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
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(
)
The z score probability distribution for normal distribution is given by;
Z =
~ N(0,1)
where,
= mean breaking strength of porcelain tile = 400 pounds per square inch
= 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(
>
) = P(Z > 1) = 1 - P(Z
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.
Welming's spending is $1164.8 and his savings is $291.2
<h3>How to determine the savings and the spending?</h3>
The given parameters are:
Weekly pocket = $28
Save = 20%
There are 52 weeks in a year.
So, the yearly pocket is:
Yearly pocket = $28 * 52
Evaluate
Yearly pocket = $1456
He saves 20%.
So, we have:
Savings = 20% * $1456
Evaluate
Savings = $291.2
His spending is then calculated as:
Spending = $1456 - $291.2
Evaluate
Spending = $1164.8
Hence, Welming's spending is $1164.8 and his savings is $291.2
Read more about percentage at:
brainly.com/question/843074
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Step-by-step explanation: