2. In Canada, fuel consumption ratings for vehicles are expressed in L/100 km, or the number of litres of fuel used to travel 100 km. Fuel Consumption for a Vehicle Driven at Different Speeds on a Test Track Speed (km/h) 60 70 80 90 100 110 120 130 Fuel consumption (L/100 km) 5.6 5.9 6.2 6.7 7.4 8.1 8.7 9.4 a) Which is the independent variable? Justify your choice. b) What happens to the fuel consumption as the speed increases? c) Create a scatter plot and the line of best fit of the data. Find an equation of the line of best fit. d) Describe the relationship between the variables. e) Use the plotted data to estimate the fuel consumption for this car at a speed of 85 km/h.

2.) Explain why the relative frequency column of a frequency table might not sum to 1.0.

The data show the test results from students in two classrooms, one integrated and one not. There are two sets of test scores, a pre-test and a post-test for both groups. First, calculate a measure of change in the test scores for students in both groups. Then, use the resulting measure of change to compare both groups on the measure of change from the pre-test to the post-test. When finished, write a short summary of what you found, including: Group 1 mean Group 2 mean Ho and H1 t-observed t-critical

An engineer wants to determine how the weight of a gas powered car, x, affects gas mileage, y. The accompanying days represent the weights of various domestic cars and their miles per gallon in the city for the most recent model year. weight                    Miles per (pounds), x           Gallon, y 3797                             16 3897                             16 2704                             24 3608                             20 3360                             22 3040                             22 3787                              17 2618                              24 3509                             18 3798                             16 3399                             17   interpret the slope y-intercept, if appropriate. Choose the correct answer below for y hat = -0.00661x + 41.80 a) A weightless car will get ____ miles per gallon, on average. It is not appropriate to interpret the slope.  b) for every pound added to the weight of the car, mileage in the city will…

Q1. A study was conducted to investigate the relationship between premature birth and mental development at 12 months. The infant's birth weight was used as an index of prematurity. At age 12 months, the child's mental development was recorded. The results are shown below (the weights are in pounds): Birth 4 6 7 8 Weight(x) Developmental 85 Quotients(y) 88 87 94 96 Summary: n = 5, £x=30, £x² = 190, Ey= 450, Ey² = 40590, Exy = 2728 . a. Find the least square prediction equation, y on x. b. Obtain a 95% confidence interval for the average value of y when x 6.5 (i.e., a C.I. for E(y|x= 6.5)). c. Obtain the coefficient of correlation (r) and interpret the result. d. Test the hypothesis that H, :p= 0 vs. H, : p0. Use a =0.05.

Pls help to solve this homwork