Find the estimated SLR equation and interpret the slope.
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A: Given:
5. An agronomist studies potato yield (y) as related to
the amount of fertilizer (x) added to the test plots.
Both measurements are in pounds. The
is roughly linear and we know: X-bar = 2.7,
Y-bar = 30.6, SXX = 10.4, and SXY = 26.6. Find the
estimated SLR equation and interpret the slope.
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- A patient is classified as having gestational diabetes if their average glucose level is above 140 milligrams per deciliter (mg/dl) one hour after a sugary drink is ingested. Rebecca's doctor is concerned that she may suffer from gestational diabetes. There is variation both in the actual glucose level and in the blood test that measures the level. Rebecca's measured glucose level one hour after ingesting the sugary drink varies according to the Normal distribution with μ=140+5 mg/dl and σ=5+1 mg/dl. Using the Central Limit Theorem, determine the probability of Rebecca being diagnosed with gestational diabetes if her glucose level is measured: Once? n=5+2 times n=5+4 times Comment on the relationship between the probabilities observed in (a), (b), and (c). Explain, using concepts from lecture why this occurs and what it means in context.A linear regression model is designed to predict service charges by a bank (in dollars per month) based on sales revenues of 26 companies who use the services (in millions of dollars). Partial output from Excel gives ŷ = -5428 + 32.756x,, with SSE = 117600, and the p-value = 0.04022 for the estimated slope. Interpret the standard error of the estimate. A B E Approximately 95% of the observed service charges fall within $117600 of the least squares line None of the suggested answers are correct For every $1 million increase in sales revenue, we expect a service charge to increase by $117600 Approximately 96% of the observed service charges fall within $140 of the least squares line. Approximately 95% of the observed service charges equal their corresponding predicted valuesYou work as a data scientist for a real estate company in a seaside resort town. Your boss has asked you to discover if it's possible to predict how much a home's distance from the water affects its selling price. You are going to collect a random sample of 7 recently sold homes in your town. You will note the distance each home is from the water (denoted by x, in km) and each home's selling price (denoted by y, in hundreds of thousands of dollars). You will also note the product x.y of the distance from the water and selling price for each home. (These products are written in the row labeled "xy"). (a) Click on "Take Sample" to see the results for your random sample. Distance from the water, .x (in km) Take Sample Selling price, y (in hundreds of thousands of dollars) xy Send data to calculator Based on the data from your sample, enter the indicated values in the column on the left below. Round decimal values to three decimal places. When you are done, select "Compute". (In the table…
- Sarah wants to estimate the relationship between individual earnings in the labour market (earn) and years of education achieved (educ). She collects data from a sample of 122 individuals on their monthly salaries (Y), measured in rands, and education levels (X), measured in years of education.Based on these data, she derives the following estimates: ∑XY=41421943.8∑X2=15472∑X=1242∑Y=3401031 Question 1 The value for the slope parameter is ? Question 2 .The value for the intercept parameter is ? Question 3 If se(β2)=212.4477226, construct a 99% confidence interval for the parameter. Pr( ?. ≤β2≤ . )=99% Question 4 If se(β1)=2392.463897, construct a 99% confidence interval for the parameter. Pr( ? ≤β1≤ ?. )=99% Question 5 Under a simple interpretation of the above results, if an individual wishes to earn a monthly salary of R50 000, how many years of education should they aim to achieve? Question 6At significance level α=0.1 test…pan's high population density has resulted in a multitude of resource-usage problems. One especially serious difficulty concerns waste removal. An article reported the development of a new compression machine for processing sewage sludge. An important part of the investigation involved relating the moisture content of compressed pellets (y, in %) to the machine's filtration rate (x, in kg-DS/m/hr). The following data was read from a graph in the article. x 125.8 98.1 201.4 147.3 145.9 124.7 112.2 120.2 161.2 178.9 159.5 145.8 75.1 151.5 144.2 125.0 198.8 133.9 y 77.9 76.8 81.5 79.8 78.2 78.3 77.5 77.0 80.1 80.2 79.9 79.0 76.9 78.2 79.5 78.1 81.5 71.0 (a) Determine the slope and intercept of the estimated regression line. (Round your answers to 5 decimal places, if needed.)slope: intercept: (b) Does there appear to be a useful linear relationship? Carry out a test using the ANOVA approach and a significance level of 0.05. State the appropriate null and alternative hypotheses.…A chemical process was studied using a 2k design. Using ANOVA, the results have been modeled to produce the following linear equation in coded units: Vield =28.360+0.615 Temperature +0.485 Time Along the direction of steepest ascent. how many coded units must be moved in the Time direction for each step of one coded unit in the Temperature direction? Express your answer to 3 decimal places (XXXXX) Your Answer:
- If the linear equation between Height and Gestational Age is given as: Height=a + b Gest x What is the value of a from the output above What is the value of b from the output aboveThe accompanying data are the length (in centimeters) and girths (in centimeters) of 12 harbor seals. Find the equation of the regression line. Then construct a scatter plot of the data and draw the regression line. Then use the regression equation to predict the value of y for each of the given x-values, if meaningful. If the x-value is not meaningful to predict the value of y, explain why not. (a)x= 140 cm (b)x= 172 cm (c) x = 164 cm (d) x = 158 cm Click the icon to view the table of lengths and girths. The equation of the regression line is y=x+7 (Round to two decimal places as needed.). 4If ? = 1.602×10!!"?, calculate the value of h from the slope (include the unit). The slope is = -7.94x10^13 and the intercept is = 8.21x10^14
- Fill in the blanks and select correct mcq.C) If Ariel converted her variables into standard deviation units and then computed her regression equation, what would her slope and intercept be?Ariel was running analyses over and over in census data and came across a correlation between weight and debt (r=.78). Independent variable is weight and dependent variable is debt. b) Curious Ariel noted some statistics on these weight (M=160lb, SD=15lb) and debt (M=196k, SD=20k). If Ariel wanted to calculate a regression equation, what would her slope and intercept be?
