At a plant that manufactures bars of steel, a machine is used to cut the bars to specific lengths. The machine has a dial that sets the length of the bars to be cut. However, the dial is currently out of alignment and the plant manager is collecting data to assess the situation. The following table shows 8 trials at different dial settings along with the actual output length of the bars that were cut. All measurements are in millimeters.
(a) Use the following grid to construct a scatterplot in which dial setting is the explanatory variable and output length is the response variable. Based on your graph, does a linear model seem appropriate? Justify your answer.
(b) Use the data to construct a least-squares regression line to predict output length from dial setting.
(c) Assume that all conditions for inference are met. Indicate the hypotheses appropriate to test whether there is a linear relationship between output length and dial setting
(d) The test statistic for the appropriate test is t=9.018. Do the data provide convincing statistical evidence that there is a linear relationship between output length and dial setting?

Check Attached Photos. Sorry, it didn't let me submit it through text because of "inappropriate language," despite me not having any in my answer.

For the plant which manufactures bars of steel, the conclusions are as follows;

A.  The scatter graph is shown.

B.  The equation is y = 2.204 + 1.007x

C.  Null hypotheses (H₀); β = 0

     Alternative hypotheses (Hₐ); β ≠ 0

D.  P-value (0.0001) is less than the significance level (α = 0.05).

In null hypotheses, there is no relationship between the two phenomenons under the assumption or it is not associated with the group. And in alternative hypotheses, there is a relationship between the two chosen unknowns.

At a plant that manufactures bars of steel, a machine is used to cut the bars to specific lengths.

The machine has a dial that sets the length of the bars to be cut.

The dial is currently out of alignment and the plant manager is collecting data to assess the situation.

The following table shows 8 trials at different dial settings along with the actual output length of the bars that were cut.

All measurements are in millimeters.

Dail setting    Output length

     75                     78

     77                     79

     79                     82

     80                     83

     81                      85

     82                     83

     83                     86

     85                     88

A. The scatter plot is shown below.

Based on the scatter plot, a linear model seems appropriate to the model relationships between the dial setting of the machine and the output length of the steel bar.

The scatter plot shows the strong (r = 0.965), positive, linear association. There do not appear to be any outliners.

B.  From the data to construct a least-squares regression line to predict output length from dial setting. Then

y = (a + bx)

Let x be the dial setting machine and y be the output length of steel bars (in mm).

y = 2.204 + 1.007 x

C.  All conditions for inference are met. Indicate the hypotheses appropriate to test whether there is a linear relationship between output length and dial setting.

Let β be the true slope of the population regression line relating the dial setting of the machine (x) and the output length of the steel bars (y) at the manufacturing plant.

Null hypotheses (H₀) ; β = 0

Alternative hypotheses (Hₐ) ; β ≠ 0

Appropriate test = slope of regression line t-test.

D.  The test statistic for the appropriate test is t = 9.018 with 6 degrees of freedom (7 - 1)

The normal curve is shown;

Using calculator command t-CDF, with the alternative hypotheses as β≠0, then P-value = 0.0001.

In probability notation;

P(b≥0.017) = P(t≥9.018) = 0.00005

P-value = (2) × (0.00005) = 0.0001

P-value = 0.0001

Assume α = 0.05

Since our P-value (0.0001) is less than the significance level (α = 0.05), we do not convince statistical evidence that there is a linear relationship between output length and dial setting.

As the dial setting (x) increases, the output length of the steel bar (y) increases as well.

More about the null hypotheses and alternative hypotheses link is given below.

https://brainly.com/question/9504281

A triangle has side lengths of 39, 80, and
87. Is this triangle a right triangle?

find the circumference of the pizza nearest to to the nearest whole number if the radius is 7 in​

what is 5x-9+2-4=9.4

Nakeisha bought a pair of shorts online for $74. She used a coupon code to get a 10% discount.
The website also applied a 5% processing fee to the price after the discount.
How much did Nakeisha pay, in the end? Round to the nearest cent.

BRAINLIEST NO LINKS OR YOU WILL BE REPORTED!!!!!

can someone please help me and write out the answer​

Solve for x:
4x/5=20

Shiva has 1.95 pounds of meat. She uses 0.13 pound of meat to make one hamburger. How many hamburgers can Shiva make with the meat she has?

hurry pleaseeeeeeeeeeeeeeeeeeeeeee

Put the steps to solve the quadratic equation in order.
Solve: 7x2 - 2x - 5 = 0
X =
2+4-4(7)(-5)
207)
Select ]
X =
[Select ]
+ 12
x = - or 1
[Select]
=
27144
14
[Select]
a = 7, b = -2, c= -5
[ Select]
= - 19 or 14
[Select)

For the equation y=-6/5x+3 enter the equation of a perpendicular line

Answer this question to get marked as barinliest!!!!!

Ella has three pitchers that each hold 1.5 liters of lemonade. She charges $0.38 for every 100 milliliters of lemonade.

How much will Ella make if she sells all of the lemonade in the pitchers?

HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP

Jason has saved 41% of what he needs to buy a 73$ skateboard . Jason found out 50% of 70 is the same things as 70 divided by .50= 140. So he has more than enough to purchase the skateboard. Did he solve correctly

A bag of sweets contains only mints, sherberts and toffees.
The ratio of the number of mints to sherberts is 2:3.
The ratio of the number of sherberts to toffees is 7:5.
What fraction of the sweets are sherberts?

A house is worth $156,000
in 2015. In 2017, it is
worth $192,000. What is
the rate of change?

Please help me I’m really confused!!

Erica says that you can use the fact 6 = 2 = 3 to find 60 = 2.
Enter values to complete her explanation below.

Two fair, six-sided dice are rolled. What is the probability that the resulting total is even or greater than 10?

The experimental probability that it will rain
on any given day in Houston, Texas, is about
15%. Out of 365 days, about how many days
can residents predict rain?

The number of points Jaden scored in a game is less than 45, and is also a multiple of 7. How many points could Jaden have scored

10. The figure is a rectangle. What is x?
28

find two rational numbers between 3 and 5​

Given f(x)=-3x+5f(x)=−3x+5, find f(-6)f(−6).

I can’t explain look at picture

HELP PLEASEEE How can you break up the figure into familiar shapes to determine the area?

A figure is broken into a triangle and rectangle. The rectangle has a base of 5 feet and height of one-third feet. The triangle has a base of 3 and two-thirds feet and height of 2 feet.
Break up the figure into a 2 ft by 3 and two-thirds ft triangle and a 5 ft by One-third ft rectangle.
Break up the figure into a 2 ft by 5 ft triangle and a 5 ft by One-third ft rectangle.
Break up the figure into a 2 ft by One-third ft triangle and a 5 ft by One-third ft rectangle.
Break up the figure into a 2 ft by 1One-third ft triangle and a 5 ft by One-third ft rectangle.

This high school stadium contains a track that surrounds a soccer field. The soccer field is 100 yards long and 70 yards wide
1.What is the area of one of the semicircles at either end of the track?
2.The school decided to cover the semicircles with grass to create a space for stretching and other activities. How many square yards of grass will the school need to cover the entire circle?
3.What is the distance around one of the semicircles at either end of the soccer field?
4.What is the distance around the inner lane of the track (i.e., the lane closest to the soccer field)? PLEASE HELP <3

please help
7x-y=23
y=4x-11

hii please help i’ll give brainliest

3. When should points of intersection be included within the feasible region of a system of nonlinear inequalities
and why