Consider the following sample of production volumes and total cost data for a manufacturing operation. Total Cost ($) Production Volume (units) 400 4,100 450 5,000 550 5,400 600 5,900 700 6,500 750 6,900 This data was used to develop an estimated regression equation, ŷ = 1,401.33 + 7.36x, relating production volume and cost for a particular manufacturing operation. Use a = 0.05 to test whether the production volume is significantly related to the total cost. (Use the F test.) State the null and alternative hypotheses. O Ho: Po = 0 H3: Bo # 0 O Ho: B1 # 0 H: B1 = 0 O Ho: B1 2 0 H: B1 < 0 O Ho: Bo * 0 H: Bo = 0 O Ho: Bq = 0 Hg: Bq # 0 Set up the ANOVA table. (Round your p-value to three decimal places and all other values to two decimal places.) Degrees of Freedom Source Sum Mean p-value of Variation of Squares Square Regression
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
![Set up the ANOVA table. (Round your p-value to three decimal places and all other values to two decimal places.)
Source
Sum
Degrees
of Freedom
Mean
F
p-value
of Variation
of Squares
Square
Regression
Error
Total
Find the value of the test statistic. (Round your answer to two decimal places.)
Find the p-value. (Round your answer to three decimal places.)
p-value =
What is your conclusion?
Reject Ho. We conclude that the relationship between production volume and total cost is significant.
Reject Ho. We cannot conclude that the relationship between production volume and total cost
significant.
Do not reject Ho. We cannot conclude that the relationship between production volume and total cost is significant.
Do not reject Ho. We conclude that the relationship between production volume and total cost is significant.
Tutorial
O O](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6fccbe0e-690a-4599-ae28-c1fea38612a2%2Ff8381576-bf24-4a12-8118-a8dfca84797c%2Ffdipamo_processed.png&w=3840&q=75)
![Consider the following sample of production volumes and total cost data for a manufacturing operation.
Production Volume
Total Cost
(units)
($)
400
4,100
450
5,000
550
5,400
600
5,900
700
6,500
750
6,900
This data was used to develop an estimated regression equation, ŷ = 1,401.33 + 7.36x, relating production volume and cost for a particular manufacturing operation. Use a = 0.05 to test whether the
production volume is significantly related to the total cost. (Use the F test.)
State the null and alternative hypotheses.
Hoi Bo = 0
Ha: Bo + 0
O Ho: B1 + 0
H: B1
= 0
Ho: B1 20
H: B, < 0
1
Ho: Bo + 0
Hạ: Bo = 0
Hoi B1
= 0
Set up the ANOVA table. (Round your p-value to three decimal places and all other values to two decimal places.)
Source
Sum
Degrees
of Freedom
Mean
F
p-value
of Variation
of Squares
Square
Regression](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6fccbe0e-690a-4599-ae28-c1fea38612a2%2Ff8381576-bf24-4a12-8118-a8dfca84797c%2Ft00xtm_processed.png&w=3840&q=75)
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