martin can run 6 miles in 60 minutes. He wants to run in either one of two upcoming races, a 4 mile race or a 12 mile race. At h
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3x + 6y = 10 is the equation to determine of an apple x and the price of an orange y
<em><u>Solution:</u></em>
Let the price of each apple = $ x
Let the price of each orange = $ y
Martha bought 3 apples and 6 oranges
She had $10 in her wallet which was enough money for the purchase
Thus the equation is:
Total amount = 3 apples(price of each apple) + 6 oranges(price of each orange)
Thus we get,
Thus the equation is found
Answer:
At a significance level of 0.05, there is enough evidence to claim that there is a significant relationship between x and y.
P-value = 0.003.
Step-by-step explanation:
If we perform a regression analysis relating x and y, we get the best fitting line with equation:
and a correlation coefficient r:
We have to test the hypothesis, where the alternative hypothesis claims that there is a relationship between these two variables, and the null hypothesis claiming there is no relationship (meaning that the correlation is not significantly different from 0).
This can be written as:
where ρ is the population correlation coefficient for x and y.
The significance level is assumed to be 0.05.
The sample size is n=16.
The degrees of freedom are df=14.
The test statistic can be calculated as:
For a test statistic t=2.05 and 14 degrees of freedom, the P-value is calculated as:
The P-value (0.003) is smaller than the significance level (0.05), so the effect is significant enough.
The null hypothesis is rejected.
At a significance level of 0.05, there is enough evidence to claim that there is a significant relationship between x and y.