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I need help with the questions shown in the image and (c) Find the sample correlation coefficient r and the coefficient of determination (Round your

I need help with the questions shown in the image and (c) Find the sample correlation coefficient r and the coefficient of determination (Round your answers to three decimal places) r = __ r = ___ What percentage of variation in y is explained by the least - squares model? (Round your answer to one decimal place) ___% (d) Test the claim that the population correlation coefficient P is positive at the 1% level of significance (Round your test statistic to three decimal places) t = __ Find or estimate the P-value of the test statistic -P-value > 0.250 -0.125 0 -Reject the null hypothesis. There is insufficient evidence that P>0 -Fail to reject the null hypothesis. There is sufficient evidence that P>0 -Fail to reject the null hypothesis. There is insufficient evidence that P>0 (e) If a female baby weighs 21 pounds at 1 year, what do you predict she will weigh at 30 years of age? ( Round your answer to two decimal places) ____ Ib (f) Find Se (Round your answer to two decimal places) Se___ (g) Find a 95% confidence interval for weight at age 30 of a female who weighed 21 pounds at 1 year of age. (Round your answers to two decimal places) lower limit ___ Ib upper limit ___ Ib (h) test the claim that's the slope B of the population least-squares line is positive at the 1% level of significance (Round your test statistic to three decimal places) t = ___ Find or estimate the P-value of the test statistic. -P-value > 0.250 -0.125 0 -Reject the null hypothesis. There is insufficient evidence that B>0 -Fail to reject the null hypothesis. There is sufficient evidence that B>0 -Fail to reject the null hypothesis. There is insufficient evidence that B>0 (I) Find an 80% confidence interval for B and interpret its meaning. (Round your answers to three decimal places.) lower limit ___ upper limit ___ Interpretation - for each pound more a female infant weighs at one year, the adult weight increases by an amount that falls within the confidence interval - for each pound more a female infant weighs at one year, the adult weight increases by an amount that falls outside the confidence interval - for each pound less a female infant weighs at one year, the adult weight increases my amount that falls outside the confidence interval - for each pound less a female infant weighs at one year, the adult weight increases by amount that falls within the confidence interval

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Modern medical practice tells us not to encourage bables to become too fat. Is there a positive correlation between the weight x of a 1-year old baby and the weight y of the mature adult (30 years old)? A random s wing Information for 14 females. x (1b) 20 2 24 22 20 y ( 1b) 128 129 125 120 130 120 145 130 130 21 17 24 26 130 140 110 125 In this setting we have Ex = 300, Zy = 1782, Ex = 6590, Ly = 227,900, and Exy = 38,393. (a) Find x, y, b, and the equation of the least-squares line. (Round your answers for x and y to two decimal places. Round your answers for least-squares estimates to four decimal places.) x = 21 43 y= 127 29 b= 12841 = 99 7699 TPBZ T + (b) Draw a scatter diagram displaying the data. Graph the least-squares line on your scatter diagram. Be sure to plot the point (x, y) 140 140 120 30 O 1 Us 11:28 A O esc # m O C

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