Question

A data set includes weights of garbage discarded in one week from 62 different households. The paired weights of paper and glass were used to obtain the results shown to the right. Is there sufficient evidence to support the claim that there is a linear correlation between weights of discarded paper and glass? Use a significance level of a = 0.05. Correlation matrix: Variables Paper Glass 10.1379 Glass 0.1379 Click here to view a table of critical values for the correlation coefficient Paper Determine the null and alternative hypotheses. Hop VII H:pl (Type integers or decimals. Do not round.) Identify the test statistic, r. (Round to three decimal places as needed.) Identify the critical value(s). (Round to three decimal places as needed.) O A. There are two critical values at r= 1 OB. There is one critical value at r= State the conclusion. the positive critical value, there sufficient evidence to support the claim that there is a linear correlation between the weights of discarded paper and glass for a Because the absolute value of the test statistic is significance level of a = 0.05.

Answer 1

I ran-2 solution matrix the correlation Paper (x) Glass (4) 1 0.1379 1 0.1379 between x and y 1 given variables Paper (x) Glass (Y) sample correlation r Also The mull and Hoi f = 0 H, : I to 0.1379 = 62 n alternative hypothesis are The is test statistic r = 0.1379 two tailed is sinice the test critical value era r0.05/2, 62-2 = 1 10.025,60 - I 9.250 (from table table for critical values of er critical values are of at r= + 0250 two (A) There state the conclusion Because the test statistic absolute value the is 0.1379 is less than the positive critical value there is not sufficient evidence to

a linear support the claim that there is correlation between the weights of discarded paper and glass for significance level a of a=0.50. २ ) Given slope = 140 y- intercept = -391 the (a) The regression line is of equation - 391+ 1400 the predicted b) The symbol. ŷ represent A) The symbol ý represents value of price.
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