Find the equation for the least squares regression line of the data described below.Meteorologists in a seaside town wanted to understand how their annual rainfallis affected by the temperature of coastal waters.For the past few years, they monitored the average temperature of coastalwaters (in Celsius), x, as well as the annual rainfall (in millimetres), y.Rainfall statistics• The mean of the x-values is 11.503.• The mean of the y-values is 366.637.• The sample standard deviation of the x-values is 4.900.• The sample standard deviation of the y-values is 44.387.• The correlation coefficient of the data set is 0.896.Round your answers to the nearest thousandth.y = LSubmit

Answered: Image /qna-images/answer/55fafbed-f52c-46b7-bd0c-5d106aaba923.jpg

Answered: Find the equation for the least squares…

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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A frequent flyer was interested in the relationship between dollars spent on flying and the distance flown. She sampled 20 frequent flyers of a certain airline. She collected the number of miles flown in the previous year and the total amount of money the flyer spent. A regression line of distance flown on money spent was fit to the data: y^=24000+10x. One person in the sample spent $3000 and flew 42,567 miles. What would be the residual (or error) in the predicted distance this person would fly?
The average August temperatures (y) and geographic latitudes (x) of 13 cities in the United States were studied. The regression equation for these data isTemperature = 127 -1.68*(latitude)What is the slope of the line? Estimate the mean August temperature for a city with latitude of 11.Use 2 decimal placesSan Francisco has a latitude of 40. What would you predict for the mean August temperature of San Francisco?Use 2 decimal placesGiven that the mean August temperature in San Francisco is actually 70 calculate the residual (prediction error) for San Francisco.It should be observed minus predicted. If you do it wrong your answer have the positive and negative switchedUse 2 decimal placesThe latitude at the equator is 0. Estimate the average August temperature at the equator.Use 1 decimal place
Suppose the entering freshmen at a certain college have a mean combined SAT score of 1231 with a standard deviation of 122 In the first semester, these students attained a mean GPA of 2.64, with a standard deviation of 0.53. A scatterplot showed the association to be reasonably linear, and the correlation between SAT score and GPA was 0.47 How do i find the regression line using the equation
Show the best fitted line on scatter diagram and Find the predicted value for each y using the exposure time and the equation obtained in part b (b. Find the equation of regression line between radiation doses on exposure time .usingleast square method)
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Run a regression of average hourly earnings (wage) on education (educ), experience (exper), exper2, sex (female), marital status (married) and num- ber of dependents (numdep). Discuss the statistical significance of each of the slope coefficients and interpret the coefficients on female and married. If experience increases from 20 years to 21 years, how are earnings expected to change? If experience increases from 35 years to 36 years, how are earnings expected to change? Compare the results.
A frequent flyer was interested in the relationship between dollars spent on flying and the distance flown. She sampled 20 frequent flyers of a certain airline. She collected the number of miles flown in the previous year and the total amount of money the flyer spent. A regression line of distance flown on money spent was fit to the data: \hat y = 24000 + 10xy^=24000+10x. A person who spent $1000 is predicted to have flown:
A researcher interested in explaining the level of foreign reserves for the country of Barbadosestimated the following multiple regression model using yearly data spanning the period 2001 to 2016: ??=?+????+????+????Where FR = yearly foreign reserves ($000’s), OIL = annual oil prices, EXP = yearly total exports ($000’s) and FDI = annual foreign direct investment ($000’s). The sample of data was processed using MINITAB and the following is an extract of the output obtained:Predictor Coef StDev t-ratio p-value Constant 5491.38 2508.81 2.1888 0.0491OIL 85.39 18.46 4.626 0.0006EXP -377.08 112.19 * 0.0057FDI -396.99 160.66 -2.471 ** S = 2.45 R-sq = 96.3% R-sq(adj) = 95.3%Analysis of VarianceSource DF SS MS F pRegression 3 1991.31 663.77 ? ??Error 12 77.4 6.45Total 15 Perform the F Test making sure to state the null and alternative hypothesis. f) Given an interpretation of the term “R-sq” and comment on its value.
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Data were recorded for 117 months on a household's gas bill (in dollars) and the average monthly temperatures for its neighborhood. The mean monthly temperature was 48.7°F with a standard deviation of 20.6. The mean gas bill price was $81.20 with a standard deviation of 66.5. The correlation coefficient between monthly temperature and gas bill price is -0.92. 22) Determine the correct value of the slope for the linear model that predicts gas bill price from monthly temperature and interpret it in context. The slope is - 2.97. For every one degree increase in monthly temperature, the gas bill price is predicted to decrease by $2.97. The slope is - 0.28. For every one degree increase in monthly temperature, the gas bill price is predicted to decrease by $0.28. The slope is - 2.97. For every one dollar increase in gas bill price, the monthly temperature is predicted to decrease by 2.97°. The slope is - 0.28. For every one dollar increase in gas bill price, the monthly temperature…

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