A researcher has estimated a linear model to study the effect of weekly household income x, (in $100) on weekly household expenditure on food y, (in $). Using a i i sample of size N = 40, she found that = 83.42 + 10.21x,, R²=0.384 i (43.41) (2.09) and N Σ(y₁ - y)² = 500,000 and the sample mean of x, is 19.605. Then, i=1 i N * Σ 6-5) 2= 58,000 i=1 Oc. O d. N i=1 N i=1 (-y)² = 96,000 i (-y)²=192,000 N i=1 i (-y)²=384,000 i

A researcher has estimated a linear model to study the effect of weekly household income x, (in $100) on weekly household expenditure on food y, (in $). Using a i i sample of size N = 40, she found that = 83.42 + 10.21x,, R²=0.384 i (43.41) (2.09) and N Σ(y₁ - y)² = 500,000 and the sample mean of x, is 19.605. Then, i=1 i N * Σ 6-5) 2= 58,000 i=1 Oc. O d. N i=1 N i=1 (-y)² = 96,000 i (-y)²=192,000 N i=1 i (-y)²=384,000 i

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter1: Functions

Section1.2: The Least Square Line

Problem 1E

See similar textbooks

Similar questions

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.
A sample of 100 grade 10 students age was obtained to estimate the mean of all grade 10 students. Given x = 15.3 years and the population variance is 16
Consider a linear regression model for the decrease in blood pressure (mmHg) over a four-week period with muy=2.8+0.8x and standard deviation chi=3.2. The explanatory variable x is the number of servings fruits and vegetables in a calorie-controlled diet. The decrease in blood pressure y will vary about this subpopulation mean. What is the distribution of y for this subpopulation?
A study was done to investigate the relationship between amount of protix (a new protein-vitamin•-mineral supplement) org a fortified- vitamin rice, known as FVR, and the gain in weight of children. Ten randomly chosen sections of grade one pupils were fed with FVR containing protix; different amounts X of protix were used for the 10 sections. The increase in the weight of each child was measured after a given period. The average gain Y in weight for each section with a prescribed protix level x is as follows; Section(i) Protix(X) Gain(Y) Section(i) Protix(X) Gain(Y) 1 2 3 4 5 50 60 70 80 90 91.6 96.5 95.5 101.3 104.8 6 7 8 9 10 100 110 120 130 140 105.2 107.9 107.4 109.2 109.8 Compute the prediction equation to predict the gain in the weight of a child.
Consider a linear regression model for the decrease in blood pressure (mmHg) over a four-week period with muy=2.8+0.8x and standard deviation chi=3.2. The explanatory variable x is the number of servings fruits and vegetables in a calorie-controlled diet. What is the subpopulation mean when x = 7 servings per day?
Do wearable devices that monitor diet and physical activity help people lose weight? Researchers had 237 subjects who were already involved in a program of diet and exercise use wearable technology for 24 months. They measured their weight (in kilograms) before using the technology and 24 months after using the technology. The 237 differences in weight (weight after 24 months minus weight before using the wearable technology) had x = -3.5 and s = 7.8. Let u be the mean weight difference. 41 John M. Jakicic et al., "Effect of wearable technology combined with a lifestyle intervention on long-term weight loss, the IDEA randomized clinical trial," JAMA, 316, 2016, pp. 1161-1171. O Macmillan Learning " What is the test statistic? Give your answer to three decimal places. What is the P-value? The P-value is between 0.01 and 0.05. The P-value is less than 0.0005. O The P-value is between 0.0005 and 0.01. The P-value is greater than 0.05.