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- Does Table 1 represent a linear function? If so, finda linear equation that models the data.A value of r close to _______ suggests at most a weak linear relationship between the variables.The number of rushing yards per year by a running back af a team has increased approximately linearly from 1840 in 2003 to 24 yards in 2008. Let r be a players number of rushing yards in the year that is t years since 2000. find an equation of the linear model to describe the data?
- Explain what is meant when two variables are positively linesrly related. What would scatter plott look like? Two variables x and y are postively linearly related if when the x value increases , the y value increases or decrease? The points on a scatter plot fall approximately in a-an ascending straight line b- a descending curve c- a descending straight line or d- an ascending curve from left to right?In a study of the lung function of children, the volume of air exhaled under force in one second is called FEV1. (FEV1 stands for forced expiratory volume in one second.) Measurements were made on a group of children each year for two years. A linear model was fit to predict this year’s FEV1 as a function of last year’s FEV1 (in liters), the child’s gender (0 = Male, 1 = Female), the child’s height (in m), and the ambient atmospheric pressure (in mm). To try to improve the prediction of FEV1, additional independent variables are included in the model. These new variables are Weight (in kg), the product (interaction) of Height and Weight, and the ambient temperature (in °C). The following MINITAB output presents results of fitting the model FEV1 = β0 + β1 Last FEV1 + β2 Gender + β3 Height + β4 Weight + β5 Height · Weight + β6 Temperature + β7 Pressure + ε a) The F statistic is? b) How many degrees of freedom does the F statistic have? c) Find the P-value for the F statistic. Is the…from the early 1970's through 2001, the rate of obesity in young american children , ages 6 to 11, has shown a linear increase. in 1988, approximately 11.3% of 6 - 11 year old american children were obese. by 2003, the rate of obese americans had risen to 14% . a. write a linear model that would model these data where time in years after 1988 and r is the rate of obesity as a percentage . b. use this model to predict the 2014 obesity rate among 6 - 11 year old american children