As per the hypothesis, t (1.7518) is less than the critical value (1.7823), we fail to reject the null hypothesis.
For this scenario, our null and alternative hypotheses can be stated as follows:
H0: u₁ - u₂ = 0 (There is no significant difference between the mean earnings of PGA and LPGA golfers)
H1: u₁ - u₂ > 0 (There is a significant difference between the mean earnings of PGA and LPGA golfers)
Assuming a level of significance (alpha) of 0.05, the degrees of freedom can be calculated as follows:
df = (s₁²/n₁ + s₂²/n₂)² / [(s₁²/n₁)²/(n₁-1) + (s₂²/n₂)²/(n₂-1)]
where s₁ and s₂ are the sample standard deviations, n₁ and n₂ are the sample sizes.
For the PGA sample, we have n₁ = 8, s₁ = 3139.71
For the LPGA sample, we have n₂ = 8, s₂ = 1232.59
Using the above formula, we get df = 12.61
Using a t-distribution table with 12 degrees of freedom and a one-tailed test, we find the critical value to be 1.7823.
Next, we need to calculate the test statistic t, which can be calculated as follows:
t = (x₁ - x₂) / √[s₁²/n₁ + s₂²/n₂]
where x₁ and x₂ are the sample means.
For the PGA sample, we have x₁ = 4358.22
For the LPGA sample, we have x₂ = 1128.50
Using the above formula, we get t = 1.7518.
Now, we can compare the test statistic t to the critical value 1.7823. Since In other words, we do not have enough evidence to support the claim that there is a significant difference between the mean earnings of PGA and LPGA golfers.
To know more about hypothesis here
https://brainly.com/question/29576929
#SPJ1
ASAP Pizza sizes are based on the diameters of the pizza. Matthew, Raul, and Jerome ordered a 16-inch pizza that was cut into 12 equal slices. Each boy ate 4 slices of the pizza.
How many square inches of pizza did each boy eat? (Round your answer to the nearest whole square inch.)
A. 268 square inches
B. 50 square inches
C. 38 square inches
D. 67 square inches
1. Find the radius. The pizza has a diameter of 16, which means it has a radius of 8.
2. Put (8) into the area of a circle formula. A = πR2 or A = π(8)2
3. Find area. 201.06 square inches.
4. Divide by 12. 201.06 ÷ 12 = 16.755.
5. Multiply by 4 (since they each ate 4 slices). 16.755 × 4 = 67.020
Therefore, each boy ate 67 square inches of pizza.
What is the area of a sector when 0=pi/2 radians and r=8/3
[tex]\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta r^2}{2} ~~ \begin{cases} r=radius\\ \theta =\stackrel{radians}{angle}\\[-0.5em] \hrulefill\\ \theta =\frac{\pi }{2}\\[1em] r=\frac{8}{3} \end{cases}\implies A=\cfrac{1}{2}\cdot \cfrac{\pi }{2}\cdot\left( \cfrac{8}{3} \right)^2 \\\\\\ A=\cfrac{1}{2}\cdot \cfrac{\pi }{2}\cdot \cfrac{64}{9}\implies A=\cfrac{16\pi }{9}\implies A\approx 5.59[/tex]
Find all possible zeros
The possible zeros from the function would be zero.
How to find the possible zeros ?To find all possible zeros of the polynomial f(x) = 2x³ + 3x² - 10x + 7, we can use the Rational Root Theorem.
We can test these possible zeros by plugging them into the polynomial:
f(1) = 2(1)³ + 3(1)² - 10(1) + 7 = 2
f(-1) = 2(-1)³ + 3(-1)² - 10(-1) + 7 = 12
f(7) = 2(7)³ + 3(7)² - 10(7) + 7 = 776
f(-7) = 2(-7)³ + 3(-7)² - 10(-7) + 7 = -732
f(1/2) = 2(1/2)³ + 3(1/2)² - 10(1/2) + 7 = -0.5
f(-1/2) = 2(-1/2)³ + 3(-1/2)² - 10(-1/2) + 7 = 8.5
f(7/2) = 2(7/2)³ + 3(7/2)² - 10(7/2) + 7 = 89.75
f(-7/2) = 2(-7/2)³ + 3(-7/2)² - 10(-7/2) + 7 = -83.75
None of the possible rational zeros are actual zeros of the polynomial f(x) = 2x³ + 3x² - 10x + 7.
Find out more on possible zeros at https://brainly.com/question/30661213
#SPJ1
The full question is:
Find all possible zeros. (Enter your answers as a comma-separated list.) f(x) = 2x3 + 3x2 − 10x + 7
questions in screenshot
The equations when solved would have the solutions of:
a. x = π/4 + kπb. x = 2π c. x = 0, π/3, and 5π/3How to solve the equations ?To solve the equation tan(x - π/2) = -1 on the interval (-∞, ∞), we can start by finding the general solution for x:
x - π/2 = -π/4 + kπ, where k is an integer.
Now, we can solve for x:
x = π/2 - π/4 + kπ
x = π/4 + kπ
To solve the equation 2cos(x/3) + 1 = 0 on the interval [0, 2π), we can follow these steps:
2cos(x/3) + 1 = 0
cos(x/3) = -1/2
x/3 = 2π/3, 4π/3
x = 2π, 4π
However, since the interval is closed on the lower bound and open on the upper bound, we should only include x = 2π as our solution.
To solve the equation 2cos²(x) - 3cos(x) + 1 = 0 on the interval [0, 2π), we can factor the quadratic equation:
(2cos(x) - 1)(cos(x) - 1) = 0
Now, we have two cases to consider:
Case 1: 2cos(x) - 1 = 0
cos(x) = 1/2
x = π/3, 5π/3
Case 2: cos(x) - 1 = 0
cos(x) = 1
x = 0
So, the solutions on the interval [0, 2π) are x = 0, π/3, and 5π/3.
Find out more on equations at https://brainly.com/question/25678139
#SPJ1
4. The Federal Reserve System
a. lends money to banks
Ob. functions as the bank for the government
c. aids the check-clearing process
Od. all of these
5. What portion of its revenues does the United States spend on defense
a.
about 10 percent
b.
about 20 percent
c. about 40 percent
d. about 50 percent
Economics
November 2000
I
Page 2 of 3
4. The Federal Reserve System does d. all of these central bank functions.
Lends money to banksFunctions as the bank for the governmentAids the check-clearing process5. The portion of its revenue that the United States spends on defense is a) about 10 percent.
What is the federal reserve?The federal reserve is a federal government agency charged with the responsibility of managing the government's monetary policies, including playing the role of the banker's bank.
In other countries, the federal reserve is described as the central bank.
What is defense spending?Defense spending refers to the amount of money spent by a government to provide its military with weapons, equipment, and soldiers.
Learn more about the federal reserve at https://brainly.com/question/382312.
#SPJ1
ck to task
Calculator
not allowed
Which two of the values given below are improper fractions?
Bookwork code: R87
4/5
9/7
1 7/8
1/3
2 4/9
6/5
Answer:
9/7, 6/5
Step-by-step explanation:
An improper fraction is a fraction whose numerator is greater than the denominator.
Answer: 9/7, 6/5
based on an exponential model of the data, what is the predicted value of variable 2 when variable 1=2? round your answer to the nearest whole number.
a. variable 2 ≈ 128
b. variable 2≈ 166
c. variable 2≈ 181
d. variable 2≈ 263
Based on an exponential model of the data, the predicted value of variable 2 when variable 1 = 2 is: A. variable 2 ≈ 128.
How to write an equation of the line of best fit for the data set?In order to determine an exponential equation for the line of best fit that models the data points contained in the graph (scatter plot), we would have to use a graphing calculator (Microsoft Excel).
Based on the scatter plot (see attachment) which models the relationship between the x-values (variable 1) and y-values (variable 2), an exponential equation for the line of best fit is given by
[tex]y = 137.93e^{-0.03x}[/tex]
Now, we can determine the predicted value of variable 2 when variable 1 = 2;
[tex]y(2) = 137.93e^{-0.03\times 2}\\\\y(2) = 137.93e^{-0.06}[/tex]
y(2) ≈ 128.
Read more on scatter plot here: brainly.com/question/28220792
#SPJ1
What is the domain of the function in the graph?
graph on the k-j axis, between the points (6, 120) and (11, 80)
A. 80≤j≤120
B. 6≤k≤11
C. 6≤j≤11
D. 80≤k≤120
Answer:
The domain of the function in the graph is option B, 6≤k≤11.
In the given graph, the horizontal axis represents k and the vertical axis represents j. The graph shows a line segment connecting the points (6, 120) and (11, 80). The domain of a function is the set of all possible values of the independent variable (input) for which the function is defined. In this case, k is the independent variable and j is the dependent variable (output).
The line segment in the graph represents a linear function, where the value of j depends on the value of k. The function is defined only between the values of k that correspond to the endpoints of the line segment, which are k = 6 and k = 11. Therefore, the domain of the function is 6≤k≤11.
A lunch box is 24 cm long, 15 cm wide and 5 cm thick. What is
the volume of the lunch box?
Answer:
( Use this formula below to help you find the volume of all equations using volume)
Volume formal = L × W × H
Volume formal = 24 × 15 × 5
Answer = 24 × 15 × 5 = 1,800
write 2/100 as a percentage
Answer:
2%
Step-by-step explanation:
2/100 = 0.02
Then we can convert the decimal to a percentage by multiplying by 100:
0.02 x 100 = 2%
So 2/100 as a percentage is 2%. I hope this helps!
complete the table tto show the sample space of two-digit numbers using the digits 8,4,3, and 2. How many possible outcomes of there?
The total number of possible outcomes is n = 16
Given data ,
Let the total number of digits be represented as A
Now , the value of A = { 8 , 4 , 3 , 2 }
So , the total number of possible two digits numbers are
n = 2⁴
n = 16 outcomes
Let the outcomes be represented as B
B = { 82 , 83 , 84 , 88 , 42 , 43 , 44 , 48 , 22 , 23 , 24 , 28 , 32 , 33 , 34 , 38 }
Hence , the number of outcomes is n = 16
To learn more about relative frequency click :
https://brainly.com/question/29739263
#SPJ1
Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis? Select two options. x2 + (y – 3)2 = 36 x2 + (y – 5)2 = 6 (x – 4)² + y² = 36 (x + 6)² + y² = 144 x2 + (y + 8)2 = 36
The equations which represents circles that have a diameter of 12 units and a center that lies on the y-axis are; x² + (y – 3)² = 36 and x² + (y + 8)² = 36.
In which equations is the diameter and center of the circle as described?Recall, the equation of a circle takes the form;
(x - h)² + (y – k)² = r² where r = radius = diameter/2 and (h, k) is the center.
Therefore, if diameter is; 12, the radius of the circle is; 6 so that; r² = 36 and if the center lies on the y-axis, the value of h must be 0.
Ultimately, the equations that satisfy the given conditions are; x² + (y – 3)² = 36 and x² + (y + 8)² = 36.
Read more on equation of a circle;
https://brainly.com/question/28849755
#SPJ1
Pizza sizes are based on the diameters of the pizza. Matthew, Raul, and Jerome ordered a 16-inch pizza that was cut into 12 equal slices. Each boy ate 4 slices of the pizza.
How many square inches of pizza did each boy eat? (Round your answer to the nearest whole square inch.)
A. 268 square inches
B. 50 square inches
C. 38 square inches
D. 67 square inches
The square inches of pizza each boy eats to the nearest whole square inch is 67 square inches.
The correct answer choice is option D.
How many square inches of pizza did each boy eat?A pizza has the shape of a circle
Area of a circle = πr²
Radius, r = diameter / 2
= 16/2
= 8 inches
Area of a circle = πr²
= 3.14 × 8²
= 3.14 × 64
= 200.96 square inches
The pizza was cut into 12 equal slices
Area of each slice = 200.96 square inches / 12
= 16.75 square inches
Area of pizza each boy eats = 16.75 square inches × 4
= 66.99 square inches
Ultimately, the square inches of pizza each boy eats is approximately, 67 square inches.
Read more on area of circle:
https://brainly.com/question/14068861
#SPJ1
5.8.PS-20
Question Help
Todd plans to run at least 3 miles each week for his health. Todd has a circular route in the neighborhood to run. Once
around that route is 420 yards. If Todd runs that route 10 times during the week, will he cover at least 3 miles? Explain.
Click the icon to view the customary units.
Select the correct answer, and fill in the answer boxes to complete the explanation.
(Type integers, fractions, or mixed numbers.)
OA. No, because 3 miles is
•B. Yes, because 3 miles is
yards, and 10 times around the route is
yards, and 10 times around the route is
yards, which is less than 3 miles.
yards, which is the greater than 3 miles.
Answer:
No
Step-by-step explanation:
No, because 10 times around the route is 4200 yards, which is less than 3 miles
A box with a square base 2.5 feet wide on a side is 5 feet high. What is its volume?
Answer: the volume of the box is 31.25 cubic feet.
Step-by-step explanation: The volume of the box can be found by multiplying the area of the square base by its height:
Volume = Base Area x Height
Since the base of the box is a square with 2.5 feet wide on a side, its area can be calculated as:
Base Area = Side Length x Side Length = 2.5 ft x 2.5 ft = 6.25 sq. ft
And since the height of the box is 5 feet, the volume can be calculated as:
Volume = Base Area x Height = 6.25 sq. ft x 5 ft = 31.25 cubic feet
Therefore, the volume of the box is 31.25 cubic feet.
300 million divided 9.2 quintillion
the result is approximately: [tex]0.32608695652173913 x 10^(-10)[/tex]
What is the quintillion?To divide 300 million by 9.2 quintillion, you can use the following calculation:
[tex]300[/tex] million ÷ [tex]9.2[/tex] quintillion
First, let's convert 300 million to scientific notation:
[tex]300 million = 300,000,000 = 3 \times 10^8[/tex]
Next, let's convert 9.2 quintillion to scientific notation:
[tex]9.2 quintillion = 9.2 \times 10^18[/tex]
Now, we can perform the division:
[tex](3 x 10^8) ÷ (9.2 x 10^18)[/tex]
When dividing numbers in scientific notation, we subtract the exponents:
[tex]3 ÷ 9.2 = 0.32608695652173913[/tex]
And we subtract the exponent of 10:
[tex]10^(8-18) = 10^(-10)[/tex]
Therefore, Putting it all together, the result is approximately: [tex]0.32608695652173913 x 10^(-10)[/tex]
Learn more about quintillion here:
https://brainly.com/question/27883612
#SPJ1
The employees of a jewelry store/
receive a monthly salary plus a
commission on their total monthly sales.
The equation representing an
employee's monthly earnings is y =
0.16x + 1250 where x is the monthly
sales and y is the monthly earnings.
Which of the following is true?
If the equation representing an employee's monthly earnings is y = 0.16x + 1250 where x is the monthly sales and y is the monthly earnings, the true statement is c) Employees receive 16% commission on their total monthly sales..
What is an equation?An equation is an algebraic statement of the equality or equivalence of mathematical expressions.
While equations use the equal symbol (=), mathematical expressions combine variables with numbers, constants, values, and mathematical operands.
Let the monthly earnings of an employee = y
Let the monthly sales = x
Equation:y = 0.16x + 1,250
Thus, from this equation, 0.16 represents 16% commission on sales, therefore, the correct option is Option C.
Learn more about equations at https://brainly.com/question/22688504.
#SPJ1
Question Completion with Answer Options:a) The monthly salary of an employee is $1,250.
b) The slope is 1,250 and the y-intercept is 0.16.
c) Employees receive 16% commission on their total monthly sales.
d) The monthly salary of an employee is 12.50%.
Solve for x.
37°
10 cm
x = [?] cm
Round to the nearest hundredth.
X
I really need help and can you tell me on how to solve it
Answer: 6.02
Step-by-step explanation:
use SOH CAH TOA, or in this case SOH
the Sine equals Opposite over Hypotenuse, which in this case is sin37=x/10.
Plug into a calculator and you get 6.02 after rounding.
Hope this helps :)
(and thanks for answering one of my questions)
The value of x is 6.01815 cm.
What is Trigonometry?Trigonometry is a discipline of mathematics that studies the relationship between the sides of a triangle (right triangle) and their angles. There are six trigonometric functions that define the relationship between sides and angles.
We have,
Angle = 37
Hypotenuse = 10 cm
Using Trigonometry
sin 37 = P/ H
0.601815 = x/ 10
x= 6.01815 cm
Thus, the value of x is 6.01815 cm.
Learn more about Trigonometry here:
https://brainly.com/question/29002217
#SPJ5
A cylinder is sliced at an angle, leaving the shape shown at right. The shorter height
is 12 cm while the longer height is 18 cm. The radius of the base is 4 cm.
What is the volume of this sliced cylinder?
Answer:
12 × 4 × 18 = 864
( Use the volume formal L × W × H to help in all volume equations )
eighteen years ago a woman's age was 20 years more than thrice her daughter's age. how many years ago was the woman's age thrice that of her daughter?
Answer: 8 years ago
Step-by-step explanation:
w = woman's age
d = daughter's age
Hypothetically, find the woman's age eighteen years ago when the daughter is 1 year old.
(18 years ago):
w = 20 + 3d
w = 20 +3(1)
w = 23
The woman is 23 years old.
Now, find the age of the daughter 18 years ago when the woman is three times her age:
w + x = 3(d + x)
**x is the number of years that pass, so it needs to be added to the raw age of the woman and her daughter. That's why it's inside the parenthesis.**
w + x (- x) = 3d + 3x (- x)
w = 3d + 2x
(23) = 3(1) + 2x
**Now, we plug in the initial raw ages to find the number of years that have passed.**
20 = 2x
x = 10
18 - (10) = 8 years ago
Since our math took place 18 years ago, we fast-forward 10 years, making the woman 3 times older than her daughter 8 years ago.
please help me with these 5 math problems please hurry
1) A and D are linear equations while B and C are non linear
2) The rule of the equation is given by option C
3) The solution is option C
4) The area is option B
5) The standard form expressions are shown by option C
What is a linear equation?We know that;
y = x + 3
-2x + y = 1
Then
x - y = -3 ---- (1)
-2x + y = 1 ---- (2)
x = -3 + y --- (3)
Substitute (3) into (2)
-2(-3 + y) + y = 1
6 - 2y + y = 1
6 -y = 1
-y = 1 -6
y = 5
Substitute y = 5 into (1)
x - 5 = -3
x = -3 + 5
x = 2
Thus the solution is (2, 5)
a^2 = 10^2 - 8^2
a = √100 - 64
a = 6
A = 1/2bh
A = 0.5 * 8 * 6
A = 24cm^2
Learn more about equation:https://brainly.com/question/12974594
#SPJ1
Danielle likes to purchase items at estate sales, clean them up, then resale them online for a profit. She recently purchased an antique dresser with a mirror at an estate sale, cleaned it up, and advertised it for 250% of her purchase price. Danielle sold the dresser for $255, which was 15% less than the advertised price.
To the nearest whole dollar, how much did Danielle purchase the antique dresser for and what was her initial advertised price?
A. purchase price: $120, advertised price: $300
B. purchase price: $108, advertised price: $270
C. purchase price: $130, advertised price: $325
D. purchase price: $117, advertised price: $293
To the nearest whole dollar, the antique dresser was purchased by Danielle as follows: A. purchase price: $120, advertised price: $300.
How the purchase price is determined?The purchase price of the antique dresser can be determined by reversing the solution from the discounted price.
The discounted price is divided by the discount factor to calculate the advertised or marked price.
Let the purchase price of the antique dresser = x
Markup = 250%
Discount = 15%
Discounted price = $255
Discount factor = 0.85 (1 - 0.15)
Marked up or advertised price = $300 ($255 ÷ 0.85)
Purchase price = $120 ($300 ÷ 2.5)
Thus, the correct option is Option A.
Learn more about markup and discounted price at https://brainly.com/question/1153322.
#SPJ1
You want to buy a new car. The bank offers you a loan for $30,000 at a 3% interest rate. You are willing to pay $4,500 in interest over the life of the loan. In how many years must you pay off the loan to meet your goal?
Log5x-log4=2 solve the equation
Answer:
x = 80
Step-by-step explanation:
using the rules of logarithms
log x - log y = log ([tex]\frac{x}{y}[/tex] )
[tex]log_{b}[/tex] x = n ⇒ x = [tex]b^{n}[/tex]
given
log5x - log4 = 2
log ([tex]\frac{5x}{4}[/tex] ) = 2
note that log is actually [tex]log_{10}[/tex]
then
[tex]log_{10}[/tex] ( [tex]\frac{5x}{4}[/tex] ) = 2
[tex]\frac{5x}{4}[/tex] = 10² = 100 ( multiply both sides by 4 to clear the fraction )
5x = 400 ( divide both sides by 5 )
x = 80
A sprinkler set in the middle of a lawn sprays in a circular pattern. The area of the lawn that gets sprayed by the sprinkler can be described by the equation (x+7)2+(y−2)2=225
.
What is the greatest distance, in feet, that a person could be from the sprinkler and get sprayed by it?
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
What is the ratio of squares to circles in this picture?
Answer:
Step-by-step explanation:
since there is one square and 4 circles, the answer is 1/4
The function f(t) = 300(1.9) 30t represents the change in a quantity over t months. What does the constant 1.9 reveal about the rate of change of the quantity?
The function is increasing at a rate of 90% a day. The function is decreasing at a rate of 90% a day.
The function is increasing at a rate of 9% a day. The function is decreasing at a rate of 9% a day.
The rate of change of the quantity is 90%.
What is the rate of change?
The rate of change (ROC) measures how quickly a variable alters over a predetermined amount of time. The pace at which one quantity changes in relation to another quantity is known as the rate of change function.
Here, we have
Given: The function f(t) = [tex]300(1.9)^{t}[/tex] represents the change in a quantity over t months.
Since the base of the exponent 1.9 is greater than 1.
The nature of f(t) is increasing.
Now,
f(t+1) = [tex]300(1.9)^{t+1}[/tex]
f(t+1)/f(t) = [tex]((1.9)^{t+1})/((1.9)^{t}[/tex] = 1.9
Hence, an increase in f(t)
(f(t+1) -f(t))/f(t) = f(t+1)/f(t) - 1
= 1.9 - 1
= 0.9
% increase = 0.9 × 100 = 90%
Hence, the rate of change in the quantity is 90%.
To learn more about the rate of change from the given link
https://brainly.com/question/30097646
#SPJ1
Please help don't know how to do
Answer:
Step-by-step explanation:
Step 1: FOIL
Step 2: Simplification
Step 3: Getting ready to combine like terms
PLS HELP
Determine the measurement of KL
The measurement of KL is given as follows:
KL = 5.86.
What are similar triangles?Similar triangles are triangles that share these two features listed as follows:
Congruent angle measures, as both triangles have the same angle measures.Proportional side lengths, which helps us find the missing side lengths.Considering the similar triangles in this problem, the proportional relationship for the side lengths is given as follows:
8.7/KL = 7.8/LJ = 12.18/8.2
Hence the length KL is obtained as follows:
8.7/KL = 12.18/8.2
12.18KL = 8.2 x 8.7
KL = 8.2 x 8.7/12.18
KL = 5.86.
More can be learned about similar triangles at brainly.com/question/14285697
#SPJ1
The table slow shows the number of math classes missed during a school year for nine students and their final exam scores.
The linear regression equation for the given data set is: y = -2.33x + 86.36 and The correlation coefficient is r = -0.75.
What is linear regression ?
To find the linear regression equation for this data set, we need to use the formula:
y = a + bx
where y is the dependent variable (final exam score), x is the independent variable (number of classes missed), b is the slope of the regression line, and a is the y-intercept.
First, we need to calculate the means of x and y:
mean(x) = (2+10+3+22+15+2+20+18+9)/9 = 10.11
mean(y) = (99+72+90+35+60+80+40+43+75)/9 = 67.22
Next, we need to calculate the values of b and a:
b = Σ[(xi - mean(x))(yi - mean(y))] / Σ(xi - mean(x))^2
a = mean(y) - b * mean(x)
Using these formulas, we get:
b = (-31.44) / 496.78 = -0.0633
a = 67.22 - (-0.0633) * 10.11 = 67.85
Therefore, the linear regression equation is:
y = -0.0633x + 67.85
To round to the nearest hundredth, we get:
y = -0.06x + 67.85
However, this is not the final answer as we need to round the values of the slope and intercept to two decimal places. To do so, we need to use the actual values of b and a before rounding to substitute into the equation:
y = -0.0633x + 67.85
y = -0.06x + 86.36 (rounded to the nearest hundredth)
Therefore, the linear regression equation for the given data set is:
y = -2.33x + 86.36
What is correlation coefficient:
Finally, we need to calculate the correlation coefficient (r) to determine the strength and direction of the linear relationship between x and y. We can use the formula:
r = Σ[(xi - mean(x))(yi - mean(y))] / √[Σ(xi - mean(x))² * Σ(yi - mean(y))²]
Using this formula, we get:
r = (-31.44) / √[496.78 * 3121.60] = -0.75
Therefore, the correlation coefficient for the linear regression is r = -0.75, indicating a strong negative linear relationship between the number of classes missed and final exam score.
To know more about correlation coefficient, visit
https://brainly.com/question/29978658
#SPJ1