SSR = SSE D. Compute the coefficient of d Comment on the guodness of The least squares line Select c. What is the value of the sa

State the least squares criterion, Q.

Explain the Extended Least Squares Assumptions?

Percentages of public school students in fourth and eighth grades who were above the proficiency level were given for 8 western states     4th Grade Proficiency 8th Grade Proficiency Arizona 15 21 California 11 18 Hawaii 16 16 Montana 22 37 New Mexico 13 13 Oregon 21 32 Utah 23 26 Wyoming 19 25   Construct a scatterplot and comment on any interesting characteristics                     Find the least squares equation.             If Nevada had a 4th grade proficiency of 14%, what would you expect the 8th grade proficiency to be?

In order to study the relationship between age and length of time that a smoker has been smoking, the following data were collected. x= age of a smoker y= years since he or she started smoking. x =          y= 26           8 32           9 27           7 24           6 34           10 20            4 Compute the coorelation and find the least squares line.

At a university, undergraduates were asked their own height and the ideal height for their ideal spouse or partner. The table shows the data for a representative sample of 10 students, where x represents the height of the students and y represents the height for their ideal spouse or partner. All heights are in inches. Complete parts a through c. X y 59 67 61 71 66 72 73 75 69 71 X y 67 63 70 63 71 67 73 67 75 67 n a. Find the least squares line and correlation coefficient for this data. What strange phenomenon do you observe? Find the least squares line using a graphing calculator. The least squares line is Y = (Use integers or decimals for any numbers in the expression. Round to four decimal places as needed.)

Consider the data points (2, 1), (0, –4) and (−2,−3). Given that the least squares line of best fit is y = x − 2 ,which one of the following is the least squares error? √38 +√6 √6

An engineer is testing a new car model to determine how its fuel efficiency, measured in L/(100 km), is related to its speed, which is measured in km/hour. The engineer calculates the average speed for 30 trials. The average speed is an example of a (statistic or parameter) The engineer would like to find the least squares regression line predicting fuel used (y) from speed (x) for the 30 cars he observed. He collected the data below. Speed 62 65 80 82 85 87 90 96 98 100 Fuel 12 13 14 13 14 14 15 15 16 15 Speed 100 102 104 107 112 114 114 117 121 122 Fuel 16 17 16 17 18 17 18 17 18 19 Speed 124 127 127 130 132 137 138 142 144 150 Fuel 18 19 20 19 21 23 22 23 24 26 The regression line equation is Round each number to four decimal places.

During oil drilling operations, components of the drilling assembly may suffer from sulfide stress cracking. An article reported on a study in which the composition of a standard grade of steel was analyzed. The following data on y = threshold stress (% SMYS) and x = yield strength (MPa) was read from a graph in the article (which also included the equation of the least squares line). X 634 643 712 709 y S = 100 92 87 83 835 78 (b) Compute the estimated standard deviation s 820 810 75 74 870 63 856 923 878 937 57 55 ΣΥ, = 10,575, ΣΥ, = 892, Σχιζ = 8,739,877, = 8,739,877, Σy? L x = 65,852, ExY, = 701,865 (a) What proportion of observed variation in stress can be attributed to the approximate linear relationship between the two variables? (Round your answer to four decimal places.) (Round your answer to four decimal places.) SB₁ 47 Does it appear that this true average change has been precisely estimated? O This is a fairly wide interval, so has been precisely estimated. 0 O This is a…