5 per week. w is week
a is andre
a = 15 + 5w
Step-by-step explanation:
Answer: 1. Y= 5x + 15
2. Start at 15 and go up 5
3.when they both had the same amount of money at the same time
Step-by-step explanation:
you have an ant farm with 34 ants. the population of your ants will double every 3 months. the table shows the population growth of the ants over 9 months. decide whether the table represents a linear function or a nonlinear function. after one year how many ants will there be on the farm?
Answers
The area of a wall to be tiled in 1.5 metres by 2.5 metres.
Tiles are 50cm by 50cm
The tiles are £0.99 each.
How much will the tiles cost in pounds
Answers
Answer:
£14.85
Step-by-step explanation:
The total number of tiles needed
= 5 × 3
= 15
∴ The total cost of the tiles
= £0.99 × 15
= £14.85
Use the equation below to find y, if m=6, x=4, and b= 15. y=mx-b
Answers
Answer:
9
Step-by-step explanation:
Y = MX-B,
therefore Y = (6*4) - 15,
so Y = 24 - 15
Y = 9
If the radius of a circle is 9 cm, how long is the diameter
Answers
Answer:
18 cm
Step-by-step explanation:
Helpppppppppp fasttttttttttttttttttt
Answers
Answer:
first 2 , second 50, third 8
Step-by-step explanation:
please help this is due today
Answers
Answer:
A and D
Step-by-step explanation:
A) x = 3
B) x = 0
C) x = ⅓
D = x = 3
Answer:
A and D
Step-by-step explanation:
GEOMETRY!!! Will give brainliest
Answers
Answer:
circle
Step-by-step explanation:
give to reasons why do you think Sin/excise tax is so high
Answers
A foreign-car dealer with warehouses in New York and Baltimore receives orders from dealers in Philadelphia and Trenton. The dealer would to minimize the shipping cost. The dealer in Philadelphia needs 3 cars and the dealer in Trenton needs 8. The New York warehouse has 5 cars and the Baltimore warehouse has 9. The cost of shipping cars from Baltimore to Philadelphia is $120 per car, from Baltimore to Trenton $90 per car, from New York to Philadelphia $100 per car, and from New York to Trenton $70 per car. Let x be the number of cars shipped from Baltimore to Trenton, and y be the number of cars shipped from Baltimore to Philadelphia. 5. Write the six inequalities associated with this problem.
Answers
Answer:
[tex]x \ge 0[/tex]
[tex]y \ge 0[/tex]
[tex]x + y \le 9[/tex]
[tex]8 - x \ge 0[/tex]
[tex]3 - y \ge 0[/tex]
[tex](8 - x) + (3 - y) \le 6[/tex]
Step-by-step explanation:
Given
x = Cars from Baltimore to Trenton
y = Cars from Baltimore to Philadelphia
Required
Write out 6 inequalities
First, 0 or more cars must be shipped to both locations
So:
[tex]x \ge 0[/tex]
[tex]y \ge 0[/tex]
Considering the warehouse in Baltimore.
(1) The warehouse can not ship more than the number of car it has (9).
So:
[tex]x + y \le 9[/tex]
Considering the warehouse in New York.
(1) After shipping cars to Trenton and Philadelphia, the warehouse will have 0 or more cars.
So:
[tex]8 - x \ge 0[/tex] --- To Trenton
[tex]3 - y \ge 0[/tex] --- To Philadelphia
(2) The warehouse cannot send out more than 6.
So:
[tex](8 - x) + (3 - y) \le 6[/tex]
So, the inequalities are:
[tex]x \ge 0[/tex]
[tex]y \ge 0[/tex]
[tex]x + y \le 9[/tex]
[tex]8 - x \ge 0[/tex]
[tex]3 - y \ge 0[/tex]
[tex](8 - x) + (3 - y) \le 6[/tex]
please help
85-v=213
solve for v
Answers
Step-by-step explanation:
subtract the whole equation by 85 on both sides to get v by itself on the left side
85-85-v=213-85
-v=128
Now we divide the whole equation by negative 1
-1v/-1=128/-1
v=-128
Hope that helps :)
What is 985 + 700 + 75 + 10 + 200 - 110?
Answers
Answer: 1460
Step-by-step explanation: I put it in a calculator.
Complete the following problem.
A backpacker hiked 7/8 of a mile the first hour, 3/4 of a mile the second hour and
2/3 of a mile the third hour. How far did he go in three hours?
The backpacker hiked
_ miles in three hours.
.
NEED HELP LIKE NOW WORK IS DUE TOMORROW!!!!!!
Answers
Answer:
55/24 miles or 2 7/24 2.29... miles
Step-by-step explanation:
7/8 = 21/24
3/4 = 18/24
2/3 = 16/24
16+18+21=55
Find the length of side x in simplest radical form with a rational denominator.
Answers
Answer:
x = 2√3
Step-by-step explanation:
x² = √6² + √6²
x² = 6 + 6 = 12
x = √12 = 2√3
Can someone please answer this!!
Answers
PLEASE HELP!
Find the area of each figure.
18 square units
9 square units
12 square units
24 square units
MATCH THE NUMBERS TO THE GRAPHS!!!!!
Answers
I do know the first figure is 24 square feet.
To get your answer,
Count the amount of the blocks stacked on top each other to make the length, in this case the first photo would be 3, and the width of the block, which is 8. To get the area, you would multiply the length and width together.
Image Form:
l x w = a
(length x width = area)
I hope this is a clear explanation!
Answer:
first one is 24
second one is 12
third one is 9
fourth one is 18
Step-by-step explanation:
what is 31/5= to pls show example
Answers
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{What is }\mathsf{\dfrac{31}{5}}\large\text{ ?}[/tex]
[tex]\large\text{In order for you to solve for this equation you have to DIVIDE}\\\large\text{the NUMERATOR (the TOP number) from the DENOMINATOR}\\\large\text{(the BOTTOM number)}[/tex]
[tex]\mathsf{\dfrac{31}{5}=31\div5\rightarrow \bf 6\ with\ a\ remainder\ of\ 1. \ (6\ r\ 1)}[/tex]
[tex]\large\text{Thus, }\mathsf{\dfrac{31}{5}}\large\text{ is equivalent or equal to }\mathsf{6\dfrac{1}{5}}[/tex]
[tex]\boxed{\boxed{\mathsf{Answer: \bf 6\dfrac{1}{5}}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Mrs.Martin placed her class into five groups. If each group has 6 people. how many students are in the class
Answers
Answer:
30
Step-by-step explanation:
5x6=30
5•6=30
30/5=6
The hanger image below represents a balanced equation. Find the value of n that makes the equation true.
Answers
Answer:
6
Step-by-step explanation:
16=n +10
subtract 10 from both sides and your left with 6=n
The thickness of the backfat in pigs is used in evaluating the quality of their flesh for consumption. To compare the backfat thickness of pigs raised on two different diets, an animal researcher randomly sampled a group of pigs raised on Diet 1 and another group raised on Diet 2:
Sample Mean Sample SD Sample Size
Diet 1 3.63 cm 0.29 cm 18
Diet 2 3.37 cm 0.25 cm 18
POOLED SE 0.09
A) After confirming all relevant assumptions, you want to test if the mean backfat thicknesses of the pigs raised on these two diets differs. What is the absolute value of the test statistic?
B) If the critical value for this test is 2.032 (confirm that it is), what would be an appropriate conclusion for this test?
A. An conclusion is not warranted for this test
B. This data provides evidence that mean backfat thickness of pigs on Diet 1 is different from pigs on Diet 2 (p<.05)
C. This data provides no evidence that mean backfat thickness of pigs on Diet 1 is different from pigs on Diet 2 (p<.05)
D. This data provides evidence that diet is independent of backfat thickness (p<.05)
E. There is no evidence that diet is independent of backfat thickness (p>.05)
Answers
Answer:
A) The test statistic is approximately 7.5056
B) E. There is no evidence that diet is independent of backfat thickness
Step-by-step explanation:
The given data are;
The sample mean for pigs raised on Diet 1, [tex]\overline x_1[/tex] = 3.63 cm
The sample SD for pigs raised on Diet 1, s₁ = 0.29 cm
The number of pigs in the sample for pigs raised on Diet 1, n₁ = 18
The sample mean for pigs raised on Diet 2, [tex]\overline x_2[/tex] = 3.37 m
The sample SD for pigs raised on Diet 2, s₂ = 0.25 cm
The number of pigs in the sample for pigs raised on Diet 2, n₂ = 18
The pooled SE = 0.09
A) The test statistic is given by the following formula;
[tex]t=\dfrac{(\bar{x}_{1}-\bar{x}_{2})}{\sqrt{\dfrac{s_{1}^{2} }{n_{1}}-\dfrac{s _{2}^{2}}{n_{2}}}}[/tex]
Therefore, we have;
[tex]t=\dfrac{(3.63-3.37)}{\sqrt{\dfrac{0.29^{2} }{18}-\dfrac{0.25^{2}}{18}}} \approx 7.5056[/tex]
The test statistic, t ≈ 7.5056
B) The degrees of freedom, df = n₁ - 1 = 18 - 1 = 17
At a confidence level of 95%, the critical value is 2.11
Given that the value of the test statistics tic if larger than the critical value, the null hypothesis is rejected and there is a difference in the backfat of the pigs on different diet
Therefore, there is no evidence that diet is independent of backfat thickness
The opposite of 1.5 is ? So the opposite 1.5 ? Which is equal to the opposite of ? Which is ? The second statement is ?
