The first image is used for context. The second image needs to be solved. Thanks x = 117E y = 660n = 8néメワー(をx)(いッ)néxー(をx)NowiE x2 = 1869E y? = 54638E xy = 9519: byx =The professor is a bit...

The first image is used for context. The second image needs to be solved. Thanks

Extracted text: 9. 4)Mean X =? = -14.625 Mean ý = EY = 660= 82.5 A math professor selects 8 students at random from her calculus class and asks them to record their study times. After two weeks, she gives an exam. the number of hours, x, of study time and the test score, y, yield the following sample data summary: > x = 117 E y = 660 n = 8 néメワー(をx)(いッ) néxー(をx) Nowi E x2 = 1869 E y? = 54638 E xy = 9519 : byx = The professor is a bit surprised. byx =(8.90 a) Find the equation of the regression line. 9519-117.660) b) Use the regression line to predict the score of a student who studies for 20 hours over the two weeks. 8.1869-172 ニ-l068 1263 = -0.8456. Now, ソーラ= by× (x-ヌ) ソ-82.5 = -0.8456 (x- l4.62s) ソ-82.5 - -0.3uS6xt1z.367 y - -0.8us6Gx +12.367782.5 =-0.8456X tay.867 b) Given メ=20 Now, Y--0.3456×てo tqy.86> --16.912) tqu.867 - 77. 95u9


Extracted text: Continuing with the data from problem 9, are study time and exam score negatively linearly correlated at the 1% significance level? Find the linear correlation coefficient, and perform the hypothesis test for a negative population linear correlation coefficient p. The hypotheses are: Ho. p = 0 Ha. p < 0 your answer must include: a) the linear correlation coefficient r. b) the critical value of the test. c) the value of the test statistic, and d) a statement of conclusion. 0="" your="" answer="" must="" include:="" a)="" the="" linear="" correlation="" coefficient="" r.="" b)="" the="" critical="" value="" of="" the="" test.="" c)="" the="" value="" of="" the="" test="" statistic,="" and="" d)="" a="" statement="" of="">