OSC MAeEGThe heights and weights of a sample of 11 students are:1.36| 1.47Height(m) hWeight|(kg) w1.541.561.591.631.661.671.691.741.815250676269745987777367Calculate the correlation coefficient.2. Calculate the regression line of w on h.3. Use the regression line to estimate the weight ofsomeone whose height is 1.6 m.2002

1. Correlation coefficient: correlation coefficient, r=0.6422

Answered: The heights and weights of a sample of…

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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The following is a list of 15 measurements. -16, – 39, -6, -47, 24, –65, – 80, 29, 74, 53, 50, 26, 11, 33, –23 Send data to calculator Send data to Excel Suppose that these 15 measurements are respectively labeled x,, x,, ..., x,5: (Thus, -16 is labeled x,, -39 is labeled x,, and so on.) Compute the following. 15 41 + i = 1
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Listed below are amounts of bills for dinner and the amounts of the tips that were left. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value of r. Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Use a significance level of a = 0.01. If everyone were to tip with the same percentage, what should be the value of r? Bill (dollars) Tip (dollars) 31.80 52.94 85.82 102.16 60.17 111.77 D 5.46 6.07 15.82 15.40 11.15 20.32 Construct a scatterplot. Choose the correct graph below. O A. O B. Oc. D. Q 25- 25- 25 0- 30 0- 30 Bill Amount ($) 0+ 30 Bill Amount (S) 0- 30 Bill Amount (S) 120 120 120 Bill Amount (S) 120 The linear correlation coefficient is r= 0.954 (Round to three decimal places as needed.) Determine the null and alternative hypotheses. Ho: p H,: P (Type integers or decimals. Do not round.) Tip Amount ($) ip Amount ($) Tip Amount ($) Tip Amount ($)
A biologist looked at the relationship between number of seeds a plant produces and the percent of those seeds that sprout. The results of the survey are shown below. Seeds Produced 68 56 61 Sprout Percent 60.6 69.2 = 0 48 64.7 64.6 #0 a. Find the correlation coefficient: b. The null and alternative hypotheses for correlation are: H₂: ? H₁: 2 The p-value is: 63 64.1 40 Round to 2 decimal places. 63 62 65.1 68.4 84 (Round to four decimal places) c. Use a level of significance of a = 0.05 to state the conclusion of the hypothesis test in the context of the study. O There is statistically significant evidence to conclude that there is a correlation between the number of seeds that a plant produces and the percent of the seeds that sprout. Thus, the regression line is useful. O There is statistically insignificant evidence to conclude that a plant that produces more seeds will have seeds with a lower sprout rate than a plant that produces fewer seeds. O There is statistically significant…
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The following table compares the completion percentage and interception percentage of 55 NFL quarterbacks. Completion Percentage 58 59 62 65 66 Interception Percentage 4.5 4 3 2.5 1.5 Copy Data Determine if r is statistically significant at the 0.01 level. Yes or No? the correlation coefficient is/ is not statistically significant.
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The heights and weights of a sample of 11 students are: Height (m) h Weight (kg) w 1.36 1.47 1.4 1.56 1.59 1.63 1.66 1.67 1.69 1.74 1.81 52 50 67 62 69 74 59 87 77 73 67 1. Calculate the correlation coefficient.