3x^2-2x-5 Subject is factoring quadratic trinomials when a doesn’t =1
2 answers:
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Answer:
Step-by-step explanation:
Hi student, let me help you out!
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First, let's recall the slope formula: , where y2 and y1 are y-coordinates; x2 and x1 are x-coordinates.
Plugin the values: .
Upon simplifying, we obtain .
Upon simplifying this further, we obtain .
0 divided by anything results in 0.
✨ ∴, the slope of this particular line is 0, and this line looks something like this: .
See, it's a horizontal line, with a rise of 0, meaning that it goes up 0 units.
Hope this helped you out! Ask in comments if even the slightest queries arise.
Best Wishes!
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.