Answers
Answer:
(a) y = 34.27 + 7.79x
(b) r = 0.98 (nearest hundredth)
(c) strong, positive correlation - as the students spends more time studying, their test scores increase.
Step-by-step explanation:
Correlation measures how closely two variables are linked.
If two variables are correlated, you can draw a line of best fit on the scatter plot.
Explanatory (independent) variable is drawn on the x-axisResponse (dependent) variable is drawn on the y-axis.Linear regression is a method for finding the equation of a line of best fit on a scatter plot.
The regression line of y on x is: y = a + bx
where a = y-intercept and b = gradient
If b is positive, the variables are positively correlated.
If b is negative, the variables are negatively correlated.
Part (a)Inputting the data from the table into a calculator and using the statistical function:
a = 34.27272727
b = 7.792207792
Therefore, the linear equation is:
y = 34.27 + 7.79x
Part (b)The correlation coefficient is the Product Moment Correlation Coefficient (r) and measures the strength of the linear correlation between two variables.
Again, inputting the data from the table into a calculator and using the statistical function:
r = 0.9815741571
⇒ r = 0.98 (nearest hundredth)
Part (c)The r value is always between +1 and -1. The closer it is to +1 or -1, the stronger the correlation between the two variables.
Values close to +1 mean a strong, positive correlation.Values close to -1 mean a strong, negative correlation.Values close to zero mean a weak correlation.Therefore, as r is very close to +1, the correlation coefficient suggests a strong, positive correlation. In the context of the problem, this suggests that as the students spends more time studying, their test scores increase.
Related Questions
The square of a number added to 3 times the number is 28. Find the number.
Answers
Answer:
[tex]\sqrt{x}[/tex]+3x=28
that is the equation :)
HELP ME
Gia collected data on the weights, in ounces, of five newborn puppies. The weights are shown in the list below.
5, 6, 7, 11, 11
Which statement regarding the mean, median, and range of the weights of the puppies is true?
Group of answer choices
The median is greater than the mean, and the range is 6.
The mean is greater than the median, and the range is 6.
The median is greater than the mean, and the range is 11
The mean is greater than the median, and the range is 11.
Answers
Answer:Mean is greater than the median and the range is 6
Step-by-step explanation: Mean is the average 5+6+7+11+11/5 = 8
Mode is the number occurring most 11
Median is the middle number 7
Range is the highest -lowest 11-5=6
Answer: Mean is greater than the median and the range is 6.
Can someone please help me with this?? Thanks :)
Answers
Answer:
m<2=60
m<1=120
m<3=120
Step-by-step explanation:
Since m<4=60 that transfers to m<2 also because they are equal. To find the other to angles you have to subtract 60 from 180 because m<1 and m<4 create a straight line that equals 180. That then also transfers to m<3.
Thank you have an amazing day.
PLSSS HELP IF YOU TURLY KNOW THISS
Answers
Answer: hii :)
Simplify the expression.
Step-by-step explanation: its c!Exact Form:
4/5
Decimal Form:
0.8
Hopefully this helps you
- Matthew <3
Multiply the binomials:
Answers
Answer:
2y² + y - 15
Step-by-step explanation:
ConceptsMultiplying Binomials:To multiply binomials, it's best to use the FOIL method, which stands for First, Outside, Inside, and Last. Let's analyze the first, outside, inside, and last term in the binomial we're given by bolding them (in addition, the numbers we bolded are the numbers we multiply; i.e. for the first term, we multiply y and 2y):
First: (y + 3)(2y - 5)Outside: (y + 3)(2y - 5)Inside: (y + 3)(2y - 5)Last: (y + 3)(2y - 5) SolvingSolving the BinomialStep 1: Apply FOIL method.
[tex](y)(2y) + (y)(-5) + (3)(2y) + (3)(-5)[/tex] [tex]2y^2 -5y +6y -15[/tex]Step 2: Simplify.
[tex](2y^2)+ (-5y+6y)+(-15)[/tex] [tex]2y^2+y-15[/tex]Therefore, the answer is 2y² + y - 15.
Answer:2[tex]y^{2}[/tex]+y-15
Step-by-step explanation:
(using distributive property)
(y+3)(2y-5)
y(2y-5)+3(2y-5)
2y^2-5y+6y-15
2y^2+y-15
The average speed for a family trip is 62 miles per hour. Which equation models the distance traveled d and time in hours t?
Answers
Answer: d = speed × t or d= velocity × time
d = 62t
Step-by-step explanation: See above
Mr.Santino needs A total of 406 Forks restaurant. He currently has 302 forks. If each cell has 12 forks which is the minimum number of sets of forks you should buy?
Answers
help pleaseeeeee will ark brainliest
Answers
Answer:40
Step-by-step explanation:
Your correct and final answer for this question is 40
(✿◕‿◕✿) Pls mark me Brainiest (✿◕‿◕✿)
I’m really stuck on this question
Answers
Answer:
The answer is 13
Step-by-step explanation:
Subtract
98 - 85 =
13°
At a customer service call center for a large company, the number of calls received per hour is normally distributed with a mean of 60 calls and a standard deviation of 10 calls. What is the probability that during a given hour of the day there will be between 53 calls and 61 calls, to the nearest thousandth?
Answers
Answer:that one man that got blast
Step-by-step explanation:
Answer:≈
0.298
≈0.298
Step-by-step explanation:�
=
60
�
=
10
μ=60σ=10
Draw a picture:
Draw a picture:
μ−3σ
μ−2σ
μ−σ
μ
μ+σ
μ+2σ
μ+3σ
30
40
50
60
70
80
90
53
61
Use Calculator:
Use Calculator:
lower:
lower:
53
53
upper:
upper:
61
61
�
:
μ:
60
60
�
:
σ:
10
10
what is the area of a 14cm square?
Answers
Answer:
196 sq cm
Step-by-step explanation:
that's all I can say really
Please help will give brainliest to whoever explains their answer correctly
Answers
Tell wether the angles are complementary or supplementary. Then find the value of X
Answers
Answer:
The angles are Complementary Angles.
x = 55°
Step-by-step explanation:
the angles are Complementary Angles, because when added, together they form a 90° angle.
•to find the value of x, we form the equation :
⇒90° = x° + (x - 20)°
⇒90 = x + x - 20
⇒90 = 2x - 20
•shifting the 2x to the left side and the 90 to the right side
⇒2x = 90 + 20
⇒2x = 110
•shifting the 2 to the right side
⇒x = 110/2
⇒x = 55° Answer...
hope that helps...
The ice skating rink charges an hourly fee for skating and $3 to rent skates for the day. Gillian rented skates and skated for 3 hours and was charged $21. Which equation represents the cost, c(x), of ice skating as a function of x, the number of hours of skating?
c(x) = 3x + 3
c(x) = 6x + 3
c(x) = 7x + 3
c(x) = 8x + 3
Answers
Answer:
c(x) = 6x + 3
Step-by-step explanation:
c(x) = 6x + 3
he skated for 3 hrs and was charged $21
c(3) = 6(3) + c(3) = 18 + 3
c(3) = 21
correct....so it is c(x) = 6x + 3
p.s please mark this question as brainleist
Thx
answer:
B) c(x) = 6x + 3
explanation:
Gillian rented skates, which costs $3. Now you must subtract that from your total as the next step is to find how much the hourly fee for skating is. $21 - $3 = $18. $18 was the total price for three hours of skating so to find how much the hourly rate is, you divide it by 3. $18/3 = 6. Therefore it is $6 per x amount of hour(s) plus $3 for skates, or simply put, c(x) = 6x +3.
Translate the point A (-3,4) right 5 up 1
Answers
Answer:
(2,5)
Step-by-step explanation:
-3+5=2 and 4+1=5
The dot plot represents the length of practice time in minutes for the math competition. Explain how the outlier of the data affects the statistical summary of the data.
Select the answers from the drop-down menus to complete the statements.
The mean practice time
Choose... (decreases, increases, does not change)
because of the outlier.
The median practice time
Choose... (decreases, increases, does not change)
because of the outlier.
The range
Choose... (decreases, increases, does not change)
because of the outlier.
Answers
Using statistical concepts, it is found that:
The mean practice time decreases because of the outlier.The median practice time does not change because of the outlier.The range increases because of the oulier.What are the mean, the median and the range of a data-set?The mean is the sum of all observations divided by the number of observations.The median is the middle value, the value that separates the upper 50% from the bottom 50%.The range is the difference between the largest value and the smallest.From their concepts above, we have that the mean and the range are influenced by outliers.
In this problem, the outlier is at the low end, of 15, hence:
The mean practice time decreases because of the outlier.The median practice time does not change because of the outlier.The range increases because of the oulier.More can be learned about statistical concepts at https://brainly.com/question/24732674
#SPJ1
Which units would be used for a measurement of area?
Answers
Answer:
cm
Step-by-step explanation:
The area of a square with side 1 cm each is 1 cm × 1 cm = 1 square centimeter.
Answer:
cm^2
For a measurement of area cm^2 unit would be used.
help! (answers needed fast and will give brainliest)
Answers
Answer:
13/20
Step-by-step explanation:
Note that:
Difference is the same meaning as subtract.
Given:
1 ¼ - ⅗
We first have to change 1 ¼ into a improper fraction:
1 ¼ = 5/4
5/4 - ⅗
Since the denominator are different we have to find common denominator.
25/20 - 12/20
Subtracting: 25 - 12 = 13
13/20
Hence, the different of these fractions is 13/20
Kavinsky
what is the slope of a line
(a) where the line crosses at the y-axis
(b) the amount the line rises on the y-axis over the amount it moves horizontally on the x-axis
(c) where the line crosses at the x-axis
(d) where the line begins
Answers
Answer:
the answer is (b), because
Step-by-step explanation:
rise over run
Answer:
B
because I
saw someone else say it was b
Step-by-step explanation:
I'm smart
Help please!!! At a baseball game, a vender sold a combined total of 236 sodas and hot dogs. The number of sodas sold was three times the number of hot dogs sold. Find the number of sodas and the number of hot dogs sold.
Answers
Answer:
56 hotdogs, 168 sodas.
Step-by-step explanation:
# of sodas sold = s
# of hotdogs sold = h
224 sodas and hotdogs = s + h
3h = s
224 = h + s
Plug in one equation into the other one, like 3h = s into h + s
h + s = 224 and s = 3h so...
h + (3h) = 224
4h = 224
h = 224/4 = 56
56 hotdogs were sold
And since s = 3h...
The number of sodas sold is 3 times 56 = 168 sodas.
56 hotdogs, 168 sodas.
Answer:
56 hotdogs, 168 sodas.
Step-by-step explanation:
have great day
PLEASE HELP!!!
Find P15, which is the IQ score separating the bottom 15% from the the top 85%. Assume the scores are normally distributed with a mean of 100 and a standard deviation of 15.
A. 82.5 B.83.3 C.84.0 D.84.6
Answers
12 divided by 32.5 I know there’s a simple math problem but I just need help
Answers
What is the length of the missing leg? If necessary, round to the nearest tenth
Answers
Answer: 48
Step-by-step explanation:
Tino works at a retail clothing store as a sales clerk and part of his paycheck is based on commission, meaning that it is determined by the value of the clothes that he sells. Each week, he earns $7 an hour plus 15% of his total sales. If Tino works for 18 hours and sells $538 in clothes in a certain week, what is the amount of his commission? What is his total pay for that week?
Answers
Answer:
$206,7
Step-by-step explanation:
For what value of x does 3 superscript 2 x baseline = 9 superscript 3 x minus 4?
Answers
Equations are expressions separated by equal sign. The value of x that make the expression equal is 2
Equation and expressionsGiven the equation expressed as:
3^2x = 9^3x - 4
This can be further simplified as:
3^2x = 3^2(3x-4)
2x = 2(3x - 4)
x = 3x - 4
x - 3x = -4
-2x = -4
x = 2
Hence the value of x that make the expression equal is 2
Learn more on equation here:https://brainly.com/question/2972832
Answer: its 2
Step-by-step explanation: just took test on chrome 2022, and got 100%
Abby is collecting rainfall data. She finds that one value of the data set is a high-value outlier. Which statement must be true?
Abby will use a different formula for calculating the standard deviation.
The outlier will increase the standard deviation of the data set.
The spread of the graph of the data will not change.
Abby will not use the mean when calculating the standard deviation.
Answers
When Abby finds that one value of the data set is a high-value outlier, the true statement is B. The outlier will increase the standard deviation of the data set.
What is an outlier?It should be noted that an outlier simply means a number in a data set that is further out from the other numbers.
In this case, when Abby finds that one value of the data set is a high-value outlier, the true statement is that the outlier will increase the standard deviation of the data set.
Learn more about outlier on:
https://brainly.com/question/3631910
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Answer:
The outlier will increase the standard deviation of the data set.
Step-by-step explanation:
Which statement describes the expression 20+ ½ x (4 + 6) ?
A. Half of 4 added to six, Plus 20
B. The sum of 4 and 6 plus half of 20
C. Half the sum of 4 and 6 added to 20.
D. The sum of 4 and 6 plus 20 divided by 2
Answers
Which property of multiplication allows us to
change what we multiply
first in order to answer a
problem?
Example:
50 X 9 - 10 x (5 x 9)
Answers
divide. give the quotient and remainder 295/4
Answers
Answer:73 and remainder of 3
Step-by-step explanation:
295/4=73 and a remiander of 3
Answer:
The quotient is 73 and the remainder is 3
Step-by-step explanation:
295/4 = 73.75 you can take 73 for the quotient. Then do 295 - 73*4 = 3 to calculate the remainder.
Think it likes 12/4 = 3 => 12 - 3*4 = 0
Help me on this inequality please!
Answers
Answer:
w ≤ 5
Step-by-step explanation:
-2w ≥ -10
-2w / -2 ≥ -10 / -2
The -2 cancels each other out and -10 divided by -2 is 5. When divding an inequality by a negative number you MUST flip the sign.
w ≤ 5