When testing the claim H_0: rho = 0 for 10 pairs of (x, y)data, the Pearson corr

Question

When testing the claim H_0: rho = 0 for 10 pairs of (x, y)data, the Pearson correlation coefficient tests test statistic is r = 0.68. Find the critical values for this test, and state decision and conclusion of this test, at a significance level of 0.01. The sample is too small for a conclusion at the 0. 01 level. Reject H_0: p = 0, and conclude that there is no linear correlation. Reject H_0: rho = 0, and conclude that there is linear correlation. Fail to reject H_0: rho = 0, and conclude that there is no linear correlation. Fail to reject H_0: rho = 0, and conclude that there is linear correlation. The coefficient of determination, r^2 is a measure of: skew. the amount of variation in the y-variable that is explained by the regression line. the location of the regression line. the spread of the predicted values. A veterinarian collected a random sample of pairs of data consisting of heights (x) and weights (y) of Chihuahuas. She computed the test statistic for this data to be r = 0.444, the mean height(x bar) to be 7.90 inches, the mean weight (y bar) to be 5.30 pounds, and the regression equation to be y^circ = 0.84x+ 1.60. If the critical values for this data are r = plusminus 0.532, find the best predicted weight (in pounds) for a Chihuahua that is 5.5 inches tall. 8.24 6.22 7.90 5.30 None of these A college tested for linear correlation between its statistics students' attitude ratings(x) and grades(y) by using a random sample of 25 students. In this test, the significance level was alpha = 0.05, the test statistic was r = 0.401, the regression equation was y circ = 11.7 +1.02x, the mean attitude rating (x bar) was 62.1, and the mean grade (y bar) was 75.3. Find the best predicted grade for a student whose attitude rating is 63. 75.0 76.0 62.1 75.3 None of these

Explanation / Answer

77.

The coefficient of determination r2 is a measure of :

a. skew - that' kurtosis and not r2
b. Correct. this is also definitionof r2
c. no, that will be given by the regression line
d. the spread is actually heteroscedascity, r2 doesn't give this

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