# D explain why or why not inference on the intercept

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(d) Explain why or why not inference on the intercept is reasonable (i.e. of interest) in this problem.
5. An investigative study collected 40 observations from the Wabash river at random locations near Lafayette. Each observation consisted of a measure of water pH ( X ) and fish count ( Y ). The researchers are interested in how the acidity of the water affects the number of fish. Complete the following ANOVA table for the regression analysis (the p -value need not be exact). State the null and alternative hypotheses for the F -test as well as your conclusion in sentence form.
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degrees of Sum of Mean Source freedom Squares Square F -value Pr > F Model 1 55.30 55.30 445.97 < 0 . 0001 Error 38 4.70 0.124 Corrected Total 39 60.00 The hypotheses are H 0 : β 1 = 0 H A : β 1 6 = 0 . We reject the null hypothesis and conclude that there is a significant linear rela- tionship between water pH and fish count. 6
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