Example 2Following data g..en the marks obtained by 8 students in Accounting (x) andStatistics (y)(x)6566676768697072(y)6768656872726971(a) Calculate Coefficient of Correlation(b) Determine the Probable Error and interpret the result

Given: sample size, n=8 x y 65 67 66 68 67 65 67 68 68 72 69 72 70 69 72 71

Answered: (a) Calculate Coefficient of…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section4.6: Regression And Median-fit Lines

Problem 1CYU

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Noise and Intelligibility Audiologists study the intelligibility of spoken sentences under different noise levels. Intelligibility, the MRT score, is measured as the percent of a spoken sentence that the listener can decipher at a cesl4ain noise level in decibels (dB). The table shows the results of one such test. (a) Make a scatter plot of the data. (b) Find and graph the regression line. (c) Find the correlation coefficient. Is a linear model appropriate? (d) Use the linear model in put (b) to estimate the intelligibility of a sentence at a 94-dB noise level.
Population Genetics In the study of population genetics, an important measure of inbreeding is the proportion of homozygous genotypesthat is, instances in which the two alleles carried at a particular site on an individuals chromosomes are both the same. For population in which blood-related individual mate, them is a higher than expected frequency of homozygous individuals. Examples of such populations include endangered or rare species, selectively bred breeds, and isolated populations. in general. the frequency of homozygous children from mating of blood-related parents is greater than that for children from unrelated parents Measured over a large number of generations, the proportion of heterozygous genotypesthat is, nonhomozygous genotypeschanges by a constant factor 1 from generation to generation. The factor 1 is a number between 0 and 1. If 1=0.75, for example then the proportion of heterozygous individuals in the population decreases by 25 in each generation In this case, after 10 generations, the proportion of heterozygous individuals in the population decreases by 94.37, since 0.7510=0.0563, or 5.63. In other words, 94.37 of the population is homozygous. For specific types of matings, the proportion of heterozygous genotypes can be related to that of previous generations and is found from an equation. For mating between siblings 1 can be determined as the largest value of for which 2=12+14. This equation comes from carefully accounting for the genotypes for the present generation the 2 term in terms of those previous two generations represented by for the parents generation and by the constant term of the grandparents generation. a Find both solutions to the quadratic equation above and identify which is 1 use a horizontal span of 1 to 1 in this exercise and the following exercise. b After 5 generations, what proportion of the population will be homozygous? c After 20 generations, what proportion of the population will be homozygous?
Making Ice Our ice machine is making ice in preparation for the game that starts at 7:00 p.m. The machine is monitored, and the amount of ice is recorded at the end of each hour. The results are in the table below. Time 12:00 p.m. 1:00 p.m. 2:00 p.m. 3:00 p.m. Pounds of ice 200 273 346 419 a. Show that the data are linear. b. Let t denote the time in hours since noon, and let I denote the pounds of ice made. Find a linear model for I as a function of t. c. If 675 pounds of ice will be needed for the game tonight, will the ice machine produce enough ice by game time?

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(a) Calculate Coefficient of Correlation (b) Determine the Probable Error and interpret the result