14. 5 students were asked to record their GPA from High School and College. The results are below:Student HS GPA College GPAABCD2E3.833.14.02.53.32.82.2Sum=3.51.9Sample x-H.S. GPA12.5a. Find the correlation coefficient r by filling in the following chart and using the formula:y-College GPASum=Sum=Sum=Sum=xy b. Find the line of best fit, by using the above information, and the formula.c. Use the line of best fit to predict a student's GPA if her High school GPA is a 2.75.

StudentsHS GPACollege GPAA3.82.8B3.12.2C4.03.5D2.51.9E3.32.5

Answered: 14. 5 students were asked to record…

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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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 ($)
The correlation between midterm and final grades for 300 students is 0.620. If 5 points are added to each midterm grade, the new r will be: a. 0.124 b. 0.57 c. 0.62 d. 0.744
Match each scatterplot shown below with one of the four specified correlation coefficients. 8 89% 0 go eagle 880 09 O a. b. 0.42 c. 0.88 -0.44 -0.85 d.
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…
Listed below are the 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 α=0.01. If everyone were to tip with the same percentage, what should be the value of r? Bill (dollars) 31.65 53.83 87.10 103.64 60.34 109.80 Tip (dollars) 3.74 5.76 14.73 16.86 7.44 20.73 1. The linear correlation coefficient is r= 2. What are the null and alternative hypotheses? 3. The test statistic is t= 4. The P-Value is P=
The following zero order correlation coefficients are given : r12 = 0.5 r13 = 0.6 r23 =.7 %3D Calculate the multiple correlation coefficients R1,23, R2.13 and R3.12
choose the correct answer Given the following X and Y variables. Determine the Pearson-r correlation value. (photo) a. 0.412 b. - 0.785 c. 0.248 d. - 0.293 What is the range of the given data set: 25, 19, 30, 12, 45, 11, 32, 49, 23, 36, 34 ? a. 49 b. 26 c. 38 d. 44 Thank you!!!
Complete the following instructions:i. Identify the independent and dependent variables.ii. Calculate and interpret the Pearson correlation coefficient r for the paired data. Be sure to indicate if the correlation is positive or negative, and whether it is strong, moderate, or weak, or if there does not appear to be any significant correlation. A researcher for a gasoline retailer examines the relationship between the volume of gasoline purchased in kL(i.e. 1000 L) compared to the price of gasoline (in $/L), over a course of several days, to see if there is a correlation between the data: Amount of Gasoline Purchased Price of Gasoline 2.257 1.079 3.126 1.015 2.793 1.046 4.671 0.973 2.137 1.021 5.916 0.939 2.775 0.995 4.88 0.927 3.162 0.964 7.498 0.899 2.971 0.982 3.596 0.945 1.372 1.129 3.961 1.059 i. Independent Variable: Dependent Variable: ii. Pearson correlation coefficient (r): Round to 3 decimal…
I AM RESUBMITTING THIS QUESTION FOR MORE SUBPARTS. I NEED HELP FROM NUMBER 7 DOWN. THANK YOU. A grocery store manager did a study to look at the relationship between the amount of time (in minutes) customers spend in the store and the amount of money (in dollars) they spend. The results of the survey are shown below. Time 27 22 17 30 17 19 12 23 22 Money 117 72 53 106 66 93 53 83 95 Find the correlation coefficient: r= Round to 2 decimal places. The null and alternative hypotheses for correlation are:H0:H0: ? μ r ρ == 0H1:H1: ? r ρ μ ≠≠ 0 The p-value is: (Round to four decimal places) Use a level of significance of α=0.05α=0.05 to state the conclusion of the hypothesis test in the context of the study. There is statistically significant evidence to conclude that a customer who spends more time at the store will spend more money than a customer who spends less time at the store. There is statistically significant evidence to conclude that there is a…
Suppose we measure the heights (in inches) and weights (in pounds) of 100 randomly chosen college students. Furthermore suppose we calculate the correlation to be 0.6. If we change the measurements to centimeters and kilograms, what happens to the value of the correlation? Note: There are 2.54 centimeters in an inch, and there are 2.2 pounds in a kilogram. Group of answer choices: A. The correlation increases by a factor of 2.54/2.2 B. The correlation is still 0.6. C. The correlation decreases by a factor of 2.2. D. The correlation increases by a factor of 2.54.
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) 69 Construct a scatterplot. Choose the correct graph below. O A. 25- 04 30 1.6 Bill Amount (S) 30.39 49.64 84.71 94.16 62.06 101.95 6.07 8.67 11.03 12.99 9.31 13.46 120 Q ✔ The linear correlation coefficient is r= (Round to three decimal places as needed.) Determine the null and alternative hypotheses. Ho: P H₁: p (Type integers or decimals. Do not round.) The test statistic is t = (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.) Because the P-value of the linear correlation…

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