Calculate correlation coefficient from the following data : N= 10, Σ X= 140 , Σ Υ-150 E (X – 10)2 = 180, E(Y– 15)² = 215, E (X- 10) (Y– 15) = 60 %3D %3D %3D
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- Respiratory Rate Researchers have found that the 95 th percentile the value at which 95% of the data are at or below for respiratory rates in breath per minute during the first 3 years of infancy are given by y=101.82411-0.0125995x+0.00013401x2 for awake infants and y=101.72858-0.0139928x+0.00017646x2 for sleeping infants, where x is the age in months. Source: Pediatrics. a. What is the domain for each function? b. For each respiratory rate, is the rate decreasing or increasing over the first 3 years of life? Hint: Is the graph of the quadratic in the exponent opening upward or downward? Where is the vertex? c. Verify your answer to part b using a graphing calculator. d. For a 1- year-old infant in the 95 th percentile, how much higher is the walking respiratory rate then the sleeping respiratory rate? e. f.Calculate correlation coefficient from the following information: N= 10, ΣX= 140, ΣΥ= 150, Σ(X- 10), 180, Σ(Υ-15)215 , E(X – 10) (Y – 15) = 60. %3DThe coefficient of correlation between X and Y is - and o? = a, o = 4a, and %3D %3D ož = 114 where Z = 3X – 4Y. Then the value of the constant a is
- Why does the squared curvilinear correlation referred to as a partial η2 for that component?Consider the equation of the regression line y = 25 – 2.5x and ỹ = 12, %3D Find y when x = 6 assuming the linear correlation is not significant. %3DFind the mean of the variables X and Y and correlation coefficient, given the following: Regression Equation of Y on X: 2Y-X-50=0 Regression Equation of X on Y: 3Y-2X - 10 = 0
- a) Determine the correlation coefficient r between the two variables. b) Determine the slope coefficient β1 for the regression of annual sales on years of education. c) Determine the y-intercept β0 for the regression of annual sales on years of education. d) What will be the annual sales when the years of education is 11 (years)? *** Answer rounded to at least 4 decimal places.Which of the following correlation coefficients indicate the strongest linear relationship between two variables x and y? rxy = 0.5 rxy = 0.09 rxy = − 0.6 rxy = 0In a laboratory experiment on correlation research study the equation of the two regression lines were found to be 2X–Y+1=0 and 3X–2Y+7=0 Find the correlation between the two variables X and Y. Interpret the result as well.
- The following data gives (X-Temperature in F⁰) and the (y-Precipitation in inches). Finda) Find Correlation coefficient b) Draw a Scatter plot c) Find the Regression equation of Y on X d) Find Y when x = 70Eik I . 4. Calculate Coefficient of Correlation from the following results : n= 10, ΣΧ= 100, ΣΥ 150, Σ (X-10)180, Σ(Υ-15)= 215 E(X- 10) (Y– 15) = 60A chemistry experiment is performed measuring the solubility of potassium chloride (KCl) in water at different temperatures. The goal was to determine if there is a linear relationship between the temperature of the water and how much KCl can dissolve, measured as grams per 100 milliliter (g/100mL). After the experiments were performed, the following data was collected with temperature being the independent x-variable and solubility being the dependent y-variable: Temperature (°C) x Solubility (g/100mL) y 10 31 20 33 30 37 40 41 50 42 Based on the data given for temperature and solubility of KCl and without doing any math yet, which of the following do you predict would best describe the relationship between these variables? A positive linear relationship (r close to 1) A positive linear relationship (r close to -1) A negative linear relationship (r close to 1) A negative linear relationship (r close to -1)…
