Let Ximexp (A). Show i Sulficieny that T-ZXi is Statistics

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​(d) Does a linear relation exist between the speed at which a ball is hit and the distance the ball​ travels?   The variables speed at which the ball is hit and the distance the ball travels are positively associated because r is positive and the absolute value of the correlation coefficient is greater than the critical value (            )    ​(Round to three decimal places as​ needed.)

Your company manufactures plastic wrap for food storage.  The tear resistance of the wrap, denoted by X, must be controlled so that the wrap can be torn off the roll without too much effort but it does not tear too easily when in use. In a series of tests (see data table below), 15 rolls of wrap are made under carefully controlled conditions and the tear resistance of each rool is measured. The results are used as the basis of a quality assurance specification.  If X for a subsequently produced roll falls more than two standard deviations away from the test period average, the process is declared out of specification and production is suspended for routine maintenance.     Roll   1    2    3    4    5    6    7    8    9    10    11    12    13    14    15    X   134    131    129    133    135    131    134    130    131    136    129    130    133    130    133  a)What is the mean tear resistance? Enter your answer to the correct number of significant figures. b)What is the…

We are researching the charity donation behaviour of Australians. We have the following model: (E1) Donate = β0 + β1Income +β2Avg_Gift + β3Edu + u Where: Donate is a dummy variable equal to 1 if the individual makes a donation in response to a social media campaign by our charity organisation, and 0 otherwise Income is the annual household income Avg_Gift is the average value of past donations made by the individual to our charity Educ is the individual's level of education (in years) Our data is a random sample of the population and we have 1,614 observations. You should assume E [u | Income, Avg_Gift, Educ] = 0. Using the information above, please answer the following 3 questions. [i] Referring to Model (E1) above, interpret the coefficient β1.  [ii] You know that this model will suffer from heteroskedasticity. Why is this the case? Explain your reasoning.  [iii] In your own words, what is heteroskedasticity?