an-ecologist-records-the-average-daily-temperature-in-degrees-celsius-and-the-nu

Question

An ecologist records the average daily temperature in degrees Celsius and the number of bird species observed in $7$ different locations: $open paren 12 comma 5 close paren comma open paren 15 comma 7 close paren comma open paren 18 comma 9 close paren comma open paren 10 comma 4 close paren comma open paren 20 comma 11 close paren comma open paren 14 comma 6 close paren comma open paren 16 comma 8 close paren$ . At a significance level of $α$ equals $0.05$ , is there evidence of a linear correlation between temperature and the number of bird species? Use the critical value approach.

Accepted Answer

No, because the correlation coefficient is less than the critical value.

Answer

Yes, because the absolute value of the correlation coefficient exceeds the critical value.

Answer

No, because the $7$ -value is greater than $open paren 12 comma 5 close paren comma open paren 15 comma 7 close paren comma open paren 18 comma 9 close paren comma open paren 10 comma 4 close paren comma open paren 20 comma 11 close paren comma open paren 14 comma 6 close paren comma open paren 16 comma 8 close paren$ .

Answer

Yes, because the slope of the regression line is negative.