Question

shows the number of per second for a oncket, recorded at 10 derent temperatures Med deply to the front wings together and the temperature dependent. The Chups per second 21 17 20 17 17 15 15 15 16 17 (a) Find the least squares regression line relating the number of chips to temperature (Round all cal values to four decimal places) ! Do the data provide hondence tocate that there incorresboshi be r beda perature (test at the 0.05 level of cance) Sote the hand bypothese Mors > ews Weverso and then the best set ter for the nere M ed there is not evidence to me that and w ed Theres e nce to an ay y relate N e ed Theres i dence to deaty and related

Answer 1

(a) The regression line is given by:

u= -3.6593 +0.2573.2-

(b) The hypothesis is given by:

H.:B = 0 versus H:870

the test statistic is given by:

$\small t=\frac{\hat{\beta}}{SE(\hat{\beta})}=\frac{0.2573}{0.068}=3.786$

The rejection region is given by:

t> +0.975,9 = 2.622 + < t0.025,9 = -2.622

Conclusion: H_o is rejected, there is sufficient evidence to indicate that y and x are linearly related.

(c) r²= (cor(x,y))^2=0.642

Interpretation of r² : 3rd option is correct.