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slamgirl [31]
3 years ago
7

A least squares regression line: a. may be used to predict a value of y if the corresponding x value is given b. implies a cause

-effect relationship between x and y c. can only be determined if a good linear relationship exists between x and y d. None of these alternatives is correct.
Mathematics
1 answer:
seraphim [82]3 years ago
3 0

Answer:

a) May be used to predict a value of y if the corresponding x value is given

Step-by-step explanation:

In regression analysis, the vertical distance from the regression line to the data points can be minimized using the least square regression line.

Given the example of a least square regression equation:

y = ax + b

Where

a = slope

b = Y-intercept

If the value of x is known, the value of y may be predicted.

Option A is correct.

A least squares regression line may be used to predict a value of y if the corresponding x value is given

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Based on data collected from its production processes, Crosstiles Inc. determines that the breaking strength of its most popular
alexandr1967 [171]

Answer:

16% of its popular porcelain tile will have breaking strengths greater than 412.5 pounds per square inch.

Step-by-step explanation:

We are given that the breaking strength of its most popular porcelain tile is normally distributed with a mean of 400 pounds per square inch and a the standard deviation of 12.5 pounds per square inch.

Let X = <u><em>the breaking strength of its most popular porcelain tile</em></u>

SO, X ~ Normal(\mu=400,\sigma^{2}=12.5^{2})

The z score probability distribution for normal distribution is given by;

                        Z  =  \frac{X-\mu}{\sigma}  ~ N(0,1)

where, \mu = mean breaking strength of porcelain tile = 400 pounds per square inch

           \sigma = standard deviation = 12.5 pounds per square inch

Now, probability that the popular porcelain tile will have breaking strengths greater than 412.5 pounds per square inch is given by = P(X > 412.5)

        P(X > 412.5) = P( \frac{X-\mu}{\sigma} > \frac{412.5-400}{12.5} ) = P(Z > 1) = 1 - P(Z \leq 1)

                                                               = 1 - 0.84 = <u>0.16</u>

Therefore, 16% of its popular porcelain tile will have breaking strengths greater than 412.5 pounds per square inch.

7 0
3 years ago
PLESSSS HELP MEEEE ANSWER ALL THANKSSSS!!!!! MUCH LOVEeee!!
seraphim [82]

Answer:

Omg my oth acc is gone

Step-by-step explanation:

7 0
3 years ago
Drag the tiles to the boxes to form correct pairs.<br> Match the pairs of equivalent expressions.
Masja [62]

Answer:

Step-by-step explanation:

look this solution

5 0
3 years ago
Read 2 more answers
The mean number of people per day visiting a museum in July was 120. If 20 more people each day visited the museum in August, wh
-BARSIC- [3]
The correct answer is 140 because the mean, average, number from July per day represents how many people would have visited each day if they were all even.

If there were 20 more people each day in August, the mean would be 140. This would represent how many people visited each day.
8 0
3 years ago
Read 2 more answers
How many terms are in the arithmetic sequence 9, 2, −5, . . . , −187?
Fantom [35]
9, 2, -5... so is going down by 7 each time, meaning the "common difference" is -7.

\bf n^{th}\textit{ term of an arithmetic sequence}\\\\&#10;a_n=a_1+(n-1)d\qquad &#10;\begin{cases}&#10;n=n^{th}\ term\\&#10;a_1=\textit{first term's value}\\&#10;d=\textit{common difference}\\&#10;----------\\&#10;a_1=9\\&#10;d=-7\\&#10;a_n=-187&#10;\end{cases}&#10;\\\\\\&#10;-187=9+(n-1)(-7)\implies -187=9-7n+7&#10;\\\\\\&#10;7n=9+7+187\implies 7n=203\implies n=\cfrac{203}{7}\implies \boxed{n=29}
4 0
3 years ago
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