a computer software developer would like to use the number of downloads​ (in thousands) for the trial version of his new shareware to predict the amount of revenue​ (in thousands of​ dollars) he can make on the full version of the new shareware. attached below is the output from a simple linear regression along with the residual plot and normal probability plot obtained from a data set of 30 different sharewares that he has developed. what is the correct null hypothesis for testing whether there is a linear relationship between revenue and the number of​ downloads?

Respuesta :

We can say that there is sufficient evidence that revenue and the number of downloads are linearly related.

What is the null hypothesis?

The null hypothesis is a common statistical theory that asserts that no statistical relationship or significance exists between two sets of observed data and measured phenomena based on a single observed variable.

Hypothesis:

[tex]H_0:\rho_1=0\\H_1:\rho\neq0[/tex]

Test statistic:

[tex]t=r\times\sqrt{\frac{n-2}{1-r^2} }\\\\ t=(0.8691)\times\sqrt{\frac{30-2}{(1-0.8691)^2} } \\\\t=9.2974[/tex]

D.F. = n - 2 = 28

P-value = P-value at t = 9.2974, ∝=0.05, 28 d.f. is

        P-value = 0.000

Conclusion: Since. P-value < ∝=0.05, so we have to reject the null hypothesis.

Hence, we can say that there is sufficient evidence that revenue and the number of downloads are linearly related.

To learn more about the null hypothesis, visit:

https://brainly.com/question/15980493

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