Extracted text: Consider the following data for a dependent variable y and two independent variables, x, and x2. X1 x2 y 30 12 95 47 10 108 25 17 112 51 16 178 40 5 94 51 19 175 74 7 170 36 12 117 59 13 142 76 16 212 The estimated regression equation for these data is ý = -18.52 + 2.01x, + 4.75x2. 14,109.8, 5b, = 0.2464, and Here, SST = 15,234.1, SSR = = 0.9457. (a) Test for a significant relationship among x,, x,, and y. Use a = 0.05. State the null and alternative hypotheses. O Ho: B1 = 82 = 0 H: One or more of the parameters is not equal to zero. O Ho: B, < b2="" h:="" b,="" 2="" 82="" o="" ho:="" b,="" +0="" and="" b2="0" h:="" b,="0" and="" b2="" +="" 0="" o="" ho:="" b1=""> B2 H: B, s B2 O Ho: B, + 0 and 82 # 0 H: One or more of the parameters is equal to zero. Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value =
Extracted text: Find the p-value. (Round your answer to three decimal places.) p-value = State your conclusion. O Do not reject H,. There is sufficient evidence to conclude that there is a significant relationship among the variables. O Reject H,. There is sufficient evidence to conclude that there is a significant relationship among the variables. O Reject H,. There s insufficient evidence to conclude that there is a significant relationship among the variables. O Do not reject H,. There is insufficient evidence to conclude that there is a significant relationship among the variables. (b) Is 8, significant? Use a = 0.05. State the null and alternative hypotheses. O Ho: B, = 0 H: B, > 0 O Ho: B1 > 0 O H;: B, +0 H: B = 0 O H;: B, = 0 H: B + 0 O Họ: B1 < 0 h,: b, 20 find the value of the test statistic. (round your answer to two decimal places.) find the p-value. (round your answer to three decimal places.) p-value = state your conclusion. o do not reject h,. there is insufficient evidence to conclude that 8, is significant. reject h.. there is insufficient evidence to conclude that 8, is significant. o reject h. there is sufficient evidence to conclude that 8, is significant. o do not reject h,. there is sufficient evidence to conclude that 8, is significant. 0="" h,:="" b,="" 20="" find="" the="" value="" of="" the="" test="" statistic.="" (round="" your="" answer="" to="" two="" decimal="" places.)="" find="" the="" p-value.="" (round="" your="" answer="" to="" three="" decimal="" places.)="" p-value="State" your="" conclusion.="" o="" do="" not="" reject="" h,.="" there="" is="" insufficient="" evidence="" to="" conclude="" that="" 8,="" is="" significant.="" reject="" h..="" there="" is="" insufficient="" evidence="" to="" conclude="" that="" 8,="" is="" significant.="" o="" reject="" h.="" there="" is="" sufficient="" evidence="" to="" conclude="" that="" 8,="" is="" significant.="" o="" do="" not="" reject="" h,.="" there="" is="" sufficient="" evidence="" to="" conclude="" that="" 8,="" is="">