Find the least-squares regression line y^ =b0+b1x through the points (−2,0),(2,6),(5,14),(8,20),(10,26) and then use it to find point estimates y^ corresponding to x=1 and x=8. For x=1, y^ =? For x=8, y^ =?
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Find the least-squares regression line y^ =b0+b1x through the points
For x=1, y^ =?
For x=8, y^ =?
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- Find the least regression line of (0, -3), (1, –1), (2, 1) and (3, 3)Find the least-squares regression line ŷ =b0+b1x through the points (-1,2), (3,8),(4,13), (9,19),(11,23) and then use it to find point estimates ŷ y^ corresponding to x=2 and x=6. For x=2, ŷ = For x=6, ŷ =Find the coefficients for the least-squares regression line y^=b0+b1x through the points (−2,0),(2,6),(4,14),(9,20),(9,25) b0 =. b1 =
- Find the least squares regression line for the points. (0, 5), (3, 3), (5, 1), (7, -4), (9, -5) 1.) y =Suppose the manager of a gas station monitors how many bags of ice he sells daily along with recording the highest temperature each day during the summer. The data are plotted with temperature, in degrees Fahrenheit (°F), as the explanatory variable and the number of ice bags sold that day as the response variable. The least squares regression (LSR) line for the data is ?ˆ=−151.05+2.65?Y^=−151.05+2.65X. On one of the observed days, the temperature was 82 °F82 °F and 68 bags of ice were sold. Determine the number of bags of ice predicted to be sold by the LSR line, ?ˆY^, when the temperature is 82 °F.82 °F. Enter your answer as a whole number, rounding if necessary.Find the least-squares regression line y^=b0+b1x through the points (−1,1),(1,8),(5,14),(8,20),(11,27) and then use it to find point estimates ?̂y^ corresponding to x=1 and x=6. For x=1, y^ = For x=6, y^ =
- Use the least squares regression line of this data set to predict a value. Meteorologists in a seaside town wanted to understand how their annual rainfall is affected by the temperature of coastal waters. For the past few years, they monitored the average temperature of coastal waters (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. The least squares regression line of this data set is: y = 8.116x + 273.273 How much rainfall does this line predict in a year if the average temperature of coastal waters is 15 degrees Celsius? Round your answer to the nearest integer. millimetresFind the equation y = Bo + B1x of the least-squares line that best fits the given data points. (0,1), (1,1), (2,5), (3,5) The line is y =+ (Ox. (Type integers or decimals.)A regression was run to determine if there is a relationship between the happiness index (y) and lifeexpectancy in years of a given country (x). The results of the regression were: y^=a+bx ; a=-0.423 ,b=0.07 a. Write the equation of the Least Squares Regression line.b. Find the value for the correlation coefficient, r?c. If a country increases its life expectancy, the happiness index will Increase or decrease ( circleone)d. If the life expectancy is increased by 1 year in a certain country, how much will the happinessindex change? Round to two decimal places.e. Use the regression line to predict the happiness index of a country with a life expectancy of 85years. Round to two decimal places.-
- A statistics professor bought a new car for $35,000. For the next 5 years, she used several automotive web pages to estimate the value of the car. She then found the least‑squares regression line for the data to be y^ =35035.71−4142.86x where yy is the value of the car and xx is the years since she purchased it. Predict the value of her vehicle after 6 years.Find the least-squares regression line y^ =b0+b1xy^=b0+b1x through the points (−3,1),(1,8),(6,13),(7,18),(12,27). For what value of is y^ =0? x =?Compute the least-squares regression line for predicting the right foot temperature from the left foot temperature. Round the slope and y-Intercept values to four decimal places.