Question 1206834
i used the regression calculator at <a href = "https://www.statskingdom.com/linear-regression-calculator.html" target = "_blank">https://www.statskingdom.com/linear-regression-calculator.html</a> to solve this.


here are the the key results from using this calculator.


<img src = "http://theo.x10hosting.com/2024/041004.jpg">


<img src = "http://theo.x10hosting.com/2024/041005.jpg">


the regression equation is y = -8.5729 + 1.934 * 
-8.5729 is the y-intercept
1.934 is the slope.


r = .9468 = correlation coefficient
it indicates a very strong correlation in a positive direction.


r^2 = .8965 = coefficient of determination
it indicates that almost 90% of the correlati0on is caused by the relationship between the variables.


the null hypothesis of the regression test states that there is no correlation, while the alternative states that there is a correlation.


the F-value of 69 and the p-value of .00003281 both support the conclusion that the null hypothesis is rejected in favor of the alternate hypothesis, indicating that a strong correlation exists.


i believe the critical f-value was around 5.32 as seen on the graph, and that the critical p-value for the test was .05.


the if the test f-value is greater than the critical f-value, the test is considered significant.
likewise, of the test p-value is less than the critical p-value, the test is also considered significant.
if significant, the null hypothesis is discarded in favor of the alternate hypothesis, as is the case in this test.


if 53 contacts are made, the regression equation becomes y = -8.5729 + 1.934 * 53.
that makes y = 93.9291 thousand.