To investigate the relationship between yield of potatoes, y, and level of fertilizer application, x, a researcher divides a field into eight plots of equal size and applies differing amounts of fertilizer to each. The yiel of potatoes (in pounds) and the fertilizer application (in pounds) are recorded for each plot. The data are as follows: 1 y 25 31 27 28 36 35 32 34 1.5 2.5 3 3.5 4 4.5 Summary statistics yield SSx = 10.5, sSyy= 112, SSxy = 25, and SSE = 52.476. Calculate the coefficient of correlation and comment if correlation is strong(weak), positive ((negative)

To investigate the relationship between yield of potatoes, y, and level of fertilizer application, x, a researcher divides a field into eight plots of equal size and applies differing amounts of fertilizer to each. The yiel of potatoes (in pounds) and the fertilizer application (in pounds) are recorded for each plot. The data are as follows: 1 y 25 31 27 28 36 35 32 34 1.5 2.5 3 3.5 4 4.5 Summary statistics yield SSx = 10.5, sSyy= 112, SSxy = 25, and SSE = 52.476. Calculate the coefficient of correlation and comment if correlation is strong(weak), positive ((negative)

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 height of bedridden patients is often estimated from the length of the patient's ulna, the distance between the point on the elbow and the prominent bone on the wrist. Eight men over the age of 65 had both their height (in centimeters) and the length of their ulna (in centimeters) measured. The data are given in the table below. Ulna length (cm) 20 23 24 26 27 29 30 31 Height (cm) 160 163 166 168 171 178 182 186 Let x denote a patient's ulna length (in cm) and y denote the patient's height (in cm). Assume that the population distributions for both ulna length and height are approximately normal. The following summary measures were obtained from the data. X = 26.25, ỹ = 171.75, SSxx = 99.5, SSyy= 609.5, SSxy= 238.5 ху We wish to find the least squares regression line for the data in this table using ulna length as an independent variable and height as a dependent variable. Estimate the y-intercept of the least squares regression line. Enter your answer using three decimal places.
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The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. x 11.4 8 6.8 3.4 2.4 2.2 2.4 0.4 y 13.5 10.7 10.1 6.9 5.9 5.6 6.3 4.2 x = thousands of automatic weapons y = murders per 100,000 residents This data can be modeled by the equation y = 0.85x + 3.97. Use this equation to answer the following; Special Note: I suggest you verify this equation by performing linear regression on your calculator. A) How many murders per 100,000 residents can be expected in a state with 10.3 thousand automatic weapons? Round to 3 decimal places. B) How many murders per 100,000 residents can be expected in a state with 4.3 thousand automatic weapons? Answer= Answer = Round to 3 decimal places.
Suppose a researcher collects data on the bacterial contamination, measured in colony-forming unit per milliliter, for both upstream and downstream sections of 35 rivers. The data is plotted with upstream bacterial contamination on the horizontal axis and downstream bacterial contamination on the vertical axis. The Scioto River is an outlier in the ?y‑direction. What must be true about this river? The upstream bacterial contamination for this river is much higher or lower than the rest of the rivers in the data set. The downstream bacterial contamination for this river is much higher or lower than other rivers in the data set that have similar upstream bacterial contamination. This river is an influential observation. The downstream bacterial contamination for this river is much higher or much lower than the rest of the rivers in the data set. The absolute value of the residual of this river is large.
To investigate the relationship between yield of potatoes, y, and level of fertilizer application, x, a researcher divides a field into eight plots of equal size and applies differing amounts of fertilizer to each. The yield of potatoes (in pounds) and the fertilizer application (in pounds) are recorded for each plot. The data are as follows: x1 1.5 2 2.5 3 3.5 4 4.5 25 31 27 28 36 35 32 34 Construct a scattergram for the data. a. What does the scattergram suggest about the relationship between x and y? b. Find the least squares estimates of ßo and B1. C. Plot the least squares line on your scattergram. Does the line appear to fit the data well? d.
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An office supply company services copiers and tracks how many machines are serviced and the length of time (in minutes) for a service call. The data below for 11 clients is below. Sum X = 46 Sum Y= 234 Sum XY = 5797 Sum X2 =1180 Sum Y2 =146608 1) Calculate SSYY, SSXX, SSXY 2) Calculate b0, b1 3) Interpret the estimated slope coefficient.
The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. 11.6 8.5 7. 3.5 2.6 2.3 2.4 0.4 13.8 11 10 6.3 6.1 5.9 4.1 I = thousands of automatic weapons y = murders per 100,000 residents This data can be modeled by the equation y = 0.85T + 3.97. Use this equation to answer the following; A) How many murders per 100,000 residents can be expected in a state with 1.2 thousand automatic weapons? Answer = Round to 3 decimal places. B) How many murders per 100,000 residents can be expected in a state with 2.2 thousand automatic weapons? Answer = Round to 3 decimal places. Question Help: O Message instructor Submit Question to search 1O