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 19 30 27 19 18 30 29 29 18 26 23 28 27 26 28 22 36 28 32 36 35 (a) Is there sufficient evidence to claim a linear relationship between these two variables at ? = .05?__ (i) Find r. (Give your answer correct to three decimal places.) (iii) State the appropriate conclusion. Reject the null hypothesis, there is not significant evidence to claim a linear relationship.Reject the null hypothesis, there is significant evidence to claim a linear relationship. Fail to reject the null hypothesis, there is significant evidence to claim a linear relationship.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 decimal places.) = +_ x (c) Is the slope of the regression line significant at ? = .05? (i) Find t. (Give your answer correct to two decimal places.) _ (ii) Find the P-value. (Give your answer bounds exactly.) < p < ___ (iii) State the appropriate conclusion. Reject the null hypothesis, there is not evidence of a significant slope.Reject the null hypothesis, there is evidence of a significant slope. Fail to reject the null hypothesis, there is evidence of a significant slope.Fail to reject the null hypothesis, there is not evidence of a significant slope.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

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	19	30	27	19	18	30	29	29	18	26	23	28	27	26	28	22	36	28	32	36	35

(a) Is there sufficient evidence to claim a linear relationship between these two variables at ? = .05?______
(i) Find r. (Give your answer correct to three decimal places.)
______
(iii) State the appropriate conclusion.

Reject the null hypothesis, there is not significant evidence to claim a linear relationship.Reject the null hypothesis, there is significant evidence to claim a linear relationship. Fail to reject the null hypothesis, there is significant evidence to claim a linear relationship.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 decimal places.)

=	______ +_______ x

(i) Find t. (Give your answer correct to two decimal places.)
_______

(ii) Find the P-value. (Give your answer bounds exactly.)
______ < p < _____
(iii) State the appropriate conclusion.

Reject the null hypothesis, there is not evidence of a significant slope.Reject the null hypothesis, there is evidence of a significant slope. Fail to reject the null hypothesis, there is evidence of a significant slope.Fail to reject the null hypothesis, there is not evidence of a significant slope.

(d) Find the 98% prediction interval for the number of carpels that one would expect to find in a mature flower of this variety if the number of stamens were 54. (Give your answers correct to one decimal place.)