There are many ways to solve simultaneous linear equations. One of my favorite for finding integer solutions is graphing. The attached graph shows the solution to be ...
... (x, y) = (4, 7)
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You can also use Cramer's Rule, or the Vedic math variation of it, which tells you the solution to
is given by
Here, that means
... x = (9·67-5·75)/(9·8-5·3) = 228/57 = 4
... y = (75·8-67·3)/57 = 399/57 = 7
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A (graphing) calculator greatly facilitates either of these approaches.
Answer:
There is not sufficient evidence to support the claim that there is a linear correlation between the heights and pulse rates of women
Step-by-step explanation:
The correlation coefficient between the variables h(height in inches) and pulse rates (in beats per minute) is 0.202
Sample size n=40
Level of significane alpha = 0.01
Create null and alternate hypothesis as:
H0: r=0
Ha: r not equal 0
(Two tailed test at 1% significance level)
Sample r = 0.202
r difference = 0.202
test statistic t =
df =n-2 =38
t critical value for 0.01 and df =38 is 2.704
Since our test statistic lies below 2.704, we accept null hypothesis
There is not sufficient evidence to support the claim that there is a linear correlation between the heights and pulse rates of women