The given paired data lists the heights (in inches) of various males who were measured on their eighth and sixteenth birthdays. Height (8 yrs) 52 50 48 51 51 48 (x) Height (16 yrs) 69 66 64 67 69 65 (y) Assuming a 5% level of significance, use hypothesis testing and the linear correlation coefficient (r) to determine if there is a linear correlation.

The given paired data lists the heights (in inches) of various males who were measured on their eighth and sixteenth birthdays. Height (8 yrs) 52 50 48 51 51 48 (x) Height (16 yrs) 69 66 64 67 69 65 (y) Assuming a 5% level of significance, use hypothesis testing and the linear correlation coefficient (r) to determine if there is a linear correlation.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

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 O 5.46 6.07 15.82 15.40 11.15 20.32 Construct a scatterplot. Choose the correct graph below. A. OB. OC. D. 25- 25- 0- 30 0- 30 Bill Amount (S) 120 120 120 120 Bill Amount (S) 30 Bill Amount ($) Bill Amount (S) The linear correlation coefficient is r= (Round to three decimal places as needed.) ip Amount ($) Tip Amount ($) Tip Amount ($) ip Amount ($)
The data shown below consists of the price (in dollars) of 7 events at a local venue and the number of people who attended. Determine if there is significant negative linear correlation between ticket price and number of attendees. Use a significance level of 0.05 and round all values to 4 decimal places. Ticket Price Attendence 114 10 180 14 158 18 98 22 98 26 110 30 92 34 91 38 88 Ho: p = 0 На: р <0 Find the Linear Correlation Coefficient r = Find the p-value p-value = The p-value is Less than (or equal to) a O Greater than a
A data set includes weights of garbage discarded in one week from 62 different households. The paired weights of paper and glass were used to obtain the results shown to the right. Is there sufficient evidence to support the dlaim that there is a linear correlation between weights of discarded paper and glass? Use a significance level of a -0.05. Correlation matric Click here to yiew a table of ecitical values for the correlation coefficient Variables Paper Glass 10.4277 Рарer Glass Determine the null and alternative hypotheses. Но H: P (Type integers or decimals. Do not round.) Identify the test statistic, r. r=(Round to three decimal places as needed.) Identify the critical val (Round to three decimal places as needed.) the value(s) PA. There is one critical value atr OB. There are two oritical values atr State the conclusion. the positive critical value, there V sufficient evidence to sSupport the claim that there is a linear corelation between the weights of discarded paper and…
Listed below are paired data consisting of amounts spent on advertising (in millions of dollars) and the profits (in millions of dollars). Determine if there is significant linear correlation between advertising cost and profit. Use a significance level of 0.10 and round all values to 4 decimal places. Advertising Cost Profit 3 22 4 20 5 21 26 7 24 8 27 9 25 10 27 11 28 Ho: ρ 0 На: р 0 Find the Linear Correlation Coefficient r = Find the p-value p-value =
Find the linear correlation coefficient between cumulative GPA and each of ACT English score, ACT math score, and ACT composite score, for the 200 UWEC undergraduate students in the Focus Sample. GPA and ACT English score cumulative. GPA ENGLISH MATH COMP 2.39 24 28 26 3.37 21 23 24 2.63 16 25 21 2.77 16 19 19 3.79 29 28 32 3.34 23 26 23 2.81 13 14 17 3.09 18 23 22 1.91 22 18 20 2.61 19 22 20 3.17 17 23 18 3.79 26 26 26 3.14 23 24 24 2.21 23 24 23 3.12 21 18 21 3.42 33 27 29 3.25 24 20 22 2.34 25 25 24 2.76 21 21 23 1.95 22 26 23 2.59 22 22 24 3.58 27 28 26 2.67 24 28 26 2.1 17 25 22 3.1 19 18 19 2.78 23 25 23 3.76 21 28 23 3.33 27 21 23 3.28 32 26 28 2.33 24 18 21 2.45 23 21 22 3.56 24 20 23 3.13 29 30 26 4 32 25 31 3.17 23 25 24 3.03 19 25 21 2.82 19 25 21 2.89 16 20 19 3.66 25 32 29 2.43 17 18 19 3.07 26 21 25 3.48 20 28 23 3.31 22 27 25 3.63 26 27 26 2.41 16 25 21 2.93 24 22 24 3.75 20…
The accompanying table lists the ages of acting award winners matched by the years in which the awards were won. 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. Should we expect that there would be a correlation? Use a significance level of α = 0.01. Click the icon to view the ages of the award winners. Construct a scatterplot. Choose the correct graph below. Best Actor (years) A. 70- 20+ CHIT • 20 70 Best Actress (years) The linear correlation coefficient is r = (Round to three decimal places as needed.) B. Best Actor (years) 70- 20- IDI ... ● 20 70 Best Actress (years) Best Actress 28 30 Best Actor 41 37 O Best Actor (years) Print 70- 20+ Best Actresses and Best Actors 29 61 33 32 36 43 49 50 20 70 Best Actress (years) 46 64 29 60 23 53 40 56 Done 43 43 57 32 n X Best Actor (years) 70- 20+ Mid 18 ● ● 20 70 Best…
For a sample of eight bears, researchers measured the distances around the bears' chests and weighed the bears. Minitab was used to find that the value of the linear correlation coefficient is r= 0.846. Using a = 0.05, determine if there is a linear correlation between chest size and weight. What proportion of the variation in weight can be explained by the linear relationship between weight and chest size? Click here to view a table of critical values for the correlation coefficient. .... a. Is there a linear correlation between chest size and weight? A. No, because the absolute value of the test statistic exceeds the critical value of 0.707. B. Yes, because the absolute value of the test statistic exceeds the critical value of 0.707. C. Yes, because the test statistic falls between the critical values of - 0.707 and 0.707. D. The answer cannot be determined from the given information. b. What proportion of the variation in weight can be explained by the linear relationship between…
36 Which is the strongest (highest) r correlation: -0.9000 -0.6000 -0.3000 0.4500
Police sometimes measure shoe prints at crime scenes so that they can learn something about criminals. Listed below are shoe print lengths, foot lengths, and heights of males. Construct ascatterplot, 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. Based on these results, does it appear that police can use a shoe print length to estimate the height of a male? Use a significance level of α=0.01. Shoe Print (cm) 30.3 28.6 32.1 32.2 26.9 Foot Length (cm) 24.7 24.7 27.7 27.7 25.4 Height (cm) 180.1 177.9 191.4 173.6 174.8
The data shown below consists of the price (in dollars) of 7 events at a local venue and the number of people who attended. Determine if there is significant linear correlation between ticket price and number of attendees. Use a significance level of 0.01 and round all values to 4 decimal places. Ticket Price Attendence 6 176 10 111 14 187 18 102 22 190 26 188 30 110 Ho: ρ = 0Ha: ρ ≠ 0 Find the p-value=
identify the linear correlation coefficient r, test statistics and p value.
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 = 0.05. If everyone were to tip with the same percentage, what should be the value of r? Bill (dollars) Tip (dollars) Tip Amount ($) Construct a scatterplot. Choose the correct graph below. O A. 25- 30 C ● ·· Bill Amount (S) 32.25 49.72 87.12 101.52 66.52 104.21 4.25 7.70 7.90 11.83 7.08 11.35 120 Q M O B. Tip Amount ($) 25- ++++ 30 .. Bill Amount (S) 120 Q Q M C O C. Tip Amount ($) 25- 0+ 30 ● ·· Bill Amount ($) 120 Q Q O D. ip Amount ($) 25- to 0- 30 · Bill Amount (S) 120 Q Q U