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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 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? (1) 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 Falil to reject the null hypothesis, there is significant evidence to claim a linear relationship. O Fall 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 varlety of flower?. (Give your answers correct to two d 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.) Y SRS .025

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 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? (1) 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 Falil to reject the null hypothesis, there is significant evidence to claim a linear relationship. O Fall 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 varlety of flower?. (Give your answers correct to two d 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.) Y SRS .025

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 27PPS
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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.) <p< .025 ,01
Transcribed Image 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.) <p< .025 ,01
(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 <p< .025 (III) State the appropriate conclusion. O Reject the null hypothesis, there is not evidence of a significant slope. O Reject the null hypothesis, there is evidence of a significant slope. O Fail to reject the null hypothesis, there is evidence of a significant slope. O 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 65. (Give your answers correct to one decimal place.) Lower Limit Upper Limit
Transcribed Image 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 <p< .025 (III) State the appropriate conclusion. O Reject the null hypothesis, there is not evidence of a significant slope. O Reject the null hypothesis, there is evidence of a significant slope. O Fail to reject the null hypothesis, there is evidence of a significant slope. O 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 65. (Give your answers correct to one decimal place.) Lower Limit Upper Limit
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