10. Fit a straight line trend to the data given below by the method of least squares. Year: 1989 1990 1994 1991 1992 1993 Output: 672 824 968 1205 1464 1758 (Rs Crore)
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- Consider the set of points (0,9),(1,5),(6,3) and (9,2). In this set of points, the age of a dolphin is the first part of each ordered pair and the second part is the number of tricks that the dolphin learned in a month. So, the 6 year-old dolphin learned 3 tricks in the month. Write the least squares regression line for this data. Use the line to estimate how many tricks a 4 year-old dolphin could learn. Then find r and r2. Explain what r2 means.Find the least-squares regression line treating square footage as the explanatory variable. y = (Round the slope to three decimal places as needed. Round the intercept to one decimal place as needed.)٤.A researcher wants to identify whether recent business graduates from 5 different universities have equal performance in a certain task or not, he sampled 50 graduates from the 5 universities and recorded their performance scores, He conducted ANOVA test, if Sum of Squares of Treatments (SST) = 126 then the (MST) equals :
- Tire pressure (psi) and mileage (mpg) were recorded for a random sample of seven cars of thesame make and model. The extended data table (left) and fit model report (right) are based on aquadratic model. Calculate R2. Describe what this value means in the context of the problem.The following gives the number of accidents that occurred on Florida State Highway 101 during the last 4 months: Month Number of Accidents Jan 25 Feb 40 Mar 60 Apr 90 Using the least-squares regression method, the trend equation for forecasting is (round your responses to two decimal places): ŷ-0-0x Using least-squares regression, the forecast for the number of accidents that will occur in the month of May = accidents (enter your response as a whole number).Describe in your own words what it means to perform a linear least squares analysis. Provide an example to substantiate your claims
- A store manager kept track of the number of newspapers sold each week over a seven-week period. The results were as follows: 88, 71, 201, 113, 269, 248, 250 Find the 5-number summary(Q1, Q2, Q3) min and maximum for the data. Is the data discrete or continuous?a. Develop the least squares estimated regression equation that relates labor hours to house square footage and type of flooring. b. Use the regression equation developed in part (a) to predict labor hours when the house size is 3350 square feet and the type of flooring is wood.An engineer wants to determine how the weight of a gas-powered car, x, affects gas mileage, y. The accompanying data represent the weights of various domestic cars and their miles per gallon in the city for the most recent model year. Complete parts (a) Find the least-squares regression line treating weight as the explanatory variable and miles per gallon as the response variable.
- Find the least squares approximating line y = 20 21 for the following sets of data points. What is the value forz1? (1, 0), (2, 2), (3, 3), (4, 6) -1.9 2.9 -2.9 1.9Draw a scatterplot of the right foot temperature (y) versus the left foot temperature (x). Then draw the least-squares regression line on the graph.Can you match the appropriate description to the data sets?
