What is the formula for density
2 answers:
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Answer:
ŷ = -1.618X + 215.636
191
Step-by-step explanation:
From the graph:
The data below could be obtained to produce the best fit line :
Week, x :
0
1
2
3
4
5
6
7
8
9
10
Weight :
216
214
213
210
210
207
206
202
203
202
200
Using a linear regression calculator. The best fit line obtained is :
ŷ = -1.618X + 215.636 ; which shows decrease in weight has the number of weeks grow.
Carters weight 15 Weeks into his diet :
X = 15
ŷ = -1.618(15) + 215.636
= 191.366
= 191 (nearest whole number)
The hypothesis test shows that we reject the null hypothesis and there is sufficient evidence to support the claim that the return rate is less than 20%
<h3>What is the claim that the return rate is less than 20% by using a statistical hypothesis method?</h3>The claim that the return rate is less than 20% is p < 0.2. From the given information, we can compute our null hypothesis and alternative hypothesis as:
Given that:
Sample size (n) = 6965
Sample proportion
The test statistics for this data can be computed as:
z = -2.73
From the hypothesis testing, since the p < alternative hypothesis, then our test is a left-tailed test(one-tailed.
Hence, the p-value for the test statistics can be computed as:
P-value = P(Z ≤ z)
P-value = P(Z ≤ - 2.73)
By using the Excel function =NORMDIST (-2.73)
P-value = 0.00317
P-value ≅ 0.003
Therefore, we can conclude that since P-value is less than the significance level at ∝ = 0.01, we reject the null hypothesis and there is sufficient evidence to support the claim that the return rate is less than 20%
Learn more about hypothesis testing here:
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