Change y=-3x+7 to standard form
1 answer:
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The equation of the linear regression is
To determine the line of best fit, we make use of a graphing tool
See attachment for the graph of the line of best fit
<h3>The equation</h3>From the graphing tool, we have the following calculation summary
- Sum of X = 440
- Sum of Y = 3601.5
- Mean X = 44
- Mean Y = 360.15
- Sum of squares (SSX) = 1440
- Sum of products (SP) = 5157
The regression Equation is then represented as:
Where:
and
Also, we have:
So, the linear regression equation is:
Read more about linear regression at:
Answer:
From the question we are told that
The population mean is
The sample size is n = 30
The sample mean is
The population standard deviation is
The level of significance is
Step 1: State hypotheses:
The null hypothesis is
The alternative hypothesis is
Step 2: State the test statistic. Since we know the population standard deviation and the sample is large our test statistics is
=>
=>
Generally the degree of freedom is mathematically represented as
=>
=>
Step 3: State the critical region(s):
From the student t-distribution table the critical value corresponding to is
Generally the critical regions is mathematically represented as
Step 4: Conduct the experiment/study:
Generally the from the value obtained we see that the t value is outside the critical region so the decision is [Reject the null hypothesis ]
Step 5: Reach conclusions and state in English:
There is sufficient evidence to show that the filling weight has to be adjusted
Step 6: Calculate the p-value associated with this test. How does this the p-value support your conclusions in Step 5?
From the student t-distribution table the probability value to the right corresponding to at a degree of freedom of
is
Generally the p-value is mathematically represented as
=>
=>
Generally looking at the value obtained we see that hence
The decision rule is
Reject the null hypothesis
Step-by-step explanation: