A group of farmer wants to know the correlation between the certain amount of fertilizer and the crops yield. With the same land areaand different amount of fertilizer yields the following crops.Fertilizer231815121314152320201922121016crops786654486571775769745660545963Does it appear there is relationship between the fertilizer and crops? Compute the coefficient of correlation. Determine at 0.05 level ofsignificance whether the correlation is greater than zero.

Given : Fertilizer Crops 23 78 18 66 15 54 12 48 13 65 14 71 15 77 23 57 20 69…

Answered: A group of farmer wants to know the…

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 data below is 12 observations of Math SAT scores (x) and scores on Math placement test (y). Calculate the linear correlation coefficient, rr. Enter your answers to two decimal places. X Y 420 426 410 360 600 575 460 538 550 553 480 407 560 635 450 388 400 383 430 402 470 462 440 437 rr =
Table #10.1.6 contains the value of the house and the amount of rental income in a year that the house brings in ("Capital and rental," 2013). Find the correlation coefficient of determination and then interpret both Table #10.1.6: Data of House Value versus Rental Value Rental Value Rental Value Rental Rental Value 67500 81000 6656 77000 4576 75000 7280 6864 95000 7904 94000 8736 90000 6240 85000 7072 121000 12064 115000 7904 110000 7072 104000 7904 135000 8320 130000 9776 126000 6240 125000 7904 145000 8320 140000 9152 7488 9568 140000 135000 7488 165000 13312 165000 8528 155000 148000 8320 178000 11856 174000 10400 170000 9568 170000 12688 匯 190000 200000 225000 8320 12272 8528 200000 200000 10608 194000 11232 8320 10400 11648 10192 12272 10400 200000 240000 214000 208000 240000 10192 240000 12064 12480 244500 11232 12896 12480 289000 11648 270000 262000 325000 12480 310000 303000 300000 12480
UnattemptedQuestion 1Expand PreviousNext The data below was collected from manufacturer advertisements of their vehicles' horsepower and highway gas mileage (mpg.). Use this data to answer the following questions. x 158 250 340 350 390 190 220 y 33 28 15 17 11 35 42 1. Find the p-value to determine if there is a linear correlation between horsepower and highway gas mileage (mpg). If there is a linear correlation, write the correlation coefficient below if there is a linear correlation, write the regression equation below. Using the data shown above, predict the the highway gas mileage (mpg) for a car that has a horsepower of 225 If there is a linear correlation, what percentage of variation in highway gas mileage (mpg) can be explained by horsepower?
A chemical engineer studied the relationship between production quality and cost, the results as shown in the table below: Use X – test to find out whether there is an association between production quality and cost ? production quality cost 1 2 4 1 60 25 15 10 66 32 13 9 3 120 40 25 15
Calculate the coefficient of correlation between price and the supply of a commodity for the data given below. 11 12 13 14 15 16 17 18 19 20 21 22 Price Supply (kgs) 25 24 24 24 21 18 15 20 21 30 29 29
Find the value of Pearson r for each pair of numbers then test the significance of their correlation at 5% level including the linear regression equation. Interpret your result. m 100 129 160 100 120 125 135 159 160 n 33 44 21 55 10 20 25 30 34
Calculate the value of coefficient of correlation petween price and supply. What is its probable error ? Interpret the value of coefficient of correlation. Price 8. 10 15 17 20 22 24 25 Supply : 25 30 32 35 37 40 42 45
Here is a bivariate data set. x y 64 101 79 18 61 96 78 55 56 8 78 -7 60 26 76 7 99 55 Find the correlation coefficient and report it accurate to four decimal places. r = A good correlation calculator is found at Correlation Calculator
The age and prices of 11 Nissan cars given in the following data: Age (in years) 5 4 6 5 5 5 6 6 2 7 7 Price (in $100s) 85 103 70 82 89 98 66 95 169 70 48 a. Obtain the correlation coefficient between the age and price of the cars. Interpret the value of the correlation coefficient. b. Obtain a regression equation of Price (dependent variable) on Age (Independent variable). c. What will be the Price of the car after 3 years? d. Find the coefficient of determination. Determine the percent of variation that is explained by the regression equation clearly.
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The table below shows the age of 8 individuals and the packs of medicine they consume each year. Age 17 27 54 35 42 31 46 23 Medicine (in packs) 17 7 12 6 2 a. Determine the correlation coefficient r between the two variables. Answer rounded to at least 4 decimal places. b. Determine the slope coefficient B1 for the regression of medicine packs consumed on age. Answer rounded to at least 4 decimal places. c. Determine the y-intercept Bo for the regression of medicine packs consumed on age. Answer rounded to at least 4 decimal places. d. What will be the expected packs of medicines consumed per year by a person of age 33. Answer rounded to at least 4 decimal places. packs
What is the value of the correlation coefficent, r? Is the strength of the linear relationship strong, moderately strong, somewhat weak or very weak?

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