My Notes o Ask Your Teacher e 4/10 points l Previous Answers The figure below sh
ID: 3227305 • Letter: M
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My Notes o Ask Your Teacher e 4/10 points l Previous Answers The figure below shows the relationship between parent nest size and offspring nest size for 100 parent-offspring observations of nest size, because rest The is he line. Note that the graph actually p the logarithm sizes, like many measures volume, are otherwise strongly skewed to the right. B is a partial of Excel regression output for these data. 2.6 2.4 2.2 18-t 2.3 2.8 1,8 Logarithm of parent nest size (cm Regression statistica Multiple R 0.7229 0.5226 R Square Standard Error 0,1396 observation a 100 Standard coefficient a Error Stat P-value 0.5764 0.1542 Intercept 0.6762 0653 Parents (a) Describe the relationship from the graph and assess the validity of inference for these data The scatterplot shows a moderate positive linear association with lots of scatter, but the scatter appears randomly spread on either side of the regression line. So, regression inference r v reasonable for these data (b) Give the value ofr (Enter your answer to four decimal places) Give the eauation of the least-sauares line. Enter vour answers to four darimal nlarasExplanation / Answer
r2 = 0.5226
Y = 0.5764 + 0.6762 X
H0 : beta = 0 ; H1 ; beta not equal to 0.
t = slope of regression line / standard error = 0.6762 / 0.1396 = 4.8434
The P-Value is < .00001.
The result is significant at p < .05.
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