Twenty-one mature flowers of a particular species were dissected, and the number of stamens and carpels present in each flower were counted. X, Stamens 52 68 70 38 61 51 56 65 43 37 36 74 38 35 45 72...

Extracted text: Twenty-one mature flowers of a particular species were dissected, and the number of stamens and carpels present in each flower were counted. X, Stamens 52 68 70 38 61 51 56 65 43 37 36 74 38 35 45 72 59 60 73 76 68 y, Carpels 21 30 29 21 20 30 29 29 20 24 21 28 27 26 28 20 34 26 32 36 33 (a) Is there sufficient evidence to claim a linear relationship between these two variables at a = .05? (i) Find r. (Give your answer correct to three decimal places.) .498 (iii) State the appropriate conclusion. O Reject the null hypothesis, there is not significant evidence to claim a linear relationship. O Reject the null hypothesis, there is significant evidence to claim a linear relationship. O Fail to reject the null hypothesis, there is significant evidence to claim a linear relationship. O Fail to reject the null hypothesis, there is not significant evidence to claim a linear relationship. (b) What is the relationship between the number of stamens and the number of carpels in this variety of flower?. (Give your answers correct to two de ý = 17.18 17 (c) Is the slope of the regression line significant at a = .05? (1) Find t. (Give your answer correct to two decimal places.) 2.66 (ii) Find the P-value. (Give your answer bounds exactly.)

Extracted text: (b) What is the relationship between the number of stamens and the number of carpels in this variety of flower?. (Give your answers correct to two decimal places.) ý = 17.18 .17 (c) Is the slope of the regression line significant at a = .05? (i) Find t. (Give your answer correct to two decimal places.) 2.66 (ii) Find the P-value. (Give your answer bounds exactly.) .01 X